This class describes the displacement operator defined on the cells of the mesh with Surface Gradient Reconstruction. More...

#include <EMM_DisplacementFVM_STEGROperator.h>

Inheritance diagram for EMM_DisplacementFVM_STEGROperator:

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Collaboration diagram for EMM_DisplacementFVM_STEGROperator:

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Public Member Functions
virtual void	computeGradUAtFace (const tBoolean &withConstraints, const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tUIndex &nextCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const CORE_UIndexMorseArray &neighborsIndices, const tDimension &dim, const tReal Ucells, const tReal Ui, const tLimitCondition lc, const tBoolean &incU0, const tReal U0, tReal gradU[9]) const
	compute the gradient U at the center of the face f of a cell. f is either an interior face or a Dirichlet face More...

virtual void	computeGradUAtCell (const tBoolean &withConstraints, const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const tUIndex neighbors, const tDimension &dim, const tReal Ucells, const tReal Ui, const tLimitCondition lc, const tBoolean &incU0, const tReal *U0, tReal gradU[9]) const
	compute the value of Grad U on cell $\omega$ More...

virtual void	buildDataOnBoundaryFaces (const EMM_Grid3D &mesh, const EMM_LimitConditionArray &limitConditionOnPoints, const EMM_RealField &U0, EMM_RealField &DnU0)
	build the data on boundary faces Dirichlet and Neumann More...

const EMM_RealField &	getDisplacementOnDirichletBoundary () const
	get the displacement field at boundary for reading More...

EMM_RealField &	getDisplacementOnDirichletBoundary ()
	get the displacement field at boundary for writing More...

virtual tBoolean	discretize (const EMM_LandauLifschitzSystem &system)
	discretize and initialize the operator More...

virtual tBoolean	resetToInitialState (const EMM_LandauLifschitzSystem &system)
	reset the operator to initial step More...

virtual tULLInt	getMemorySize () const
	return the memory size in byte More...

const CORE_UIndexMorseArray &	getNeighborsIndices () const
	get the index of the neighbor cells for each cell of the mesh for reading More...

CORE_UIndexMorseArray &	getNeighborsIndices ()
	get the index of the neighbor cells for each cell of the mesh More...

const tUInteger *	getSegmentsNumber () const
	get number of segments in each direction More...

const tBoolean *	isDirectionPeriodic () const
	get priodic directions More...

void	setIsGhostCellOn (const tBoolean &isOn)
	set true to considered ghost cells on boundary faces More...

const tBoolean &	isGhostCellOn () const
	get true to considered ghost cells on boundary faces More...

virtual tBoolean	backup (const tString &prefix, const tString &suffix, const tString &ext) const
	backup of the operator data into file(s) used for restoring More...

virtual tBoolean	restore (const EMM_LandauLifschitzSystem &system, const tString &prefix, const tString &suffix, const tString &ext)
	restore the operator data from file(s) More...

virtual tBoolean	getDataFieldSpace (const tUSInt &index, tString &dataName, tFlag &supportType, tString &dFieldType, tUIndex &n, tDimension &dim) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual void	spaceProjection (const tUIndex &nPoints, const tDimension &dim, const tReal V0, tReal V) const
	make the projection of the vector B into the solving linear space More...

virtual void	setSolver (const tString &solverName)
	set the solver More...

void	setSolver (SP::MATH_Solver solver)
	set the solver More...

virtual void	computeEquilibriumMatrixDiagonalConditioner (MATH_Vector &D) const
	compute the diagonal conditioner More...

virtual void	computeElasticTensor (const EMM_RealField &U, EMM_2PackedSymmetricTensors &eTensor)
	compute the elastic tensor for all cells More...

virtual void	computeElasticStress (const EMM_RealField &U, EMM_RealField &S) const
	compute the elastic stress for all cells $div(\lambda^e:\epsilon(U))$ More...

void	computeElasticStress (const tUIndex &nData, const tDimension &dim, const tReal U, tReal D) const
	compute the elastic stress $S_e(u) =div \left (\tilde \lambda^e : \varepsilon(u) \right )$ More...

void	computeMagneticStress (const EMM_RealArray &sigma, const EMM_RealField &M, EMM_RealField &S) const
	compute the magnetic stress for all cells $S=div(\lambda^e:\lambda^m:M\otimes M)$ More...

virtual void	computeMagneticStress (const tReal &alpha, const tReal &beta, const EMM_RealArray &sigma, const EMM_RealField &M, EMM_RealField &S) const =0
	compute the magnetic stress for all cells from the stress $S=alphaS+betadiv(\lambda^e:\lambda^m:M\otimes M)$ More...

virtual tReal	computeCineticEnergy (const EMM_RealField &V) const
	compute the energy of the magnetostriction operator at current displacement and velocity More...

virtual tReal	computePotentialEnergy (const EMM_RealField &U) const
	compute the potential energy to the space variation of the displacement More...

tReal	computeStressConstraintEnergy (const EMM_RealField &Uf) const
	compute the stress constraint energy on boundary More...

tReal	computeStressConstraintEnergy (const tReal &t) const
	compute the energy of the boundary stress constraint More...

virtual void	adimensionize (const tReal &Le, const tReal &Ms, const tReal &T, const tReal &L)
	adimensionize the operator More...

const tReal *	getAdimensionizedSegmentsSize () const
	get the segments size in all directions More...

const EMM_RealArray &	getAdimensionizedVolumicMass () const
	get the adimensionized volumic mass per cell More...

const EMM_4SymmetricTensors &	getLambdaE () const
	return the adimensionized elastic tensor distribution $\lambda^e$ More...

const EMM_4Tensors &	getLambdaEDoubleDotLambdaM () const
	return the adimensionized magnetic tensor distribution $\lambda^e:\lambda^m$ More...

const EMM_4Tensors &	getLambdaMDoubleDotLambdaE () const
	return the adimensionized magnetic tensor distribution $\lambda^m:\lambda^e$ More...

const EMM_4SymmetricTensors &	getLambdaMDoubleDotLambdaEDoubleDotLambdaM () const
	return the adimensionized magnetic tensor distribution $\lambda^m:\lambda^e:\lambda^m$ More...

void	setInitialDisplacement (const tReal &scale, const tString &dataFile)
	set initial displacement field. More...

void	setInitialDisplacement (const tReal data[3])
	set initial displacement field More...

void	setInitialDisplacement (const tReal U0, const tReal &U1, const tReal &U2)
	set initial displacement field More...

void	setInitialDisplacement (const EMM_RealField &data)
	set initial displacement field More...

void	setInitialVelocity (const tReal &scale, const tString &dataFile)
	set initial velocity field More...

void	setInitialVelocity (const EMM_RealField &data)
	set initial velocity field More...

void	setInitialVelocity (const tReal data[3])
	set initial velocity field More...

void	setInitialVelocity (const tReal &V0, const tReal &V1, const tReal &V2)
	set initial velocity field More...

void	setLimitConditionOnPoints (const EMM_IntArray &lc)
	set the limit condition each point is set to More...

void	setLimitConditionOnPoints (const tLimitCondition &lc)
	set the limit condition to all points More...

void	setConstraints (const tFlag &C, const tString &dataFile)
	set constraints from file defined on points More...

void	setConstraints (const tFlag &C, const tReal data[3])
	set constraints field More...

void	setConstraints (const tFlag &C, const tReal &C0, const tReal &C1, const tReal &C2)
	set initial constriants field More...

void	setConstraints (const tFlag &C, const EMM_RealField &data)
	set constraints More...

const tFlag &	getConstraintFaces () const
	get the constraint faces $C=\sum_{f=0}^{f=5} C_f 2^f$ if face f is constrainted More...

const EMM_RealField &	getConstraints () const
	get the constraints field for reading More...

EMM_RealField &	getConstraints ()
	get the constraints field for writing More...

const EMM_LimitConditionArray &	getLimitConditionOnPoints () const

SPC::EMM_LimitConditionArray	getLimitConditionOnPointsByReference () const

void	nullProjectionOnDirichletBoundary (EMM_RealField &V) const
	project the velocity to 0 on dirichlet boundary points More...

void	nullProjectionOnDirichletBoundary (const tUIndex &nPoints, const tDimension &dim, tReal *V) const
	project the velocity to 0 on dirichlet boundary points More...

void	projectionOnDirichletBoundary (const EMM_RealField &V0, EMM_RealField &V) const
	project the velocity to 0 on dirichlet boundary points More...

void	projectionOnDirichletBoundary (const tUIndex &nPoints, const tDimension &dim, const tBoolean &incV0, const tReal V0, tReal V) const
	project the velocity to 0 on dirichlet boundary points More...

void	periodicProjection (const tCellFlag &periodicity, const tUInteger nPoints[3], EMM_RealField &V) const
	make the periodic projection of the field V More...

const EMM_2PackedSymmetricTensors &	getElasticTensor () const
	return the elastic tensor $\varepsilon(u)=\displaystyle \frac{1}{2} \left ( \frac{\partial u_i}{\partial x_j} + \frac{\partial u_j}{\partial x_i} \right )$ More...

virtual tUSInt	getDataFieldsNumber () const
	get the number of field used in the operator More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const float *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	getDataField (const tUSInt &index, tString &dataName, tUIndex &n, tDimension &dim, const long double *&values) const
	get the data field at index for saving data in vtk,txt,... files. More...

virtual tBoolean	isAffine () const
	return true if the operator is either constant or linear More...

virtual tBoolean	isGradientComputationable () const
	return true if the gradient of the magnetic excitation is computationable More...

void	setDisplacement (const EMM_RealField &u)
	set the displacement field More...

void	setDisplacement (const tReal &Ux, const tReal &Uy, const tReal &Uz)
	set the displacement field to an uniform vector defied on points More...

EMM_RealField &	getDisplacement ()
	get the displacement for writing More...

const EMM_RealField &	getDisplacement () const
	get the displacement for reading More...

const EMM_RealField &	getDisplacement (const tReal &t) const
	get the veolicty at time More...

void	setVelocity (const EMM_RealField &v)
	set the velocity of dicplacement defined on points More...

void	setVelocity (const tReal &Vx, const tReal &Vy, const tReal &Vz)
	set the displacement velocity field to an uniform vector defined on points More...

EMM_RealField &	getVelocity ()
	get the velocity for writing More...

const EMM_RealField &	getVelocity (const tReal &t) const
	get the velocity at time More...

const EMM_RealField &	getVelocity () const
	get the velocity at t for reading More...

EMM_RealField &	getAccelerator ()
	get the accelerator for writing More...

const EMM_RealField &	getAccelerator () const
	get the accelerator for reading More...

MATH_Solver *	getSolver ()
	get the solver of the system More...

void	setElasticityState (const tFlag &v)
	set the elasticity state More...

tBoolean	isSteadyState () const

tBoolean	isEquilibriumState () const

tBoolean	isFrozenState () const

void	setTimeIntegrationMethod (const tFlag &m)
	set the time integration method for new field More...

const tFlag &	getTimeIntegrationMethod () const
	get the time integration method for next time step More...

void	setTimeIntegrationOrder (const tInt &o)
	set the time integration order for new field More...

const tUCInt &	getTimeIntegrationOrder () const
	get the time integration order for new field More...

const tReal &	getTimeStep () const
	get the time step for elasticty More...

void	setCFL (const tReal &cfl)
	set the cfl for computing the initial time step More...

virtual tBoolean	computeFieldsAtTime (const tReal &t, const tFlag &order, const EMM_RealArray &sigma, const EMM_RealField &dM_dt0, const EMM_RealField &M0)
	compute the fields of operator at time More...

virtual tBoolean	updateAtNextTimeStep (const tReal &dt, const EMM_RealArray &sigma, const EMM_RealField &Mt)
	update the data of operator at next time step More...

virtual SP::EMM_BlockEquilibriumMatrix	NewEquilibriumMatrix () const
	create the equilibrium matrix More...

void	setIsEquilibriumMatrixReconditioned (const tBoolean &c)
	set to true if the equilibrium matrix is conditioned More...

const tBoolean &	isEquilibriumMatrixReconditioned () const
	get if the equilibrium matrix is conditioned More...

tBoolean	computeEquilibriumState (const EMM_RealArray &sigma, const EMM_RealField &M, const EMM_RealField &U0, EMM_RealField &U)
	compute the equilibirum state $div(\lambda^e:epsilon(U))=div(\lambda^e:\lambda^m:M \otimes M)$ More...

virtual void	computeElasticStressMatrixProduct (const tUIndex &nData, const tDimension &dim, const tReal U, tReal D) const
	compute the elastic stress Matrix product $A.U = - div \left (\tilde \lambda^e : \varepsilon(u) \right )$ More...

void	computeStress (const EMM_RealArray &sigma, const EMM_RealField &U, const EMM_RealField &M, EMM_RealField &stress) const
	compute the stress $div(sigma(U,M))=div(\lambda^e:\epsilon(U))-div(\lambda^2:\lambda^m:M\otimes M)$ More...

tReal	computeEnergy (const tReal &t, const tUIndex &nCells, const tDimension &dim, const EMM_RealArray &sigma, const tReal *M) const
	compute the energy of the magnetostriction operator at current displacement and velocity More...

tReal	computeCineticEnergyAtTime (const tReal &t) const
	compute the energy due to velocity More...

tReal	computePotentialEnergyAtTime (const tReal &t) const
	compute the potential energy to the space variation of the displacement More...

virtual tString	getName () const
	return an human reading name of the operator More...

const tBoolean &	isCubicVolume () const
	return the true if the element is cubic More...

const tReal &	getElementVolume () const
	return the adimensionized volume of the element More...

void	getSharedPointer (SP::CORE_Object &p)
	get the shared pointer of this class into p More...

void	getSharedPointer (SPC::CORE_Object &p) const
	get the shared pointer of this class into p More...

tString	getClassName () const
	return the class name of the object More...

tString	getIdentityString () const
	return the identity string of the object of the form className_at_address More...

tString	getPointerAddress () const
	return the identity string of the object More...

template<class T >
tBoolean	isInstanceOf () const
	test if the clas T is an instance of this class More...

tBoolean	isInstanceOf (const tString &name) const
	test if the object is an instance of className More...

void	interpolateUAtEdge (const tBoolean &withConstraints, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const tDimension &dim, const tUCInt &l, const tUCInt &r, const tReal Ucells, const tReal Uc, const tLimitCondition lc, const tBoolean &incU0, const tReal U0, const tUIndex Nc, const CORE_UIndexMorseArray &neighbors, tReal iUc, const tReal &iU) const
	interpolate U at edge More...

Static Public Member Functions
static void	setIsMemoryChecked (const tBoolean &v)
	set if the memory checking is used More...

static void	setOut (SP::CORE_Out out)
	set the output stream More...

static void	resetOut ()
	reset the output stream More...

static void	setThread (SP::CORE_Thread thread)
	set the thread More...

static void	resetThread ()
	reset the output stream More...

static CORE_Out &	out ()
	get the output More...

static SP::CORE_Out	getOut ()
	get the output More...

static CORE_Thread &	getThread ()
	get the profilier More...

static const tBoolean &	isMemoryChecked ()
	get if the memory checking is used More...

static tString	getClassName (const tString &identityString)
	return the class name of the object More...

template<class T >
static tString	getTypeName ()
	get type name More...

static tBoolean	is64Architecture ()
	return true if the machine is a 64 bits machine More...

static tBoolean	is32Architecture ()
	return true if the machine is a 32 bits machine More...

static tString	pointer2String (const void *obj)
	return the string representation of a pointer More...

static void	printObjectsInMemory (ostream &f)
	print object in memory More...

static void	printObjectsInMemory ()
	print object in memory in the standart output More...

static tChar	getMaxChar ()
	get the max value for tChar type More...

static tChar	getMinChar ()
	get the min value for tChar type More...

static tUChar	getMaxUChar ()
	get the max value for tUChar type More...

static tUChar	getMinUChar ()
	get the min value for tUChar type More...

static tSInt	getMaxSInt ()
	get the max value for tSInt type More...

static tSInt	getMinSInt ()
	get the min value for tSInt type More...

static tUSInt	getMaxUSInt ()
	get the max value for tUSInt type More...

static tUSInt	getMinUSInt ()
	get the min value for tUSInt type More...

static tInt	getMaxInt ()
	get the max value for tInt type More...

static tInt	getMinInt ()
	get the min value for tInt type More...

static tUInt	getMaxUInt ()
	get the max value for tUInt type More...

static tUInt	getMinUInt ()
	get the min value for tUInt type More...

static tLInt	getMaxLInt ()
	get the max value for tLInt type More...

static tLInt	getMinLInt ()
	get the min value for tLInt type More...

static tULInt	getMaxULInt ()
	get the max value for tULInt type More...

static tULInt	getMinULInt ()
	get the min value for tULInt type More...

static tLLInt	getMaxLLInt ()
	get the max value for tULInt type More...

static tLLInt	getMinLLInt ()
	get the min value for tLLInt type More...

static tULLInt	getMaxULLInt ()
	get the max value for tULLInt type More...

static tULLInt	getMinULLInt ()
	get the min value for tULLInt type More...

static tFloat	getMaxFloat ()
	get the max value for tFloat type More...

static tFloat	getMinFloat ()
	get the min value for tFloat type More...

template<class T >
static T	getEpsilon ()
	get the epsilon value for T type More...

template<class T >
static T	getInfinity ()
	get the infinity for T type More...

static tFloat	getFloatEpsilon ()
	get the epsilon value for tFloat type More...

static tFloat	getFloatInfinity ()
	get the infinity value for tFloat type More...

static tDouble	getMaxDouble ()
	get the max value for tDouble type More...

static tDouble	getMinDouble ()
	get the min value for tDouble type More...

static tDouble	getDoubleInfinity ()
	get the infinity value for tFloat type More...

static tDouble	getDoubleEpsilon ()
	get the epsilon value for tDouble type More...

static tLDouble	getMinLDouble ()
	get the min value for tLDouble type More...

static tLDouble	getMaxLDouble ()
	get the max value for tLDouble type More...

static tLDouble	getLDoubleEpsilon ()
	get the epsilon value for tLDouble type More...

static tDouble	getLDoubleInfinity ()
	get the infinity value for tDouble type More...

static tIndex	getMaxIndex ()
	get the max value for the array/vector indexing type More...

static tIndex	getMinIndex ()
	get the min value for the array/vector indexing type More...

static tUIndex	getMaxUIndex ()
	get the max value for difference the array/vector indexing type More...

static tUIndex	getMinUIndex ()
	get the min value for difference the array/vector indexing type More...

static tFlag	getMaxFlag ()
	get the max value for the tFlag type More...

static tFlag	getMinFlag ()
	get the min value for the tFlag type More...

static tUInteger	getMaxUInteger ()
	get the max value for the unsigned integer type More...

static tUInteger	getMinUInteger ()
	get the min value for the unsigned integer type More...

static tInteger	getMaxInteger ()
	get the max value for the integer type More...

static tInteger	getMinInteger ()
	get the min value for the integer type More...

static tReal	getMaxReal ()
	get the max value for the real type More...

static tReal	getMinReal ()
	get the min value for the real type More...

static tReal	getRealEpsilon ()
	get the eps which is the difference between 1 and the least value greater than 1 that is representable. More...

static tReal	getRealInfinity ()
	get the infinity value More...

template<class T >
static T	computeEpsilon ()
	compute epsilon More...

static tUSInt	computeNeighborCellsNumber (const tUInteger &iP, const tUInteger &jP, const tUInteger &kP, const tUInteger &Nx, const tUInteger &Ny, const tUInteger &Nz, const tBoolean *periodicity, const CORE_UIndexMorseArray &neighbors)
	compute the number of cells connected to vertex More...

static void	interpolateUAtVertex (tUInteger xP, tUInteger yP, tUInteger zP, const tUInteger &Nx, const tUInteger &Ny, const tUInteger &Nz, const tBoolean isPeriodic[3], const CORE_UIndexMorseArray &neighborIndices, const tDimension &dim, const tReal Ucells, const tLimitCondition lc, const tBoolean &incU0, const tReal U0, const tLimitCondition &LCp, tReal Up)

static void	interpolateAlmostNullUAtVertex (const tUInteger &xP, const tUInteger &yP, const tUInteger &zP, const tUInteger &Nx, const tUInteger &Ny, const tUInteger &Nz, const tBoolean isPeriodic[3], const CORE_UIndexMorseArray &neighborIndices, const tDimension &dim, const tUIndex &iCell, const tReal Ui, const tLimitCondition lc, const tLimitCondition &LCp, tReal *Up)

static void	interpolateUAtVertices (const tBoolean &withDirichletPoints, const tUInteger N[3], const tBoolean isPeriodic[3], const CORE_UIndexMorseArray &neighborIndices, const EMM_RealField &Ucells, const EMM_LimitConditionArray &limitConditionOnPoints, const EMM_RealField &U0, EMM_RealField &Up)

static void	interpolateUAtVertices (const tBoolean &withDirichletPoints, const tUInteger N[3], const tBoolean isPeriodic[3], const CORE_UIndexMorseArray &neighborIndices, const tUIndex &nCells, const tDimension &dim, const tReal *U, const EMM_LimitConditionArray &limitConditionOnPoints, const EMM_RealField &U0, EMM_RealField &Up)

static tBoolean	edgeMean (const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tUCInt &g, const tBoolean isPeriodic, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tDimension &dim, const tLimitCondition lc, const tBoolean &incU, const tReal Upoints, tReal Um)
	compute the mean value of U defined on points at edge between face f and face g of the cell (xCell,yCell,zCell) More...

static void	interpolateUAtFace (const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity[3], const CORE_UIndexMorseArray &neighborsIndices, const tUCInt &f, const tDimension &dim, const tReal Ucells, const tLimitCondition lc, const tBoolean &incU0, const tReal U0, tReal Umean)
	compute interpolation of U at Face More...

static void	interpolateAlmostNullUAtFace (const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity[3], const CORE_UIndexMorseArray &neighborsIndices, const tUCInt &f, const tDimension &dim, const tReal Ui, const tLimitCondition lc, const tBoolean &incU0, const tReal U0, tReal Umean)
	compute interpolation of U at Face More...

static tBoolean	faceMean (const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tBoolean isPeriodic, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tDimension &dim, const tLimitCondition lc, const tBoolean &incU, const tReal Upoints, tReal Um)
	compute the mean value of U defined on points at face f of the cell (xCell,yCell,zCell) More...

static tBoolean	cellMean (const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tBoolean isPeriodic, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tDimension &dim, const tLimitCondition lc, const tBoolean &incU, const tReal Upoints, tReal Um)
	compute the mean value of U defined on points at cell (xCell,yCell,zCell) More...

Static Public Attributes
static const tFlag	P1 =1

static const tFlag	TE =0

static const tFlag	FROZEN_STATE =1

static const tFlag	EQUILIBRIUM_STATE =3

static const tFlag	UNSTEADY_STATE =0

static const tReal	Mu0 =4M_PI1e-07

static const tReal	Gamma =-1.7e11

static const tDimension	X =0

static const tDimension	Y =1

static const tDimension	Z =2

static const tReal	NULL_VALUE [] ={0,0,0}

Protected Member Functions
	EMM_DisplacementFVM_STEGROperator (void)
	create More...

virtual	~EMM_DisplacementFVM_STEGROperator (void)
	destroy More...

virtual void	computeGradAlmostNullUAtFace (const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tUIndex &nextCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const CORE_UIndexMorseArray &neighborsIndices, const tLimitCondition lc, const tDimension &dim, const tReal Ui, tReal gradU[9]) const
	compute the gradient U at the center of the face f of a cell when U is almost null More...

virtual void	computeGradAlmostNullUAtCell (const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const CORE_UIndexMorseArray &neighborsIndices, const tDimension &dim, const tReal *Ui, tReal gradU[9]) const
	compute the value of Grad U on cell $\omega$ when U is almost null everywhere except at cell More...

virtual void	computeGradAlmostNullUAtNextCell (const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tUIndex &nextCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const CORE_UIndexMorseArray &neighborsIndices, const tDimension &dim, const tReal *Ui, tReal gradU[9]) const
	compute the value of Grad U on next cell when U is almost null everywhere except at cell. More...

virtual void	toDoAfterThisSetting ()
	to to after thios setting More...

virtual tBoolean	solveAcceleratorSystem (EMM_RealField &V)
	solve the velocity from the mass matrix : M.X=V V:=X More...

virtual void	spaceProjection (EMM_RealField &V) const
	make the projection of the vector B into the solving linear space More...

virtual void	spaceProjection (const EMM_RealField &V0, EMM_RealField &V) const
	make the projection of the vector B into the solving linear space More...

virtual void	spaceRelevant (EMM_RealField &V) const
	make the relevment of the vector B from the solving linear space. More...

virtual void	computeElasticTensor (const tUIndex &nData, const tDimension &dim, const tReal *U, EMM_2PackedSymmetricTensors &eTensor) const
	compute the elastic tensor for all cells More...

virtual void	computeElasticStress (const tBoolean &withConstraints, const tReal &beta, const tUIndex &nData, const tDimension &dim, const tReal U, tReal S) const
	compute the elastic stress $S_e(u) =\beta div \left (\tilde \lambda^e_{klrs} / \frac{\partial U_s}{\partial x_r}\right )$ More...

virtual void	computeMagneticStress (const tReal &alpha, const tReal &beta, const tUIndex &nCells, const tDimension &dim, const EMM_RealArray &sigma, const tReal M, const tUIndex &nData, tReal D) const
	compute the magnetic stress $S = \alpha . S + \beta . \displaystyle \frac{1}{\|\partial \omega\|} \int_{\partial \omega} \left (\sigma^2 . \tilde \lambda^2 : ( \lambda^m : m \otimes m ) \right ) \cdot N d\S$ to elastic stress S More...

virtual void	initializeEquilibriumSolver (const EMM_RealField &U0)
	initialize the equilibrium solver More...

void	setThis (SP::CORE_Object p)
	set this weak shared pointer called toDoAfterThis setting method More...

Static Protected Attributes
static const tUIndex	NEUMANN_FACE =CORE_Object::getMaxIndex()

static const tUIndex	DIRICHLET_FACE =CORE_Object::getMaxIndex()+1

Private Member Functions
	SP_OBJECT (EMM_DisplacementFVM_STEGROperator)

void	computeGradUAtFaceByTaylorExpansion (const tBoolean &withConstraints, const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tBoolean periodicity, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const CORE_UIndexMorseArray &neighbors, const tUIndex Ni, const tDimension &dim, const tReal Ucells, const tReal Ui, const tLimitCondition lc, const tBoolean &incU0, const tReal *U0, tReal gradU[9]) const
	compute the gradient U on face by using the Taylor Expansion of U More...

void	computeGradAlmostNullUAtFaceByTaylorExpansion (const tReal h, const tUInteger &xCell, const tUInteger &yCell, const tUInteger &zCell, const tUCInt &f, const tUIndex &nextCell, const tUInteger &Px, const tUInteger &Py, const tUInteger &Pz, const tBoolean periodicity, const CORE_UIndexMorseArray &neighbors, const tDimension &dim, const tReal *Ui, tReal gradU[9]) const
	compute the gradient U on face by using the Taylor Expansion of U More...

virtual tString	toString () const
	turn the class into string More...

Detailed Description

This class describes the displacement operator defined on the cells of the mesh with Surface Gradient Reconstruction.

The elasticity equation consists in solving :

$\displaystyle \frac{\partial^2 u}{\partial t^2} - div( \tilde \lambda^e:\epsilon(u))=-div(\sigma^2(x) \tilde \lambda^e:(\tilde \lambda^m:m \otimes m) )$

It solves the displacement equation by finite volume method where $ U=U^0 $ on dirichlet points and $(\tilde \lambda^e : \varepsilon(u) ) .N =C$ on Neuman points

The implementation of the integration of the gradient of displacement over the surface is computed by using a Taylor Expansion see EMM_DisplacementFVM_STEGROperator::computeGradUAtFaceByTaylorExpansion()

The implementation of the integration of the gradient of displacement over the cell is computed by using a Taylor Expansion with interpolation of dispacement over Neumann Boundaries see EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation()

The gradient of the displacement is decomposed by its normal and tangential components :

the normal gradient of the displacement within a surface is given by a taylor expansion where
- the normal of the face is along the canonical direction and with orientation $\epsilon_n$
- is the s-coordinate of the displacement of next cell i in the direction $\epsilon_n e_n$
- is the s-coordinate of the displacement of the cell i, and
- $\eta_n h^n$ is the distance betwen both cellsi and n. If ghost cells is enabled we have $\eta_n=1$ for Dirichlet faces.
The tangential gradient in the direction r normal to n of the displacement $\nabla_r U$ within a surface is $\nabla_r U^s = \displaystyle \frac{U(C+h^r/2)-U(C-h^r/2)}{h^r}$ where C is the center of the face.

It needs the interpolation of U over the edge of the face whcih is the mean of the value of U over the 4 cells containing the edge.

$U(N)= \displaystyle \frac{1}{card(\Omega_N)} \sum_{\omega \in \Omega_N } U(\omega)$ where $\Omega_N=\{ \omega | N \in \omega \}$ .

so $\displaystyle \frac{1}{|\omega|} \int_{\omega} 1 \cdot div(\lambda^e:\epsilon(u)) d\omega = \displaystyle \frac{1}{h^n} \left (\lambda^e:\nabla u \right ) \cdot \epsilon_n e_n$ .

Note that this implementation is similarly to the EMM_DisplacementFVM_SSGROperator except from the interpolation of U :

EMM_DisplacementFVM_STEGROperator considers only the cells connected to the edge
EMM_DisplacementFVM_SSGROperator considers all the cells connected to the vertices of the edges

Normaly the results is supposed to be similar and EMM_DisplacementFVM_STEGROperator is more efficient.

Author: Stephane Despreaux

Version: .0

Constructor & Destructor Documentation

◆ EMM_DisplacementFVM_STEGROperator()

EMM_DisplacementFVM_STEGROperator::EMM_DisplacementFVM_STEGROperator ( void )

protected

create

◆ ~EMM_DisplacementFVM_STEGROperator()

EMM_DisplacementFVM_STEGROperator::~EMM_DisplacementFVM_STEGROperator ( void )

protectedvirtual

destroy

Member Function Documentation

◆ adimensionize()

virtual void EMM_DisplacementOperator::adimensionize	(	const tReal &	Le,
		const tReal &	Ms,
		const tReal &	T,
		const tReal &	L
	)

inlinevirtualinherited

adimensionize the operator

Parameters

[in]	Le	common elasticity adimensionized parameter
[in]	Ms	common magnetization at saturation
[in]	T	caracterictic time
[in]	L	caracteristic length

adimensionize the associated displacement operator

Reimplemented from EMM_Operator.

◆ backup()

tBoolean EMM_DisplacementFVMOperator::backup	(	const tString &	prefix,
		const tString &	suffix,
		const tString &	ext
	)		const

virtualinherited

backup of the operator data into file(s) used for restoring

Parameters

prefix	: common prefix of the saving files
suffix	: common suffix of the saving files
ext	: common extension of the saving files

Returns: true if the saving of the U & V file have succeeded

It calls EMM_DisplacementOperator::backup() method
It saves the U at the dirichlet boundary

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementOperator::backup(), EMM_DisplacementFVMOperator::mU0, CORE_Object::out(), CORE_Out::println(), tBoolean, and tString.

Referenced by EMM_DisplacementFVMOperator::isGhostCellOn().

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◆ buildDataOnBoundaryFaces()

virtual void EMM_DisplacementFVMOperator::buildDataOnBoundaryFaces	(	const EMM_Grid3D &	mesh,
		const EMM_LimitConditionArray &	limitConditionOnPoints,
		const EMM_RealField &	U0,
		EMM_RealField &	DnU0
	)

inlinevirtualinherited

build the data on boundary faces Dirichlet and Neumann

Parameters

mesh	the mesh of the domain
limitConditionOnPoints	: limit condition on points
U0	: U at all points
DnU0	: grad UO . N at each point (applied forces)

builds the data on dirichlet boundary into U0
builds the data on Neumann boundary into DnU0
updates the boundary neighbor index for each element

Implements EMM_DisplacementOperator.

References EMM_DisplacementFVMOperator::buildDataOnDirichletBoundaryFaces(), EMM_DisplacementFVMOperator::buildDataOnNeumannBoundaryFaces(), and EMM_DisplacementFVMOperator::setBoundaryFaceTypes().

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◆ cellMean()

tBoolean EMM_DisplacementFVM_Interpolator::cellMean	(	const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tBoolean *	isPeriodic,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tDimension &	dim,
		const tLimitCondition *	lc,
		const tBoolean &	incU,
		const tReal *	Upoints,
		tReal *	Um
	)

staticinherited

compute the mean value of U defined on points at cell (xCell,yCell,zCell)

Parameters

[in]	xCell	x-index of the cell in [0,Nx[ to compute the mean of U
[in]	yCell	y-index of the cell in [0,Ny[ to compute the mean of U
[in]	zCell	z-index of the cell in [0,Nz[ to compute the mean of U
[in]	isPeriodic	: periodicity of the domain
[in]	Px	: number of points in x-direction
[in]	Py	: number of points in y-direction
[in]	Pz	: number of points in z-direction
[in]	dim	: dimension of each point of U
[in]	lc	: limit condition on points
[in]	incU	: size of incement of U (0: if constant)
[in]	Upoints	values of U at all points
[out]	Um	mean of U on cell

Returns: false if U is null

commpute the mean of U over the cell at segment indices xcell,yCell,zCell into Um

$U_m = \frac{1}{8} \sum_{i=0}^{i=7} U[iP]$ with iP is the point of the cell

References EMM_Grid3D::ELEMENT_POINTS, EMM_Grid3D::GET_MASTER_PERIODIC_POINT(), EMM_Grid3D::getPeriodicIndicator(), null, EMM_Grid3D::POINTS_NUMBER_PER_ELEMENT, EMM_Grid3D::SLAVE_LIMIT_CONDITION, tBoolean, tDimension, tReal, tUCInt, tUIndex, and tUInteger.

Referenced by EMM_DisplacementFVM_Interpolator::interpolateAlmostNullUAtFace().

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◆ computeCineticEnergy()

tReal EMM_DisplacementFVMOperator::computeCineticEnergy ( const EMM_RealField & V ) const

virtualinherited

compute the energy of the magnetostriction operator at current displacement and velocity

Parameters

V velocity

Returns: cinetic energy value $\int_\omega |\frac{\partial u}{\partial t}|(t) ^2 d\omega$

Implements EMM_DisplacementOperator.

References CORE_MorseArray< T >::begin(), EMM_DisplacementOperator::getAdimensionizedVolumicMass(), EMM_RealField::getDimension(), EMM_Operator::getElementVolume(), CORE_Array< T >::getSize(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_RealField::getValues(), EMM_DisplacementFVMOperator::mNeighborsIndices, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT_REDUCTION, CORE_MorseArrayConstIterator< T >::size(), tBoolean, tDimension, tReal, tUIndex, and tUInteger.

Referenced by EMM_DisplacementFVMOperator::computeElasticTensor().

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◆ computeCineticEnergyAtTime()

tReal EMM_DisplacementOperator::computeCineticEnergyAtTime ( const tReal & t ) const

inlineinherited

compute the energy due to velocity

Parameters

t	time in [0,dt[ where dt is the time step

Returns: cinetic energy value $\int_\omega |\frac{\partial u}{\partial t}|(t) ^2 d\omega$

References EMM_DisplacementOperator::computeCineticEnergy(), EMM_DisplacementOperator::getVelocity(), and tReal.

Referenced by EMM_DisplacementOperator::computeEnergy().

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◆ computeElasticStress() [1/3]

void EMM_DisplacementFVMOperator::computeElasticStress	(	const tBoolean &	withConstraints,
		const tReal &	beta,
		const tUIndex &	nData,
		const tDimension &	dim,
		const tReal *	U,
		tReal *	S
	)		const

protectedvirtualinherited

compute the elastic stress $S_e(u) =\beta div \left (\tilde \lambda^e_{klrs} / \frac{\partial U_s}{\partial x_r}\right )$

Parameters

withConstraints	: false if constraints on neumann boundary are ignored
beta	multiplicator factor
nData	number of data for U / S (nCells or nVertices depending on the method)
dim	dimension of the problem in [1,3]
U	the displacement field values of size nData x dim
S	the elastics stress of size nData x dim

On a cell w, we have

$S_e(u) =\beta \int_\omega div \left (\tilde \lambda^e_{klrs} / \frac{\partial U_s}{\partial x_r}\right ) d\omega$

$S_e(u) =\beta \int_{\partial \omega} \left (\tilde \lambda^e_{klrs} / \frac{\partial U_s}{\partial x_r}\right ).N d\sigma$

So, is only needs to compute the gradient U at all faces of the cell.

Implements EMM_DisplacementOperator.

References CORE_MorseArray< T >::begin(), EMM_DisplacementFVMOperator::computeGradUAtFace(), EMM_DisplacementFVM_Interpolator::faceMean(), EMM_DisplacementOperator::getAdimensionizedSegmentsSize(), EMM_DisplacementOperator::getConstraintFaces(), EMM_DisplacementOperator::getConstraints(), EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary(), EMM_4Tensors::getIndex(), EMM_DisplacementOperator::getLambdaE(), EMM_DisplacementOperator::getLimitConditionOnPoints(), EMM_DisplacementFVMOperator::getNeighborsIndices(), EMM_DisplacementFVMOperator::getSegmentsNumber(), EMM_4Tensors::getTensorSize(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_Tensors::getValues(), EMM_RealField::getValues(), iand, EMM_DisplacementFVMOperator::isDirectionPeriodic(), EMM_DisplacementFVM_Interpolator::NEUMANN_FACE, null, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, CORE_MorseArrayConstIterator< T >::size(), tBoolean, tCInt, tDimension, tFlag, tLimitCondition, tReal, tUCInt, tUIndex, tUInteger, EMM_Grid3D::UNMAGNETIZED_ELEMENT, and CORE_MorseArrayConstIterator< T >::values().

Referenced by EMMG_DisplacementFVM_SSGROperator::computeElasticStress(), EMMG_DisplacementFVM_STEGROperator::computeElasticStress(), EMMG_DisplacementFVM_VTEGROperator::computeElasticStress(), EMMG_DisplacementFVM_VOGGROperator::computeElasticStress(), EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), and EMM_DisplacementFVMOperator::computeElasticTensor().

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◆ computeElasticStress() [2/3]

virtual void EMM_DisplacementOperator::computeElasticStress	(	const EMM_RealField &	U,
		EMM_RealField &	S
	)		const

inlinevirtualinherited

compute the elastic stress for all cells $div(\lambda^e:\epsilon(U))$

Parameters

U	the displacement field
S	the elastic stress field

It computes:

$\forall (i,k) \in [0,N[\times[0,d[, S^i_k= \displaystyle div(\lambda^e:\varepsilon(u^i))_k = \displaystyle \sum_{l=0}^{d-1} \frac{\partial \left( \displaystyle \sum_{r,s=0}^{r,s=d-1} \lambda^e_{klrs} \frac{\partial u^i_s}{\partial x_r} \right )}{\partial x_l}$ where

is the s-coordinate of the displacement u at cell i when s is in [0,d[ and d is the dimension of the space (i.e. 3).
is the r-coordinate of points in cell

Reimplemented in EMMG_DisplacementFVM_VOGGROperator, EMMG_DisplacementFVM_SSGROperator, EMMG_DisplacementFVM_STEGROperator, EMMG_DisplacementFVM_VTEGROperator, and EMMG_DisplacementFEMOperator.

References EMM_RealField::getDimension(), EMM_RealField::getValues(), tDimension, tReal, and tUIndex.

Referenced by EMM_DisplacementOperator::computeElasticStress(), EMM_DisplacementOperator::computeElasticStressMatrixProduct(), EMM_DisplacementOperator::computeStress(), and EMM_DisplacementOperator::initializeEquilibriumSolver().

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◆ computeElasticStress() [3/3]

void EMM_DisplacementOperator::computeElasticStress	(	const tUIndex &	nData,
		const tDimension &	dim,
		const tReal *	U,
		tReal *	D
	)		const

inlineinherited

compute the elastic stress $S_e(u) =div \left (\tilde \lambda^e : \varepsilon(u) \right )$

Parameters

nData	number of data for U (nCells or nVertices depending on the method)
dim	dimension of the problem in [1,3]
U	the displacement field values
D	the elastic stress of size nData*dim

It computes $S^i_e(u) = - \displaystyle \int_\Omega \left (\tilde \lambda^e : \varepsilon(u) \right ) : \nabla \phi^i d\Omega$

$\forall d \in [0,3[, \forall q \in [0,P[, B[3q+d]= \displaystyle - \sum_{c \in V(P_q)} \int_{\omega_c} \sum_{p=0}^{p=8} \sum_{lrs} \left ( \lambda^c_{dlrs} u_{i_P}^s(t)\frac{\partial \Phi_p }{\partial x_r } \frac{\partial \Phi_q }{\partial x_l} \right ) d\omega$

where $i_P $ is the index of the p-th point into cell $\omega_c$ , P is the number of interior magnetized points and $ V(P_q) $ is the set of cells connected to point q.

Algorithm:

D=0, initialize to 0
pts={[0,0,0],[1,0,0],[0,1,0],[1,1,0],[0,0,1],[1,0,1],[0,1,1],[1,1,1]} local coordinates of cell points.
- - index of the cell c
  - if iCell is in magnetized domain
    - $\lambda^e=getLambda^e(iCell)$ of size 3x3x3x3
    - loop on nodes of cell iCell of local coordinate .
      - iP is the global index of local point p
      - iP=(i+Px)+Nx*(j+Py)+Nx.Ny.(k+Pz)
      - $\forall (d,l,r,s)\in R^4, D_{i_Q,d}-=\lambda^e_{klrs}.D_{pqrl}.U^{i_P}_s$ with
        
        $D_{pqrr}=\frac{h_0.h_1.h_2}{h^2_r} . \frac{1}{36}. (-1)^{p_r+q_r} . \prod_{k=0}^{k=2} (|p_k+q_k-1|+1)$
        
        $D_{pqrl}=\frac{h_0.h_1.h_2}{h_r.h_l}.\frac{1}{24}. (-1)^{p_r+q_l} . (|p_k+q_k-1|+1) k \neq l, k \neq r$

References EMM_DisplacementOperator::computeElasticStress(), tBoolean, tDimension, tReal, and tUIndex.

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◆ computeElasticStressMatrixProduct()

virtual void EMM_DisplacementOperator::computeElasticStressMatrixProduct	(	const tUIndex &	nData,
		const tDimension &	dim,
		const tReal *	U,
		tReal *	D
	)		const

inlinevirtualinherited

compute the elastic stress Matrix product $A.U = - div \left (\tilde \lambda^e : \varepsilon(u) \right )$

Parameters

nData	number of data for U (nCells or nVertices depending on the method)
dim	dimension of the problem in [1,3]
U	the displacement field values
D	the elastic stress of size nData*dim

make the computation of A.U=-S_e.U for the elastic equilibrium matrix product with null constraints

Reimplemented in EMM_DisplacementFVM_VIGROperator.

References EMM_DisplacementOperator::computeElasticStress(), EMM_DisplacementOperator::computeElasticTensor(), tDimension, tReal, and tUIndex.

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◆ computeElasticTensor() [1/2]

virtual void EMM_DisplacementFVMOperator::computeElasticTensor	(	const EMM_RealField &	U,
		EMM_2PackedSymmetricTensors &	eTensor
	)

inlinevirtualinherited

compute the elastic tensor for all cells

Parameters

U	the displacement field
eTensor	the elastic tensor of size 3x3 stored in row-packed symmetric upper matrix array of size 6

$\forall (r,s) \in [0,3[^2, \varepsilon_{rs}= \displaystyle \frac{1}{2}\left ( \frac{\partial u_r}{\partial x_s} + \frac{\partial u_s}{\partial x_r} \right )=eTensor[r+(s*(s+1)/2)]$ where

is the r-coordinate of the displacement u
is the s-coordinate of point in cell

Reimplemented from EMM_DisplacementOperator.

Reimplemented in EMM_DisplacementFVM_VIGROperator.

References EMM_DisplacementFVMOperator::computeCineticEnergy(), EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementOperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeMagneticStress(), EMM_DisplacementFVMOperator::computePotentialEnergy(), tBoolean, tDimension, tReal, and tUIndex.

Referenced by EMM_DisplacementFVM_VIGROperator::computeElasticTensor().

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◆ computeElasticTensor() [2/2]

void EMM_DisplacementFVMOperator::computeElasticTensor	(	const tUIndex &	nData,
		const tDimension &	dim,
		const tReal *	U,
		EMM_2PackedSymmetricTensors &	eTensor
	)		const

protectedvirtualinherited

compute the elastic tensor for all cells

Parameters

nData	size of the displacement field
dim	dimension of the displacement field
U	values of the displacement field of size nData x dim
eTensor	the elastic tensor of size 3x3 stored in column-packed symmetric upper matrix array of size 6

$\forall (r,s) \in [0,3[^2, \varepsilon_{rs}= \displaystyle \frac{1}{2}\left ( \frac{\partial u_r}{\partial x_s} + \frac{\partial u_s}{\partial x_r} \right )=eTensor[r+(s*(s+1)/2)]$ where

is the r-coordinate of the displacement u
is the s-coordinate of point in cell

It needs to compute the gradient of U at the center of the cell

Implements EMM_DisplacementOperator.

References CORE_MorseArray< T >::begin(), EMM_DisplacementFVMOperator::computeGradUAtCell(), CORE_MorseArray< T >::fitToSize(), EMM_DisplacementOperator::getAdimensionizedSegmentsSize(), EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary(), CORE_MorseArray< T >::getIndicesByReference(), EMM_DisplacementOperator::getLimitConditionOnPoints(), EMM_DisplacementFVMOperator::getNeighborsIndices(), EMM_DisplacementFVMOperator::getSegmentsNumber(), EMM_2PackedSymmetricTensors::getTensorSize(), EMM_Tensors::getTensorsNumber(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_Tensors::getValues(), EMM_DisplacementFVMOperator::isDirectionPeriodic(), null, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, CORE_MorseArray< T >::setIndicesByReference(), EMM_Tensors::setTensorsNumber(), CORE_MorseArrayIterator< T >::size(), tBoolean, tDimension, tLimitCondition, tReal, tUCInt, tUIndex, tUInteger, CORE_MorseArrayIterator< T >::values(), and CORE_MorseArrayConstIterator< T >::values().

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◆ computeEnergy()

tReal EMM_DisplacementOperator::computeEnergy	(	const tReal &	t,
		const tUIndex &	nCells,
		const tDimension &	dim,
		const EMM_RealArray &	sigma,
		const tReal *	M
	)		const

inherited

compute the energy of the magnetostriction operator at current displacement and velocity

Parameters

t	the time in [0,dt[ where dt is the time step
nCells	: number of cells
dim	dimension of each point of mesh
sigma	the weight of each cell
M	the magnetization field values

Returns: energy value : $E(m,u)=\displaystyle \frac{1}{2} \int_\omega \sigma^4(x)[\tilde \lambda^e:(\tilde \lambda^m:m \otimes m)]:(\tilde \lambda^m:m \otimes m) d\omega$ $\displaystyle -\int_\omega \sigma^2(x) \epsilon(u):(\tilde \lambda^e:(\tilde \lambda^m:m \otimes m)) d\omega$ $\displaystyle +\frac{1}{2} \int_\omega (\tilde \lambda^e:\epsilon(u)):\epsilon(u) d\omega$ $\displaystyle +\frac{1}{2} \int_\omega |\frac{\partial u}{\partial t}|^2d\omega$

References EMM_DisplacementOperator::computeCineticEnergyAtTime(), EMM_DisplacementOperator::computePotentialEnergyAtTime(), EMM_DisplacementOperator::computeStressConstraintEnergy(), EMM_DisplacementOperator::getConstraints(), EMM_DisplacementOperator::getElasticTensor(), EMM_Operator::getElementVolume(), CORE_Array< T >::getSize(), CORE_Object::getThread(), EMM_DisplacementOperator::isEquilibriumState(), EMM_DisplacementOperator::mLme, CORE_Thread::startChrono(), tBoolean, tReal, and tString.

Referenced by EMM_MagnetostrictionOperator::computeEnergy(), and EMM_DisplacementOperator::computeMagneticStress().

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◆ computeEpsilon()

template<class T >

static T CORE_Object::computeEpsilon ( )

inlinestaticinherited

compute epsilon

Returns: the epsilon value eps=10^{-p/3} where p is defined by getEpsilon()=10^{-p}

◆ computeEquilibriumMatrixDiagonalConditioner()

void EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner ( MATH_Vector & D ) const

virtualinherited

compute the diagonal conditioner

Parameters

[out] D is the diagonal conditioner of the equilibrium matrix by defualt the diagonal matrix is the identity (its size if set to 0);

Reimplemented from EMM_DisplacementOperator.

Referenced by EMM_DisplacementFVMOperator::spaceRelevant().

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◆ computeEquilibriumState()

tBoolean EMM_DisplacementOperator::computeEquilibriumState	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		const EMM_RealField &	U0,
		EMM_RealField &	U
	)

inherited

compute the equilibirum state $div(\lambda^e:epsilon(U))=div(\lambda^e:\lambda^m:M \otimes M)$

Parameters

[in]	sigma	: the weight array due to unhomegeneous magnetization at saturation
[in]	M	: the magnetization field
[in]	U0	: the displacement field at dirichlet point
[out]	U	the dispacement field at equilibrium

Returns

true if the solving succeeds

compute the right hand side of the equation
make a projection of W into f the solving space (W=U0 on Dirichlet point) in order to ensure that U=U_0 on Dirichlet boundary
solve the linear equation with a conjugate gradient method S_e is diagonla for derichlet point
make a relevant of the solution (Us=Um for slave/master points)

References EMM_DisplacementOperator::computeMagneticStress(), EMM_RealField::copy(), EMM_DisplacementOperator::getAccelerator(), EMM_DisplacementOperator::getSolver(), EMM_DisplacementOperator::mEquilibriumMatrix, EMM_DisplacementOperator::mUt, MATH_Solver::setMaximumIterationsNumber(), EMM_DisplacementOperator::spaceProjection(), EMM_DisplacementOperator::spaceRelevant(), and tBoolean.

Referenced by EMM_DisplacementOperator::computeEquilibriumMatrixDiagonalConditioner(), and EMM_DisplacementOperator::updateAtNextTimeStep().

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◆ computeFieldsAtTime()

tBoolean EMM_DisplacementOperator::computeFieldsAtTime	(	const tReal &	t,
		const tFlag &	order,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	dM_dt0,
		const EMM_RealField &	M0
	)

virtualinherited

compute the fields of operator at time

Parameters

t	the time
order	order of integration of the fields
sigma	the magnetized weight of each cell
dM_dt0	the variation of M at time 0
M0	the magnetization field at each point at time t 0

Returns: true if the computation has succeeded.

compute fields at time from M and its first time derivative

Implements EMM_Operator.

Referenced by EMM_DisplacementOperator::setCFL().

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◆ computeGradAlmostNullUAtCell()

virtual void EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCell	(	const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tDimension &	dim,
		const tReal *	Ui,
		tReal	gradU[9]
	)		const

inlineprotectedvirtualinherited

compute the value of Grad U on cell $\omega$ when U is almost null everywhere except at cell

Parameters

[in]	h	: size of cell in each direction
[in]	xCell	index of the segment in the x-direction
[in]	yCell	index of the segment in the y-direction
[in]	zCell	index of the segment in the z-direction
[in]	Px	: number of points in the x-direction
[in]	Py	: number of points in the y-direction
[in]	Pz	: number of points in the z-direction
[in]	periodicity	: periodicity of the mesh
[in]	neighborsIndices	: indices of the neigbor cells per cells
[in]	dim	: dimension of the field
[in]	Ui	: displacement field on the cell (xCell,yCell,zCell)
[out]	gradU	the gradiend of U for all coordinates in all directions $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

Computes the gradient of U at the center of the cell when U is null everywhere excecpt in cell

Implements EMM_DisplacementFVM_VGROperator.

References EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation().

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◆ computeGradAlmostNullUAtFace()

virtual void EMM_DisplacementFVM_STEGROperator::computeGradAlmostNullUAtFace	(	const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tUIndex &	nextCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tLimitCondition *	lc,
		const tDimension &	dim,
		const tReal *	Ui,
		tReal	gradU[9]
	)		const

inlineprotectedvirtual

compute the gradient U at the center of the face f of a cell when U is almost null

Parameters

[in]	h	: size of cell in each direction
[in]	xCell	: index of the segment in the x-direction
[in]	yCell	: index of the segment in the y-direction
[in]	zCell	: index of the segment in the z-direction
[in]	f	: index of the face
[in]	nextCell	:neighbor cell index of the current cell with the face f
[in]	Px	: number of points in the x-direction
[in]	Py	: number of points in the y-direction
[in]	Pz	: number of points in the y-direction
[in]	periodicity	: periodicty of the mesh in each direction
[in]	neighborsIndices	:neighbors indices of all the cell
[in]	lc	: limit condition on points
[in]	dim	: dimension of the field
[in]	Ui	: displacement field on the cell
[out]	gradU	: the gradient of U for all coordiantes in all direction $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

It computes the value of gradient at cell when U is almost null everywhere except in the cell (xCell,yCell,zCell)

It is used for preconditionning the equilibrium matrix

Reimplemented from EMM_DisplacementFVM_VGROperator.

References computeGradAlmostNullUAtFaceByTaylorExpansion(), computeGradUAtFaceByTaylorExpansion(), tBoolean, tDimension, tLimitCondition, tReal, tUCInt, tUIndex, and tUInteger.

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◆ computeGradAlmostNullUAtFaceByTaylorExpansion()

void EMM_DisplacementFVM_STEGROperator::computeGradAlmostNullUAtFaceByTaylorExpansion	(	const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tUIndex &	nextCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighbors,
		const tDimension &	dim,
		const tReal *	Ui,
		tReal	gradU[9]
	)		const

private

compute the gradient U on face by using the Taylor Expansion of U

Parameters

h	: size of cell in each direction
xCell	: index of the segment in the x-direction
yCell	: index of the segment in the y-direction
zCell	: index of the segment in the z-direction
f	: index of the face
nextCell	: neighbor of the curent cell
Px	: number of points in the x-direction
Py	: number of points in the y-direction
Pz	: number of points in the z-direction
periodicity	: periodicity of the domain
neighbors	neighbors of all the cells
dim	: dimension of the field
Ui	: displacement field on the current cell
gradU	: the gradiend of U for all coordiantes in all direction $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

For all face with normal $\epsilon_l . e_l$ ,

$\left (\nabla u^s \right )_l = \frac{U(\omega_n)-u(\omega)}{h_l}$ is $\omega_n$ is the neigbor cell of $\omega$ .

If there is no neighbor that means that the face f is a boundary face. so that

$U(\omega_n) = \frac{1}{4} \sum_{N \in \gamma_f} u(N)$ with $U(N) = \frac{1}{|W_N|} \sum_{\omega \in W_N} U(\omega)$ where $W_n=\{ \omega | N \in \omega \}$ .

For the tangential derivative in the direction r:

$\left (\nabla u^s \right )_r = \frac{U(E_{r^{+}})-U(E_{r^{-}})}{h_r}$ where $U(E_{r^{+}}$ is the mean of U on the edge in the face in the direction $ epsilon_l e_l $ and $ e_r $ .

References EMM_DisplacementFVM_Interpolator::computeNeighborCellsNumber(), EMM_DisplacementFVM_Interpolator::DIRICHLET_FACE, EMM_Grid3D::EDGE_POINTS, EMM_Grid3D::ELEMENT_POINTS, EMM_DisplacementFVMOperator::isGhostCellOn(), tBoolean, tCInt, tReal, tUCInt, and EMM_Grid3D::UNMAGNETIZED_ELEMENT.

Referenced by computeGradAlmostNullUAtFace().

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◆ computeGradAlmostNullUAtNextCell()

virtual void EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtNextCell	(	const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tUIndex &	nextCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tDimension &	dim,
		const tReal *	Ui,
		tReal	gradU[9]
	)		const

inlineprotectedvirtualinherited

compute the value of Grad U on next cell when U is almost null everywhere except at cell.

Parameters

[in]	h	: size of cell in each direction
[in]	xCell	index of the segment in the x-direction
[in]	yCell	index of the segment in the y-direction
[in]	zCell	index of the segment in the z-direction
[in]	f	interface to find the next cell
[in]	nextCell	index of the next cell
[in]	Py	: number of points in the y-direction
[in]	Px	: number of points in the x-direction
[in]	Pz	: number of points in the z-direction
[in]	periodicity	: periodicity of the mesh
[in]	neighborsIndices	: indices of the neigbor cells per cells
[in]	dim	: dimension of the field
[in]	Ui	: displacement field on the cell (xCell,yCell,zCell)
[out]	gradU	the gradiend of U for all coordinates in all directions $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

Computes the gradient of U at the center of the cell when U is null everywhere excecpt in cell

Implements EMM_DisplacementFVM_VGROperator.

References EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtNextCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation(), tBoolean, tDimension, tLimitCondition, tReal, tUIndex, tUInteger, and tUSInt.

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◆ computeGradUAtCell()

virtual void EMM_DisplacementFVM_VTEGROperator::computeGradUAtCell	(	const tBoolean &	withConstraints,
		const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const tUIndex *	neighbors,
		const tDimension &	dim,
		const tReal *	Ucells,
		const tReal *	Ui,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		tReal	gradU[9]
	)		const

inlinevirtualinherited

compute the value of Grad U on cell $\omega$

Parameters

[in]	withConstraints	: true tu use the Dirichlet & Neumann constraints
[in]	h	: size of cell in each direction
[in]	xCell	index of the segment in the x-direction
[in]	yCell	index of the segment in the y-direction
[in]	zCell	index of the segment in the z-direction
[in]	Px	: number of points in the x-direction
[in]	Py	: number of points in the y-direction
[in]	Pz	: number of points in the z-direction
[in]	periodicity	: periodicity of the mesh
[in]	neighbors	: indices of the neigbor cells of the current cell
[in]	dim	: dimension of the field
[in]	Ucells	: displacement field value on all cells
[in]	Ui	: displacement field on the cell (xCell,yCell,zCell)
[in]	lc	: limit condition on points
[in]	incU0	increment of U0 for fixed displacement on Dirichlet boundary
[in]	U0	: displacement values on Dirichlet boundary
[out]	gradU	the gradiend of U for all coordinates in all directions $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

compute grad U at cell by the Taylon extension approximation

For all boundaries of the cell $\partial \omega_f | \cup_f \partial \omega_f = \partial \omega$ , with exterior normal $\epsilon_f . e_f$ where $ e_f $ is one of the canonical directions and $\epsilon_f \in \{-1,1\}$ is the orientation of the normal with respect of the canonical direction , the gradient of the s-coordinate of U within the face is :

if the face is an interior face, $\nabla^{\epsilon_f} U^s[e_f] = \displaystyle \frac{\partial U}{\partial x_f} = \displaystyle \epsilon_f.{U^s_n - U^s}{h_f \eta_f }$ , is the displacement U at the the center of the neighbor cell , and is the size of the cell in the direction .
if the face is a Dirichlet face, $\nabla^{\epsilon_f} U^s[e_f] = \displaystyle \frac{\partial U}{\partial x_f} = \displaystyle \epsilon_f.{U^s_n - U^s}{\eta_f h_f }$ , $\eta_f = \frac{1}{2}$ , $U_n = \displaystyle \frac{1}{|v|} \sum_{v \in \partial \omega_f} U(v)$ is the displacement U at the dirichlet boundary face.
if the face is a Neumann face, $\nabla^{epsilon_f} U^s[e_f]$ verify $\lambda^e_{kftd}.\epsilon_f.\nabla U^d[e_t] = C_k$ where is the constraints on the boundary face in the direction , $\nabla U^d[e_t]$ on the Neumann surface is supposed to be $\nabla U^d[e_t]$ on the center of the cell and $\eta_f=\frac{1}{2}$

The gradient of U $\nabla U^s [e_k]$ at the center of the cell in the k-direction is the barycenter of $\nabla^+ U^s [e_k]$ and $\nabla^- U^s [e_k]$ in order to have an interpolation of 2 order:

$\nabla U^s [e_k] = \frac{\eta_{2k}}{\eta_{2k}+\eta_{2k+1}} \nabla^+ U^s [e_k] + \frac{\eta_{2k+1}}{eta_{2k}+\eta_{2k+1}} \nabla^- U^s [e_k]$

This methods is quite expensive because it needs solving a system of size 3x6 equations.

Implements EMM_DisplacementFVMOperator.

References EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation().

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◆ computeGradUAtFace()

virtual void EMM_DisplacementFVM_STEGROperator::computeGradUAtFace	(	const tBoolean &	withConstraints,
		const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tUIndex &	nextCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tDimension &	dim,
		const tReal *	Ucells,
		const tReal *	Ui,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		tReal	gradU[9]
	)		const

inlinevirtual

compute the gradient U at the center of the face f of a cell. f is either an interior face or a Dirichlet face

Parameters

[in]	withConstraints	true if constraints is applied in the diriclhlet boundary
[in]	h	: size of cell in each direction
[in]	xCell	: index of the segment in the x-direction
[in]	yCell	: index of the segment in the y-direction
[in]	zCell	: index of the segment in the z-direction
[in]	f	: index of the face
[in]	nextCell	: neighbor cells index
[in]	Px	: number of points in the x-direction
[in]	Py	: number of points in the y-direction
[in]	Pz	: number of points in the z-direction
[in]	periodicity	: periodicity of the mesh
[in]	neighborsIndices	: neighbor cells indices of all cell
[in]	dim	: dimension of the field
[in]	Ucells	: displacement field value on all cells
[in]	Ui	: displacement field on the cell
[in]	lc	: limit condition on points
[in]	incU0	increment of U0 for fixed displacement on Dirichlet boundary
[in]	U0	: displacement values on Dirichlet boundary
[out]	gradU	: the gradiend of U for all coordiantes in all direction $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

It computes the gradient of U at the face f which is either an interior face or a Dirichlet face

It is used for computing the elastic stress

For all face with normal $\epsilon_l . e_l$ ,

$\left (\nabla u^s \right )_l = \frac{U(\omega_n)-u(\omega)}{h_l}$ is $\omega_n$ is the neigbor cell of $\omega$ .

If there is no neighbor that means that the face f is a boundary face. so that

$U(\omega_n) = \frac{1}{4} \sum_{N \in \gamma_f} u(N)$ with $U(N) = \frac{1}{|W_N|} \sum_{\omega \in W_N} U(\omega)$ where $W_n=\{ \omega | N \in \omega \}$ .

For the tangential derivative in the direction r:

$\left (\nabla u^s \right )_r = \frac{U(E_{r^{+}})-U(E_{r^{-}})}{h_r}$ where $U(E_{r^{+}}$ is the mean of U on the edge in the face in the direction $ epsilon_l e_l $ and $ e_r $ .

Reimplemented from EMM_DisplacementFVM_VGROperator.

References computeGradUAtFaceByTaylorExpansion().

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◆ computeGradUAtFaceByTaylorExpansion()

void EMM_DisplacementFVM_STEGROperator::computeGradUAtFaceByTaylorExpansion	(	const tBoolean &	withConstraints,
		const tReal *	h,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tBoolean *	periodicity,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const CORE_UIndexMorseArray &	neighbors,
		const tUIndex *	Ni,
		const tDimension &	dim,
		const tReal *	Ucells,
		const tReal *	Ui,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		tReal	gradU[9]
	)		const

private

compute the gradient U on face by using the Taylor Expansion of U

Parameters

withConstraints	: true if constraints are applied on the dirichlet boundary
h	: size of cell in each direction
f	: index of the face
xCell	: index of the segment in the x-direction
yCell	: index of the segment in the y-direction
zCell	: index of the segment in the z-direction
periodicity	: periodicity of the domain
Px	: number of points in the x-direction
Py	: number of points in the y-direction
Pz	: number of points in the z-direction
neighbors	neighbors of all the cells
Ni	neighbors of the curent cell
dim	: dimension of the field
Ucells	: displacement field value on all cells
Ui	: displacement field on the current cell
lc	: limit condition on all points
incU0	increment of U0 for fixed displacement on Dirichlet boundary
U0	: displacement values on Dirichlet boundary
gradU	: the gradiend of U for all coordiantes in all direction $\frac{\partial U^s}{\partial x_k}=gradU[3*k+s]$

For all face with normal $\epsilon_l . e_l$ ,

$\left (\nabla u^s \right )_l = \frac{U(\omega_n)-u(\omega)}{h_l}$ is $\omega_n$ is the neigbor cell of $\omega$ .

If there is no neighbor that means that the face f is a boundary face. so that

$U(\omega_n) = \frac{1}{4} \sum_{N \in \gamma_f} u(N)$ with $U(N) = \frac{1}{|W_N|} \sum_{\omega \in W_N} U(\omega)$ where $W_n=\{ \omega | N \in \omega \}$ .

For the tangential derivative in the direction r:

$\left (\nabla u^s \right )_r = \frac{U(E_{r^{+}})-U(E_{r^{-}})}{h_r}$ where $U(E_{r^{+}}$ is the mean of U on the edge in the face in the direction $ epsilon_l e_l $ and $ e_r $ .

References EMM_DisplacementFVM_Interpolator::faceMean(), EMM_DisplacementFVM_Interpolator::interpolateUAtEdge(), EMM_DisplacementFVMOperator::isGhostCellOn(), null, EMM_Object::NULL_VALUE, tCInt, tReal, tUCInt, and EMM_Grid3D::UNMAGNETIZED_ELEMENT.

Referenced by computeGradAlmostNullUAtFace(), and computeGradUAtFace().

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◆ computeMagneticStress() [1/3]

void EMM_DisplacementFVMOperator::computeMagneticStress	(	const tReal &	alpha,
		const tReal &	beta,
		const tUIndex &	nCells,
		const tDimension &	dim,
		const EMM_RealArray &	sigma,
		const tReal *	M,
		const tUIndex &	nData,
		tReal *	D
	)		const

protectedvirtualinherited

compute the magnetic stress $S = \alpha . S + \beta . \displaystyle \frac{1}{|\partial \omega|} \int_{\partial \omega} \left (\sigma^2 . \tilde \lambda^2 : ( \lambda^m : m \otimes m ) \right ) \cdot N d\S$ to elastic stress S

Parameters

[in]	alpha	: multiplicator factor for S
[in]	beta	: multiplicator factor for magnetic stress
[in]	nCells	: the size of the magnetism value
[in]	dim	: dimension of the problem in [1,3]
[in]	sigma	: weight of each cell
[in]	M	: the magnetization field values of size nCells x dim
[in]	nData	: size of stress field values
[in,out]	D	: in input the elastic stress , in output the total stress of size nData x dim

For all cell i, the k-coordinate is $\left ( (\sigma_i^2.\lambda^i:M^i \times M^i ) \cdot N \right )_k = \displaystyle \sigma_i^2 . \lambda^i_{klrs}.M^i_r.M^i_s . N_l$ on the interface (null for neuman boundary : no magnetic constraint)

$\displaystyle \left ( \sigma_i^2 . \lambda^i_{klrs}.M^i_r.M^i_s \cdot N_l\right )_f = \frac{1}{2} \left ( \left ( \sigma_n^2 . \lambda^n_{klrs}.M^n_r.M^n_s \right ) + \left ( \sigma_i^2 . \lambda^i_{klrs}.M^i_r.M^i_s \right ) \epsilon_l e_l \right )$ where

l in the normal direction of the face in {0,1,2}
$\epsilon_l$ is the orientation of the normal of the face in {-1,1}
n is the index of the next cell. For Dirichlet boundray n=i. (dM/dN=0)
i is the current cell

Implements EMM_DisplacementOperator.

References CORE_MorseArray< T >::begin(), EMM_DisplacementOperator::getAdimensionizedSegmentsSize(), EMM_DisplacementOperator::getLambdaEDoubleDotLambdaM(), CORE_Array< T >::getSize(), EMM_4Tensors::getTensorSize(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_Tensors::getValues(), EMM_DisplacementFVMOperator::mNeighborsIndices, EMM_DisplacementFVM_Interpolator::NEUMANN_FACE, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, CORE_MorseArrayConstIterator< T >::size(), tBoolean, tCInt, tDimension, tReal, tUCInt, tUIndex, tUInteger, EMM_Grid3D::UNMAGNETIZED_ELEMENT, and CORE_MorseArrayConstIterator< T >::values().

Referenced by EMM_DisplacementFVMOperator::computeElasticTensor(), EMMG_DisplacementFVM_VTEGROperator::computeMagneticStress(), EMMG_DisplacementFVM_STEGROperator::computeMagneticStress(), EMMG_DisplacementFVM_SSGROperator::computeMagneticStress(), and EMMG_DisplacementFVM_VOGGROperator::computeMagneticStress().

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◆ computeMagneticStress() [2/3]

void EMM_DisplacementOperator::computeMagneticStress	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		EMM_RealField &	S
	)		const

inlineinherited

compute the magnetic stress for all cells $S=div(\lambda^e:\lambda^m:M\otimes M)$

Parameters

[in]	sigma	magnetized weight for each cell
[in]	M	the magnetization field
[out]	S	the magnetic stress dield

It computes:

$\forall (i,k) \in [0,N[\times[0,d[, S^i_k= \displaystyle div(\lambda^e:(\lambda^m:m \times m)_k = \displaystyle \sum_{l=0}^{d-1} \frac{\partial \left( \displaystyle \sum_{r,s,i,j=0}^{r,s,i,j=d-1} \lambda^e_{klij} . \lambda^m_{ijrs} m^i_r . m^i_s \right )}{\partial x_l}$ where

is the s-coordinate of the magnetization field M at cell i when s is in [0,d[ and d is the dimension of the space (i.e. 3).
is the r-coordinate of center of cell

References EMM_DisplacementOperator::computeEnergy(), EMM_RealField::setDimension(), EMM_RealField::setSize(), tDimension, tReal, and tUIndex.

Referenced by EMM_DisplacementOperator::computeEquilibriumState(), and EMM_DisplacementOperator::computeStress().

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◆ computeMagneticStress() [3/3]

virtual void EMM_DisplacementOperator::computeMagneticStress	(	const tReal &	alpha,
		const tReal &	beta,
		const EMM_RealArray &	sigma,
		const EMM_RealField &	M,
		EMM_RealField &	S
	)		const

pure virtualinherited

compute the magnetic stress for all cells from the stress $S=alpha*S+beta*div(\lambda^e:\lambda^m:M\otimes M)$

Parameters

[in]	alpha	: multiplicator factor for S
[in]	beta	: multiplicator factor for magnetic stress
[in]	sigma	the magnetized weight of cells
[in]	M	the magnetization field
[in,out]	S	the total stress field

It computes:

$\forall (i,k) \in [0,N[\times[0,d[, S^i_k= \alpha S^i_k +\displaystyle \beta. div(\lambda^e:(\lambda^m:m \times m)_k = \alpha S^i_k + \displaystyle \beta . \sum_{l=0}^{d-1} \frac{\partial \left( \displaystyle \sum_{r,s,i,j=0}^{r,s,i,j=d-1} \lambda^e_{klij} . \lambda^m_{ijrs} m^i_r . m^i_s \right )}{\partial x_l}$ where

is the s-coordinate of the magnetization field M at cell i when s is in [0,d[ and d is the dimension of the space (i.e. 3).
is the r-coordinate of center of cell

Implemented in EMMG_DisplacementFVM_VOGGROperator, EMMG_DisplacementFVM_SSGROperator, EMMG_DisplacementFVM_STEGROperator, EMMG_DisplacementFVM_VTEGROperator, and EMMG_DisplacementFEMOperator.

◆ computeNeighborCellsNumber()

tUSInt EMM_DisplacementFVM_Interpolator::computeNeighborCellsNumber	(	const tUInteger &	iP,
		const tUInteger &	jP,
		const tUInteger &	kP,
		const tUInteger &	Nx,
		const tUInteger &	Ny,
		const tUInteger &	Nz,
		const tBoolean *	periodicity,
		const CORE_UIndexMorseArray &	neighbors
	)

staticinherited

compute the number of cells connected to vertex

References EMM_Grid3D::ELEMENT_POINTS, CORE_MorseArray< T >::getSize(), EMM_Grid3D::POINTS_NUMBER_PER_ELEMENT, tBoolean, tInteger, tUInt, and tUSInt.

Referenced by computeGradAlmostNullUAtFaceByTaylorExpansion().

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◆ computePotentialEnergy()

tReal EMM_DisplacementFVMOperator::computePotentialEnergy ( const EMM_RealField & U ) const

virtualinherited

compute the potential energy to the space variation of the displacement

Parameters

U	displacement field

Returns: potential energy value $\int_\omega (\lambda^e:\varepsilon(u)):\varepsilon(u) d\omega$

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementOperator::computePotentialEnergy().

Referenced by EMM_DisplacementFVMOperator::computeElasticTensor().

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◆ computePotentialEnergyAtTime()

tReal EMM_DisplacementOperator::computePotentialEnergyAtTime ( const tReal & t ) const

inlineinherited

compute the potential energy to the space variation of the displacement

Parameters

t	time in [0,dt[ where dt is the time step

Returns: potential energy value $\int_\omega (\lambda^e:\varepsilon(u)):\varepsilon(u) d\omega$

References EMM_DisplacementOperator::computePotentialEnergy(), EMM_DisplacementOperator::getDisplacement(), and tReal.

Referenced by EMM_DisplacementOperator::computeEnergy().

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◆ computeStress()

void EMM_DisplacementOperator::computeStress	(	const EMM_RealArray &	sigma,
		const EMM_RealField &	U,
		const EMM_RealField &	M,
		EMM_RealField &	stress
	)		const

inlineinherited

compute the stress $div(sigma(U,M))=div(\lambda^e:\epsilon(U))-div(\lambda^2:\lambda^m:M\otimes M)$

Parameters

sigma	magnetized weight for each cell
U	the displacement field
M	the magnetization field
stress	the divergence stress field

It calls:

EMM_DisplacementOPerator::computeElasticStress();
EMM_DisplacementOperator::computeMagneticStress();

References EMM_DisplacementOperator::computeElasticStress(), and EMM_DisplacementOperator::computeMagneticStress().

Referenced by EMM_DisplacementOperator::computeFieldsAtTimeWithGLnInterpolation(), EMM_DisplacementOperator::restore(), and EMM_DisplacementOperator::updateAtNextTimeStep().

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◆ computeStressConstraintEnergy() [1/2]

tReal EMM_DisplacementFVMOperator::computeStressConstraintEnergy ( const EMM_RealField & Uf ) const

inlinevirtualinherited

compute the stress constraint energy on boundary

Parameters

Uf	the displacement field

Returns: the corresponding energy $\int_{partial \omega} C.U d\sigma$

return 0 because there is no constraint forces energy

Implements EMM_DisplacementOperator.

◆ computeStressConstraintEnergy() [2/2]

tReal EMM_DisplacementOperator::computeStressConstraintEnergy ( const tReal & t ) const

inlineinherited

compute the energy of the boundary stress constraint

Parameters

t	time in [0,dt[ where dt is the time step

References EMM_DisplacementOperator::getDisplacement(), and tReal.

Referenced by EMM_DisplacementOperator::computeEnergy().

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◆ discretize()

tBoolean EMM_DisplacementFVMOperator::discretize ( const EMM_LandauLifschitzSystem & system )

virtualinherited

discretize and initialize the operator

Parameters

system the data to discretize the operator

Returns: true if it succeeds

create the neighbor cell indices
call EMM_DisplacementOperator::discretize()
project U & V on centered of cells
compute the accelerator vector at t=0

Reimplemented from EMM_DisplacementOperator.

References EMM_Grid3D::buildNeighborsIndices(), EMM_DisplacementOperator::discretize(), EMM_DisplacementOperator::getAccelerator(), EMM_DisplacementOperator::getDisplacement(), EMM_Grid3D::getElementsNumber(), EMM_LandauLifschitzSystem::getMagnetizationField(), EMM_LandauLifschitzSystem::getMatterField(), EMM_LandauLifschitzSystem::getMesh(), EMM_Grid3D::getSegmentsNumber(), EMM_LandauLifschitzSystem::getSigma(), EMM_DisplacementOperator::getVelocity(), EMM_Grid3D::isDirectionPeriodic(), EMM_DisplacementFVMOperator::mNeighborsIndices, EMM_DisplacementFVMOperator::mPeriodicDirections, EMM_DisplacementFVMOperator::mSegmentsNumber, CORE_Object::out(), EMM_RealField::pointDataToCellData(), CORE_Out::println(), EMM_RealField::setSize(), tBoolean, EMM_DisplacementFVMOperator::toString(), tUCInt, tUIndex, and EMM_DisplacementOperator::updateAtNextTimeStep().

Referenced by EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary().

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◆ edgeMean()

tBoolean EMM_DisplacementFVM_Interpolator::edgeMean	(	const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tUCInt &	g,
		const tBoolean *	isPeriodic,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tDimension &	dim,
		const tLimitCondition *	lc,
		const tBoolean &	incU,
		const tReal *	Upoints,
		tReal *	Um
	)

staticinherited

compute the mean value of U defined on points at edge between face f and face g of the cell (xCell,yCell,zCell)

Parameters

[in]	xCell	index of the segment of cell in the x-direction within [0,Nx[ to compute the mean of U
[in]	yCell	index of the segment of cell in the y-direction within [0,Ny[ to compute the mean of U
[in]	zCell	index of the segment of cell in the z-direction within [0,Nz[ to compute the mean of U
[in]	f	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	g	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	isPeriodic	periodicity per direction
[in]	Px	: number of points in x-direction
[in]	Py	: number of points in y-direction
[in]	Pz	: number of points in z-direction
[in]	dim	: dimension of each point of U
[in]	lc	: limit condition on points
[in]	incU	: size of incement of U (0: if constant)
[in]	Upoints	values of U at all points
[out]	Um	: mean of U on cell

Returns: false if U is null

commpute the mean of U over the edge intersection with the face f and g on the cell at segment indices xcell,yCell,zCell into Um $U_m= \frac{1}{2} \sum_{i=0}^{i=1} U[iP]$ with iP is the point of the edge

References EMM_Grid3D::EDGE_POINTS, EMM_Grid3D::ELEMENT_POINTS, EMM_Grid3D::GET_MASTER_PERIODIC_POINT(), EMM_Grid3D::getPeriodicIndicator(), null, EMM_Grid3D::SLAVE_LIMIT_CONDITION, tBoolean, tCInt, tDimension, CORE_Integer::toString(), tReal, tUCInt, tUIndex, and tUInteger.

Referenced by EMM_DisplacementFVM_Interpolator::interpolateUAtEdge(), and EMM_DisplacementFVM_Interpolator::interpolateUAtVertices().

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◆ faceMean()

tBoolean EMM_DisplacementFVM_Interpolator::faceMean	(	const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUCInt &	f,
		const tBoolean *	isPeriodic,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tDimension &	dim,
		const tLimitCondition *	lc,
		const tBoolean &	incU,
		const tReal *	Upoints,
		tReal *	Um
	)

staticinherited

compute the mean value of U defined on points at face f of the cell (xCell,yCell,zCell)

Parameters

[in]	xCell	x-index of the cell in [0,Nx[ to compute the mean of U
[in]	yCell	y-index of the cell in [0,Ny[ to compute the mean of U
[in]	zCell	z-index of the cell in [0,Nz[ to compute the mean of U
[in]	f	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	isPeriodic	: periodicity of the domain
[in]	Px	: number of points in x-direction
[in]	Py	: number of points in y-direction
[in]	Pz	: number of points in z-direction
[in]	dim	: dimension of each point of U
[in]	lc	: limit condition on points
[in]	incU	: size of incement of U (0: if constant)
[in]	Upoints	values of U at all points
[out]	Um	mean of U on cell

Returns: false if the mean of U is null. commpute the mean of U over the face f on the cell at segment indices xcell,yCell,zCell into Um

$U_m = \frac{1}{4} \sum_{i=0}^{i=3} U[iP]$ with iP is the point of the face

References EMM_Grid3D::ELEMENT_POINTS, EMM_Grid3D::FACE_POINTS, EMM_Grid3D::GET_MASTER_PERIODIC_POINT(), EMM_Grid3D::getPeriodicIndicator(), null, EMM_Grid3D::POINTS_NUMBER_PER_FACE, EMM_Grid3D::SLAVE_LIMIT_CONDITION, tBoolean, tDimension, tLimitCondition, tReal, tUCInt, tUIndex, and tUInteger.

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VGROperator::computeGradUAtFace(), EMM_DisplacementFVM_SSGROperator::computeGradUAtFaceByStokesIntegration(), computeGradUAtFaceByTaylorExpansion(), and EMM_DisplacementFVM_Interpolator::interpolateAlmostNullUAtFace().

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◆ getAccelerator() [1/2]

EMM_RealField& EMM_DisplacementOperator::getAccelerator ( )

inlineinherited

get the accelerator for writing

Returns: the accelerator field

Referenced by EMM_DisplacementOperator::computeEquilibriumState(), EMM_DisplacementFVMOperator::discretize(), EMM_DisplacementFEMOperator::discretize(), EMM_DisplacementFVMOperator::getDataFieldSpace(), EMM_DisplacementFEMOperator::getDataFieldSpace(), EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver(), and EMM_DisplacementOperator::initializeEquilibriumSolver().

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◆ getAccelerator() [2/2]

const EMM_RealField& EMM_DisplacementOperator::getAccelerator ( ) const

inlineinherited

get the accelerator for reading

Returns: the accelerator field

References EMM_DisplacementOperator::setSolver(), and tString.

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◆ getAdimensionizedSegmentsSize()

const tReal* EMM_DisplacementOperator::getAdimensionizedSegmentsSize ( ) const

inlineinherited

get the segments size in all directions

Returns: an array of size 3 which give sthe step size in the i-direction for i in [0,3[

References EMM_DisplacementOperator::mL.

Referenced by EMM_DisplacementFEMOperator::buildDataOnNeumannBoundaryFaces(), EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFEMOperator::computeElasticStress(), EMM_DisplacementFVMOperator::computeElasticTensor(), EMM_DisplacementFEMOperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), EMM_DisplacementFEMOperator::computeEquilibriumMatrixDiagonalConditioner(), EMM_DisplacementFVMOperator::computeMagneticStress(), EMM_DisplacementFEMOperator::computeMagneticStress(), and EMM_DisplacementFEMOperator::computeStressConstraintEnergy().

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◆ getAdimensionizedVolumicMass()

const EMM_RealArray& EMM_DisplacementOperator::getAdimensionizedVolumicMass ( ) const

inlineinherited

get the adimensionized volumic mass per cell

Returns: the adimensionized volumic mass

References EMM_DisplacementOperator::mKappa.

Referenced by EMM_DisplacementFVMOperator::computeCineticEnergy(), and EMM_DisplacementFEMOperator::computeCineticEnergy().

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◆ getClassName() [1/2]

tString CORE_Object::getClassName ( ) const

inherited

return the class name of the object

Returns: the class name of the object

References tString.

Referenced by CORE_Object::getIdentityString(), EMM_Operator::getName(), and CORE_Object::isMemoryChecked().

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◆ getClassName() [2/2]

static tString CORE_Object::getClassName ( const tString & identityString )

inlinestaticinherited

return the class name of the object

Parameters

identityString the identity string of the object

Returns: the class name

◆ getConstraintFaces()

const tFlag& EMM_DisplacementOperator::getConstraintFaces ( ) const

inlineinherited

get the constraint faces $C=\sum_{f=0}^{f=5} C_f 2^f$ $ C_f=1 $ if face f is constrainted

Returns: the constraints faces

References EMM_DisplacementOperator::mConstraintFaces.

Referenced by EMM_DisplacementFEMOperator::buildDataOnNeumannBoundaryFaces(), and EMM_DisplacementFVMOperator::computeElasticStress().

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◆ getConstraints() [1/2]

const EMM_RealField& EMM_DisplacementOperator::getConstraints ( ) const

inlineinherited

get the constraints field for reading

Returns: the constraints field

Referenced by EMM_DisplacementFEMOperator::addBoundaryElasticStress(), EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementOperator::computeEnergy(), and EMM_DisplacementFEMOperator::computeStressConstraintEnergy().

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◆ getConstraints() [2/2]

EMM_RealField& EMM_DisplacementOperator::getConstraints ( )

inlineinherited

get the constraints field for writing

Returns: the constraints field

◆ getDataField() [1/3]

virtual tBoolean EMM_DisplacementOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const float *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns

true if the field at index exists

0 : it returns the displacement field U
1 : it returns the velocity field dU_dt
2 : it returns the accelerator field acc= $\frac{d^2U}{dt^2}$

Reimplemented from EMM_Operator.

References tBoolean.

◆ getDataField() [2/3]

virtual tBoolean EMM_DisplacementOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const double *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns

true if the field at index exists

0 : it returns the displacement field U
1 : it returns the velocity field dU_dt
2 : it returns the accelerator field acc= $\frac{d^2U}{dt^2}$

Reimplemented from EMM_Operator.

References tBoolean.

◆ getDataField() [3/3]

virtual tBoolean EMM_DisplacementOperator::getDataField	(	const tUSInt &	index,
		tString &	dataName,
		tUIndex &	n,
		tDimension &	dim,
		const long double *&	values
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
n	number of element of the field
dim	dimension of the field in [1,3[
values	values of the field

Returns

true if the field at index exists

0 : it returns the displacement field U
1 : it returns the velocity field dU_dt
2 : it returns the accelerator field acc= $\frac{d^2U}{dt^2}$

Reimplemented from EMM_Operator.

References tBoolean.

◆ getDataFieldsNumber()

virtual tUSInt EMM_DisplacementOperator::getDataFieldsNumber ( ) const

inlinevirtualinherited

get the number of field used in the operator

Returns: the number of data

Reimplemented from EMM_Operator.

References EMM_DisplacementOperator::isSteadyState().

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◆ getDataFieldSpace()

virtual tBoolean EMM_DisplacementFVMOperator::getDataFieldSpace	(	const tUSInt &	index,
		tString &	dataName,
		tFlag &	supportType,
		tString &	dFieldType,
		tUIndex &	n,
		tDimension &	dim
	)		const

inlinevirtualinherited

get the data field at index for saving data in vtk,txt,... files.

Parameters

index	index of the field in [0,getDataFieldsNumber()[
dataName	name of the field
supportType	: mesh element whre the field is applied EMM_Grid3D::ELEMENT; \|\| EMM_Grid3D::POINT
dFieldType	: type of the field double,float,int,....
n	number of element of the field
dim	dimension of the field in [1,3[

Returns: true if the field at index exists

for index :

0 : it returns the displacement field U
1 : it returns the velocity field dU_dt
2 : it returns the accelerator field acc= $\frac{d^2U}{dt^2}$

Reimplemented from EMM_Operator.

References EMM_Grid3D::ELEMENT, EMM_DisplacementOperator::getAccelerator(), EMM_RealField::getDimension(), EMM_DisplacementOperator::getDisplacement(), EMM_RealField::getSize(), and EMM_DisplacementOperator::getVelocity().

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◆ getDisplacement() [1/3]

EMM_RealField& EMM_DisplacementOperator::getDisplacement ( )

inlineinherited

get the displacement for writing

Returns: the displacement field

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◆ getDisplacement() [2/3]

const EMM_RealField& EMM_DisplacementOperator::getDisplacement ( ) const

inlineinherited

get the displacement for reading

Returns: the displacement field

◆ getDisplacement() [3/3]

const EMM_RealField& EMM_DisplacementOperator::getDisplacement ( const tReal & t ) const

inlineinherited

get the veolicty at time

Parameters

t	time to get velocity

References EMM_DisplacementOperator::isSteadyState().

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◆ getDisplacementOnDirichletBoundary() [1/2]

const EMM_RealField& EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary ( ) const

inlineinherited

get the displacement field at boundary for reading

Returns

the displacement at all points at time 0

U0 is null is U0 is null everywhere on dirichlet points
U0 is of size 1 if U0 is constant but not null on dirichlet points
U0 is of size of number of points in all other cases

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), EMM_DisplacementFVM_VIGROperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeElasticTensor(), and EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver().

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◆ getDisplacementOnDirichletBoundary() [2/2]

EMM_RealField& EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary ( )

inlineinherited

get the displacement field at boundary for writing

Returns

the displacament at all points at time 0

U0 is null is U0 is null everywhere on dirichlet points
U0 is of size 1 if U0 is constant but not null on dirichlet points
U0 is of size of number of points in all other cases

References EMM_DisplacementFVMOperator::buildDataOnDirichletBoundaryFaces(), EMM_DisplacementFVMOperator::buildDataOnNeumannBoundaryFaces(), EMM_DisplacementFVMOperator::discretize(), EMM_DisplacementFVMOperator::getMemorySize(), EMM_DisplacementFVMOperator::resetToInitialState(), EMM_DisplacementFVMOperator::setBoundaryFaceTypes(), tBoolean, and tULLInt.

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◆ getDoubleEpsilon()

static tDouble CORE_Object::getDoubleEpsilon ( )

inlinestaticinherited

get the epsilon value for tDouble type

Returns: the epsilon value for tDouble type

Referenced by CORE_Test::testType().

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◆ getDoubleInfinity()

static tDouble CORE_Object::getDoubleInfinity ( )

inlinestaticinherited

get the infinity value for tFloat type

Returns: the intinity value for tFloat type

◆ getElasticTensor()

const EMM_2PackedSymmetricTensors& EMM_DisplacementOperator::getElasticTensor ( ) const

inlineinherited

return the elastic tensor $\varepsilon(u)=\displaystyle \frac{1}{2} \left ( \frac{\partial u_i}{\partial x_j} + \frac{\partial u_j}{\partial x_i} \right )$

Returns: the aelastic tensor

References EMM_DisplacementOperator::mEpsilonUt.

Referenced by EMM_DisplacementOperator::computeEnergy().

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◆ getElementVolume()

const tReal& EMM_Operator::getElementVolume ( ) const

inlineinherited

return the adimensionized volume of the element

Returns: the voume of the element with adimensionized dimensions

References EMM_Operator::mElementVolume.

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◆ getEpsilon()

template<class T >

static T CORE_Object::getEpsilon ( )

inlinestaticinherited

get the epsilon value for T type

Returns: the epsilon value for T type

◆ getFloatEpsilon()

static tFloat CORE_Object::getFloatEpsilon ( )

inlinestaticinherited

get the epsilon value for tFloat type

Returns: the epsilon value for tFloat type

Referenced by CORE_Test::testType().

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◆ getFloatInfinity()

static tFloat CORE_Object::getFloatInfinity ( )

inlinestaticinherited

get the infinity value for tFloat type

Returns: the intinity value for tFloat type

◆ getIdentityString()

tString CORE_Object::getIdentityString ( ) const

inlineinherited

return the identity string of the object of the form className_at_address

Returns: the identity string of the object

References CORE_Object::getClassName(), CORE_Object::pointer2String(), and tString.

Referenced by MATH_GaussLegendreIntegration::copy(), EMM_MultiScaleGrid::initialize(), CORE_Object::isInstanceOf(), CORE_Object::printObjectsInMemory(), MATH_Matrix::toString(), EMMG_SLPeriodicMultiScale::toString(), EMM_Stepper::toString(), EMM_AnisotropyDirectionsField::toString(), EMM_BlockMassMatrix::toString(), CORE_Object::toString(), EMM_Tensors::toString(), EMM_MultiScaleGrid::toString(), EMM_MatterField::toString(), EMM_Grid3D::toString(), and EMM_LandauLifschitzSystem::toString().

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◆ getInfinity()

template<class T >

static T CORE_Object::getInfinity ( )

inlinestaticinherited

get the infinity for T type

Returns: the infinity value for T type

◆ getLambdaE()

const EMM_4SymmetricTensors& EMM_DisplacementOperator::getLambdaE ( ) const

inlineinherited

return the adimensionized elastic tensor distribution $\lambda^e$

Returns: the adimensionized elastic tensor of size 3x3x3x3 at each cell of size nCells in a morse array

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFEMOperator::computeElasticStress(), EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), and EMM_DisplacementFEMOperator::computeEquilibriumMatrixDiagonalConditioner().

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◆ getLambdaEDoubleDotLambdaM()

const EMM_4Tensors& EMM_DisplacementOperator::getLambdaEDoubleDotLambdaM ( ) const

inlineinherited

return the adimensionized magnetic tensor distribution $\lambda^e:\lambda^m$

Returns: the adimensionized magnetic tensor of size 3x3x3x3 at each cell of size nCells in a morse array

Referenced by EMM_DisplacementFVMOperator::computeMagneticStress(), and EMM_DisplacementFEMOperator::computeMagneticStress().

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◆ getLambdaMDoubleDotLambdaE()

const EMM_4Tensors& EMM_DisplacementOperator::getLambdaMDoubleDotLambdaE ( ) const

inlineinherited

return the adimensionized magnetic tensor distribution $\lambda^m:\lambda^e$

Returns: the adimensionized magnetic tensor of size 3x3x3x3 at each cell of size nCells in a morse array

◆ getLambdaMDoubleDotLambdaEDoubleDotLambdaM()

const EMM_4SymmetricTensors& EMM_DisplacementOperator::getLambdaMDoubleDotLambdaEDoubleDotLambdaM ( ) const

inlineinherited

return the adimensionized magnetic tensor distribution $\lambda^m:\lambda^e:\lambda^m$

Returns: the adimensionized magnetic tensor of size 3x3x3x3 at each cell of size nCells in a morse array

Referenced by EMM_MagnetostrictionOperator::computeEnergy().

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◆ getLDoubleEpsilon()

static tLDouble CORE_Object::getLDoubleEpsilon ( )

inlinestaticinherited

get the epsilon value for tLDouble type

Returns: the epsilon value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getLDoubleInfinity()

static tDouble CORE_Object::getLDoubleInfinity ( )

inlinestaticinherited

get the infinity value for tDouble type

Returns: the infinity value for tDouble type

◆ getLimitConditionOnPoints()

const EMM_LimitConditionArray& EMM_DisplacementOperator::getLimitConditionOnPoints ( ) const

inlineinherited

References CORE_Array< T >::get().

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◆ getLimitConditionOnPointsByReference()

SPC::EMM_LimitConditionArray EMM_DisplacementOperator::getLimitConditionOnPointsByReference ( ) const

inlineinherited

Referenced by EMM_DisplacementFEMOperator::discretize().

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◆ getMaxChar()

static tChar CORE_Object::getMaxChar ( )

inlinestaticinherited

get the max value for tChar type

Returns: the max value for tChar type

Referenced by CORE_Test::testType().

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◆ getMaxDouble()

static tDouble CORE_Object::getMaxDouble ( )

inlinestaticinherited

get the max value for tDouble type

Returns: the max value for tDouble type

Referenced by CORE_Test::testType().

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◆ getMaxFlag()

static tFlag CORE_Object::getMaxFlag ( )

inlinestaticinherited

get the max value for the tFlag type

Returns: the max value for the tFlag type

Referenced by CORE_Test::testType().

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◆ getMaxFloat()

static tFloat CORE_Object::getMaxFloat ( )

inlinestaticinherited

get the max value for tFloat type

Returns: the max value for tFloat type

Referenced by CORE_Test::testType().

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◆ getMaxIndex()

static tIndex CORE_Object::getMaxIndex ( )

inlinestaticinherited

get the max value for the array/vector indexing type

Returns: the max value for the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMaxInt()

static tInt CORE_Object::getMaxInt ( )

inlinestaticinherited

get the max value for tInt type

Returns: the max value for tInt type

Referenced by MATSGN_FFT::fastFourierTransform3D_FFTW(), and CORE_Test::testType().

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◆ getMaxInteger()

static tInteger CORE_Object::getMaxInteger ( )

inlinestaticinherited

get the max value for the integer type

Returns: the max value for the integer type

Referenced by CORE_Test::testType().

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◆ getMaxLDouble()

static tLDouble CORE_Object::getMaxLDouble ( )

inlinestaticinherited

get the max value for tLDouble type

Returns: the max value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getMaxLInt()

static tLInt CORE_Object::getMaxLInt ( )

inlinestaticinherited

get the max value for tLInt type

Returns: the max value for tLInt type

Referenced by CORE_Test::testType().

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◆ getMaxLLInt()

static tLLInt CORE_Object::getMaxLLInt ( )

inlinestaticinherited

get the max value for tULInt type

Returns: the max value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMaxReal()

static tReal CORE_Object::getMaxReal ( )

inlinestaticinherited

get the max value for the real type

Returns: he max value for the real type

Referenced by EMM_MatterField::adimensionize(), and CORE_Test::testType().

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◆ getMaxSInt()

static tSInt CORE_Object::getMaxSInt ( )

inlinestaticinherited

get the max value for tSInt type

Returns: the max value for tSInt type

Referenced by CORE_Test::testType().

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◆ getMaxUChar()

static tUChar CORE_Object::getMaxUChar ( )

inlinestaticinherited

get the max value for tUChar type

Returns: the max value for tUChar type

Referenced by CORE_Test::testType().

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◆ getMaxUIndex()

static tUIndex CORE_Object::getMaxUIndex ( )

inlinestaticinherited

get the max value for difference the array/vector indexing type

Returns: the max value for difference the array/vector indexing type

Referenced by CORE_Vector< T >::addAfterIndices(), CORE_Vector< T >::search(), CORE_Test::testType(), CORE_Integer::toHexString(), and CORE_Integer::toString().

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◆ getMaxUInt()

static tUInt CORE_Object::getMaxUInt ( )

inlinestaticinherited

get the max value for tUInt type

Returns: the max value for tUInt type

Referenced by EMM_Array< tCellFlag >::loadFromFile(), EMM_RealField::loadFromFile(), and CORE_Test::testType().

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◆ getMaxUInteger()

static tUInteger CORE_Object::getMaxUInteger ( )

inlinestaticinherited

get the max value for the unsigned integer type

Returns: the max value for the unsigned integer type

Referenced by MATH_Pn::computeExtrenums(), EMM_MultiScaleGrid::computeLevelsNumber(), EMM_Input::restoreBackup(), MATH_P0::solve(), and CORE_Test::testType().

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◆ getMaxULInt()

static tULInt CORE_Object::getMaxULInt ( )

inlinestaticinherited

get the max value for tULInt type

Returns: the max value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMaxULLInt()

static tULLInt CORE_Object::getMaxULLInt ( )

inlinestaticinherited

get the max value for tULLInt type

Returns: the max value for tULLInt type

Referenced by CORE_Test::testType().

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◆ getMaxUSInt()

static tUSInt CORE_Object::getMaxUSInt ( )

inlinestaticinherited

get the max value for tUSInt type

Returns: the max value for tUSInt type

Referenced by CORE_Test::testType().

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◆ getMemorySize()

tULLInt EMM_DisplacementFVMOperator::getMemorySize ( ) const

virtualinherited

return the memory size in byte

Returns: the memory size of the storage in bytes 1 Kb = 1024 bytes 1 Mb = 1024 Kb 1 Gb = 1024 Mb 1 Tb = 1024 Gb 1 Hb = 1024 Tb

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementOperator::getMemorySize(), and EMM_DisplacementFVMOperator::mU0.

Referenced by EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary().

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◆ getMinChar()

static tChar CORE_Object::getMinChar ( )

inlinestaticinherited

get the min value for tChar type

Returns: the min value for tChar type

Referenced by CORE_Test::testType().

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◆ getMinDouble()

static tDouble CORE_Object::getMinDouble ( )

inlinestaticinherited

get the min value for tDouble type

Returns: the min value for tDouble type

Referenced by CORE_Test::testType().

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◆ getMinFlag()

static tFlag CORE_Object::getMinFlag ( )

inlinestaticinherited

get the min value for the tFlag type

Returns: the min value for the tFlag type

Referenced by CORE_Test::testType().

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◆ getMinFloat()

static tFloat CORE_Object::getMinFloat ( )

inlinestaticinherited

get the min value for tFloat type

Returns: the min value for tFloat type

Referenced by CORE_Test::testType().

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◆ getMinIndex()

static tIndex CORE_Object::getMinIndex ( )

inlinestaticinherited

get the min value for the array/vector indexing type

Returns: the min value for the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMinInt()

static tInt CORE_Object::getMinInt ( )

inlinestaticinherited

get the min value for tInt type

Returns: the min value for tInt type

Referenced by CORE_Test::testType().

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◆ getMinInteger()

static tInteger CORE_Object::getMinInteger ( )

inlinestaticinherited

get the min value for the integer type

Returns: the minin value for the integer type

Referenced by CORE_Test::testType().

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◆ getMinLDouble()

static tLDouble CORE_Object::getMinLDouble ( )

inlinestaticinherited

get the min value for tLDouble type

Returns: the min value for tLDouble type

Referenced by CORE_Test::testType().

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◆ getMinLInt()

static tLInt CORE_Object::getMinLInt ( )

inlinestaticinherited

get the min value for tLInt type

Returns: the min value for tLInt type

Referenced by CORE_Test::testType().

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◆ getMinLLInt()

static tLLInt CORE_Object::getMinLLInt ( )

inlinestaticinherited

get the min value for tLLInt type

Returns: the min value for tLLInt type

Referenced by CORE_Test::testType().

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◆ getMinReal()

static tReal CORE_Object::getMinReal ( )

inlinestaticinherited

get the min value for the real type

Returns: the min value for the real type

Referenced by CORE_Test::testType().

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◆ getMinSInt()

static tSInt CORE_Object::getMinSInt ( )

inlinestaticinherited

get the min value for tSInt type

Returns: the min value for tSInt type

Referenced by CORE_Test::testType().

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◆ getMinUChar()

static tUChar CORE_Object::getMinUChar ( )

inlinestaticinherited

get the min value for tUChar type

Returns: the min value for tUChar type

Referenced by CORE_Test::testType().

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◆ getMinUIndex()

static tUIndex CORE_Object::getMinUIndex ( )

inlinestaticinherited

get the min value for difference the array/vector indexing type

Returns: the min value for difference the array/vector indexing type

Referenced by CORE_Test::testType().

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◆ getMinUInt()

static tUInt CORE_Object::getMinUInt ( )

inlinestaticinherited

get the min value for tUInt type

Returns: the min value for tUInt type

Referenced by CORE_Test::testType().

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◆ getMinUInteger()

static tUInteger CORE_Object::getMinUInteger ( )

inlinestaticinherited

get the min value for the unsigned integer type

Returns: the min value for the unsigned integer type

Referenced by CORE_Test::testType().

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◆ getMinULInt()

static tULInt CORE_Object::getMinULInt ( )

inlinestaticinherited

get the min value for tULInt type

Returns: the min value for tULInt type

Referenced by CORE_Test::testType().

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◆ getMinULLInt()

static tULLInt CORE_Object::getMinULLInt ( )

inlinestaticinherited

get the min value for tULLInt type

Returns: the min value for tULLInt type

Referenced by CORE_Test::testType().

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◆ getMinUSInt()

static tUSInt CORE_Object::getMinUSInt ( )

inlinestaticinherited

get the min value for tUSInt type

Returns: the min value for tUSInt type

Referenced by CORE_Test::testType().

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◆ getName()

virtual tString EMM_Operator::getName ( ) const

inlinevirtualinherited

return an human reading name of the operator

Returns: the name of the operator

References CORE_Object::getClassName(), EMM_Operator::isAffine(), EMM_Operator::isGradientComputationable(), tBoolean, tString, and tUIndex.

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◆ getNeighborsIndices() [1/2]

const CORE_UIndexMorseArray& EMM_DisplacementFVMOperator::getNeighborsIndices ( ) const

inlineinherited

get the index of the neighbor cells for each cell of the mesh for reading

Returns: a morse array of vector

References EMM_DisplacementFVMOperator::mNeighborsIndices.

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), EMM_DisplacementFVM_VIGROperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation(), and EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver().

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◆ getNeighborsIndices() [2/2]

CORE_UIndexMorseArray& EMM_DisplacementFVMOperator::getNeighborsIndices ( )

inlineinherited

get the index of the neighbor cells for each cell of the mesh

Returns: a morse array of vector

References EMM_DisplacementFVMOperator::mNeighborsIndices.

◆ getOut()

static SP::CORE_Out CORE_Object::getOut ( )

inlinestaticinherited

get the output

Returns: the shared pointer to the output stream

References CORE_Object::OUT.

◆ getPointerAddress()

tString CORE_Object::getPointerAddress ( ) const

inlineinherited

return the identity string of the object

Returns: the identity string of the object

References CORE_Object::pointer2String().

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◆ getRealEpsilon()

static tReal CORE_Object::getRealEpsilon ( )

inlinestaticinherited

get the eps which is the difference between 1 and the least value greater than 1 that is representable.

Returns: the eps which is the difference between 1 and the least value greater than 1 that is representable.

Referenced by MATH_P4::solveP4De(), and CORE_Test::testType().

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◆ getRealInfinity()

static tReal CORE_Object::getRealInfinity ( )

inlinestaticinherited

get the infinity value

Returns: the inifinity value for the real type

Referenced by BrentFunction::BrentFunction(), EMM_OperatorsTest::compareDiscretizedData(), EMM_IterativeTimeStep::EMM_IterativeTimeStep(), EMM_SLElementaryDemagnetizedMatrix::Kxy(), NRFunction::NRFunction(), EMM_PolynomialInterpolationTimeStep::optimizeTimeFunction(), and CORE_Test::testType().

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◆ getSegmentsNumber()

const tUInteger* EMM_DisplacementFVMOperator::getSegmentsNumber ( ) const

inlineinherited

get number of segments in each direction

Returns: an arrau of unsigned integer

References EMM_DisplacementFVMOperator::mSegmentsNumber.

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), EMM_DisplacementFVM_VIGROperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), and EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver().

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◆ getSharedPointer() [1/2]

void CORE_Object::getSharedPointer ( SP::CORE_Object & p )

inlineinherited

get the shared pointer of this class into p

Parameters

p	: shared pointer of the class This

Referenced by CORE_Map< Key, Value >::getSharedPointer(), CORE_ArrayList< tString >::getSharedPointer(), EMM_Array< tCellFlag >::getSharedPointer(), CORE_Array< tCellFlag >::getSharedPointer(), CORE_MorseArray< tUChar >::getSharedPointer(), CORE_Vector< T >::getSharedPointer(), and CORE_Object::printObjectsInMemory().

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◆ getSharedPointer() [2/2]

void CORE_Object::getSharedPointer ( SPC::CORE_Object & p ) const

inlineinherited

get the shared pointer of this class into p

Parameters

p	: shared pointer of the class This

◆ getSolver()

MATH_Solver* EMM_DisplacementOperator::getSolver ( )

inlineinherited

get the solver of the system

Returns: the solver null by default

Referenced by EMM_DisplacementOperator::computeEquilibriumState(), EMMG_ClassFactory::NewInstance(), and EMM_DisplacementFEMOperator::solveAcceleratorSystem().

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◆ getThread()

static CORE_Thread& CORE_Object::getThread ( )

inlinestaticinherited

get the profilier

Returns: the profiler

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◆ getTimeIntegrationMethod()

const tFlag& EMM_DisplacementOperator::getTimeIntegrationMethod ( ) const

inlineinherited

get the time integration method for next time step

Returns: integration method in P1 | TE

References EMM_DisplacementOperator::mTimeIntegrationMethod.

◆ getTimeIntegrationOrder()

const tUCInt& EMM_DisplacementOperator::getTimeIntegrationOrder ( ) const

inlineinherited

get the time integration order for new field

Returns: integration order in {1,2}

References EMM_DisplacementOperator::mTimeIntegrationOrder.

◆ getTimeStep()

const tReal& EMM_DisplacementOperator::getTimeStep ( ) const

inlineinherited

get the time step for elasticty

Returns: the time step for elasticity

References EMM_DisplacementOperator::mDt.

◆ getTypeName()

template<class T >

static tString CORE_Object::getTypeName ( )

inlinestaticinherited

get type name

Returns: the type name of the class

References tString.

◆ getVelocity() [1/3]

EMM_RealField& EMM_DisplacementOperator::getVelocity ( )

inlineinherited

get the velocity for writing

Returns: the velocity field

Referenced by EMM_DisplacementOperator::computeCineticEnergyAtTime(), EMM_DisplacementFVMOperator::discretize(), EMM_DisplacementFEMOperator::discretize(), EMM_DisplacementFVMOperator::getDataFieldSpace(), EMM_DisplacementFEMOperator::getDataFieldSpace(), EMM_DisplacementFVMOperator::resetToInitialState(), and EMM_DisplacementOperator::resetToInitialState().

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◆ getVelocity() [2/3]

const EMM_RealField& EMM_DisplacementOperator::getVelocity ( const tReal & t ) const

inlineinherited

get the velocity at time

Parameters

t	time to get velocity

References EMM_DisplacementOperator::isSteadyState().

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◆ getVelocity() [3/3]

const EMM_RealField& EMM_DisplacementOperator::getVelocity ( ) const

inlineinherited

get the velocity at t for reading

Returns: the velocity field

◆ initializeEquilibriumSolver()

void EMM_DisplacementOperator::initializeEquilibriumSolver ( const EMM_RealField & U0 )

protectedvirtualinherited

initialize the equilibrium solver

Parameters

[in] U0 is the value of U on dirichlet points

create the equilibrium matrix
compute the preconditioner matrix
compute the constant part of the affine elastic stree operator and store it in accelerator field

Reimplemented in EMM_DisplacementFVM_VIGROperator.

References EMM_DisplacementOperator::computeElasticStress(), EMM_DisplacementOperator::getAccelerator(), EMM_RealField::getDimension(), EMM_DisplacementOperator::getDisplacement(), EMM_RealField::getSize(), EMM_RealField::getValues(), EMM_RealField::initField(), EMM_DisplacementOperator::mEquilibriumMatrix, EMM_DisplacementOperator::NewEquilibriumMatrix(), EMM_RealField::NewInstance(), EMM_RealField::setDimension(), EMM_RealField::setSize(), EMM_DisplacementOperator::spaceProjection(), EMM_DisplacementOperator::spaceRelevant(), tDimension, tReal, tUIndex, and EMM_Object::Z.

Referenced by EMM_DisplacementOperator::computeEquilibriumMatrixDiagonalConditioner(), EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver(), EMM_DisplacementOperator::restore(), and EMM_DisplacementOperator::updateAtNextTimeStep().

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◆ interpolateAlmostNullUAtFace()

static void EMM_DisplacementFVM_Interpolator::interpolateAlmostNullUAtFace	(	const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean	periodicity[3],
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tUCInt &	f,
		const tDimension &	dim,
		const tReal *	Ui,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		tReal *	Umean
	)

inlinestaticinherited

compute interpolation of U at Face

Parameters

[in]	xCell	index of the segment of cell in the x-direction within [0,Px-1[
[in]	yCell	index of the segment of cell in the y-direction within [0,Py-1[
[in]	zCell	index of the segment of cell in the z-direction within [0,Pz-1[
[in]	Px	: number of points in the direction x
[in]	Py	: number of points in the direction y
[in]	Pz	: number of points in the direction z
[in]	periodicity	: periodicty of the domain per direction
[in]	neighborsIndices	:indices of the neighbor of each cell
[in]	f	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	dim	: dimension of each point of U
[in]	Ui	values of U at cell (xCell,yCell,zCell)
[in]	lc	limit condition on all points of the mesh
[in]	incU0	increment for U0 (0: for constant U0, 1:for not uniform U0)
[in]	U0	values of U0 of size dim when incU0=0 or dim x Px x Py x Pz
[out]	Umean	: mean of U on cell

Returns: false if U is null

commpute the mean value of U on the face when U is null outside the cell (xCell,yCell,zCell) into Um

$U_m = \frac{1}{4} \sum_{i=0}^{i=3} U[iP]$ with iP is the point of the face

References EMM_DisplacementFVM_Interpolator::cellMean(), EMM_DisplacementFVM_Interpolator::faceMean(), EMM_DisplacementFVM_Interpolator::interpolateUAtFace(), null, tBoolean, tDimension, tLimitCondition, tReal, tUCInt, and tUInteger.

Referenced by EMM_DisplacementFVM_VOGGROperator::computeGradAlmostNullUAtCellByOstrogradskiGreenIntegration(), EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_SSGROperator::computeGradAlmostNullUAtFaceByStokesIntegration(), and EMM_DisplacementFVM_VOGGROperator::computeGradAlmostNullUAtNextCellByOstrogradskiGreenIntegration().

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◆ interpolateAlmostNullUAtVertex()

static void EMM_DisplacementFVM_Interpolator::interpolateAlmostNullUAtVertex	(	const tUInteger &	xP,
		const tUInteger &	yP,
		const tUInteger &	zP,
		const tUInteger &	Nx,
		const tUInteger &	Ny,
		const tUInteger &	Nz,
		const tBoolean	isPeriodic[3],
		const CORE_UIndexMorseArray &	neighborIndices,
		const tDimension &	dim,
		const tUIndex &	iCell,
		const tReal *	Ui,
		const tLimitCondition *	lc,
		const tLimitCondition &	LCp,
		tReal *	Up
	)

inlinestaticinherited

References EMM_DisplacementFVM_Interpolator::interpolateUAtVertex(), and null.

Referenced by EMM_DisplacementFVM_SSGROperator::computeGradAlmostNullUAtFaceByStokesIntegration().

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◆ interpolateUAtEdge()

void EMM_DisplacementFVM_Interpolator::interpolateUAtEdge	(	const tBoolean &	withConstraints,
		const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean *	periodicity,
		const tDimension &	dim,
		const tUCInt &	l,
		const tUCInt &	r,
		const tReal *	Ucells,
		const tReal *	Uc,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		const tUIndex *	Nc,
		const CORE_UIndexMorseArray &	neighbors,
		tReal *	iUc,
		const tReal *&	iU
	)		const

inherited

interpolate U at edge

Parameters

[in]	withConstraints	: true if there is a dirichlet constraint on edge
[in]	xCell	index of the segment of cell in the x-direction within [0,Nx[ to compute the mean of U
[in]	yCell	index of the segment of cell in the y-direction within [0,Ny[ to compute the mean of U
[in]	zCell	index of the segment of cell in the z-direction within [0,Nz[ to compute the mean of U
[in]	Px	: number of points in x-direction
[in]	Py	: number of points in y-direction
[in]	Pz	: number of points in z-direction
[in]	periodicity	: periodicity of the mesh
[in]	dim	: dimension of each point of U
[in]	l	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	r	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	Ucells	U at all cells
[in]	Uc	U at all cell (xCell,yCell,zCell)
[in]	lc	limit condition on points
[in]	incU0	: size of incement of U at Dirichlet Points (0: if constant)
[in]	U0	values of U at all points (especialy dirichlet points)
[in]	Nc	neighbors cell index of the cell (xCell,yCell,zCell)
[in]	neighbors	neighbors cell index of the all cells
[out]	iUc	: a working array pf size 3
[out]	iU	: a pointer to the interpolation of U where can be iUc or another values

Returns: false if U is null

Computes the mean of U at the edge using the values of U over all the cells connected to the edge.

References EMM_DisplacementFVM_Interpolator::DIRICHLET_FACE, EMM_DisplacementFVM_Interpolator::edgeMean(), EMM_Object::NULL_VALUE, tDimension, tReal, tUCInt, tUIndex, and EMM_Grid3D::UNMAGNETIZED_ELEMENT.

Referenced by computeGradUAtFaceByTaylorExpansion(), and EMM_DisplacementFVM_Interpolator::interpolateUAtVertices().

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◆ interpolateUAtFace()

static void EMM_DisplacementFVM_Interpolator::interpolateUAtFace	(	const tUInteger &	xCell,
		const tUInteger &	yCell,
		const tUInteger &	zCell,
		const tUInteger &	Px,
		const tUInteger &	Py,
		const tUInteger &	Pz,
		const tBoolean	periodicity[3],
		const CORE_UIndexMorseArray &	neighborsIndices,
		const tUCInt &	f,
		const tDimension &	dim,
		const tReal *	Ucells,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		tReal *	Umean
	)

inlinestaticinherited

compute interpolation of U at Face

Parameters

[in]	xCell	index of the segment of cell in the x-direction within [0,Px-1[
[in]	yCell	index of the segment of cell in the y-direction within [0,Py-1[
[in]	zCell	index of the segment of cell in the z-direction within [0,Pz-1[
[in]	Px	: number of points in the direction x
[in]	Py	: number of points in the direction y
[in]	Pz	: number of points in the direction z
[in]	periodicity	: periodicty of the domain per direction
[in]	neighborsIndices	:indices of the neighbor of each cell
[in]	f	face index in [0,FACES_NUMBER_PER_ELEMENT[
[in]	dim	: dimension of each point of U
[in]	Ucells	values of U at all cells
[in]	lc	limit condition on all points of the mesh
[in]	incU0	increment for U0 (0: for constant U0, 1:for not uniform U0)
[in]	U0	values of U0 of size dim when incU0=0 or dim x Px x Py x Pz
[out]	Umean	: mean of U on cell

Returns: false if U is null

commpute the mean of U over the face f on the cell at segment indices xcell,yCell,zCell into Um

$U_{mean} = \frac{1}{4} \sum_{i=0}^{i=3} U[iP]$ with iP is the point of the face

References null.

Referenced by EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation(), and EMM_DisplacementFVM_Interpolator::interpolateAlmostNullUAtFace().

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◆ interpolateUAtVertex()

static void EMM_DisplacementFVM_Interpolator::interpolateUAtVertex	(	tUInteger	xP,
		tUInteger	yP,
		tUInteger	zP,
		const tUInteger &	Nx,
		const tUInteger &	Ny,
		const tUInteger &	Nz,
		const tBoolean	isPeriodic[3],
		const CORE_UIndexMorseArray &	neighborIndices,
		const tDimension &	dim,
		const tReal *	Ucells,
		const tLimitCondition *	lc,
		const tBoolean &	incU0,
		const tReal *	U0,
		const tLimitCondition &	LCp,
		tReal *	Up
	)

inlinestaticinherited

References EMM_DisplacementFVM_Interpolator::interpolateUAtVertex(), and null.

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◆ interpolateUAtVertices() [1/2]

static void EMM_DisplacementFVM_Interpolator::interpolateUAtVertices	(	const tBoolean &	withDirichletPoints,
		const tUInteger	N[3],
		const tBoolean	isPeriodic[3],
		const CORE_UIndexMorseArray &	neighborIndices,
		const EMM_RealField &	Ucells,
		const EMM_LimitConditionArray &	limitConditionOnPoints,
		const EMM_RealField &	U0,
		EMM_RealField &	Up
	)

inlinestaticinherited

References EMM_DisplacementFVM_Interpolator::edgeMean(), EMM_RealField::getDimension(), EMM_RealField::getSize(), EMM_RealField::getValues(), EMM_DisplacementFVM_Interpolator::interpolateUAtEdge(), tBoolean, tDimension, tLimitCondition, tReal, tUCInt, tUIndex, and tUInteger.

Referenced by EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), EMM_DisplacementFVM_VIGROperator::computeElasticTensor(), and EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver().

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◆ interpolateUAtVertices() [2/2]

void EMM_DisplacementFVM_Interpolator::interpolateUAtVertices	(	const tBoolean &	withDirichletPoints,
		const tUInteger	N[3],
		const tBoolean	isPeriodic[3],
		const CORE_UIndexMorseArray &	neighborIndices,
		const tUIndex &	nCells,
		const tDimension &	dim,
		const tReal *	U,
		const EMM_LimitConditionArray &	limitConditionOnPoints,
		const EMM_RealField &	U0,
		EMM_RealField &	Up
	)

staticinherited

References CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_RealField::getValues(), EMM_DisplacementFVM_Interpolator::interpolateUAtVertex(), null, EMM_Object::NULL_VALUE, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED, EMM_RealField::setDimension(), EMM_RealField::setSize(), tBoolean, tLimitCondition, tReal, tUIndex, and tUInteger.

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◆ is32Architecture()

static tBoolean CORE_Object::is32Architecture ( )

inlinestaticinherited

return true if the machine is a 32 bits machine

Returns: true is the computing is done in a 32 bits machine

References CORE_Object::pointer2String(), CORE_Object::printObjectsInMemory(), and tString.

Referenced by CORE_Test::testType().

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◆ is64Architecture()

static tBoolean CORE_Object::is64Architecture ( )

inlinestaticinherited

return true if the machine is a 64 bits machine

Returns: true is the computing is done in a 64 bits machine

Referenced by EMM_VTK::getVTKType(), and CORE_Test::testType().

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◆ isAffine()

virtual tBoolean EMM_DisplacementOperator::isAffine ( ) const

inlinevirtualinherited

return true if the operator is either constant or linear

Returns: true if the operator is either constant or linear

Implements EMM_Operator.

◆ isCubicVolume()

const tBoolean& EMM_Operator::isCubicVolume ( ) const

inlineinherited

return the true if the element is cubic

Returns: true is all size of the volum is same

References EMM_Operator::mIsCubic.

Referenced by EMM_FullExchangeOperator::discretize(), and EMM_MinimalExchangeOperator::discretize().

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◆ isDirectionPeriodic()

const tBoolean* EMM_DisplacementFVMOperator::isDirectionPeriodic ( ) const

inlineinherited

get priodic directions

Returns: true if the dierction k is periodic k in [0,3[

References EMM_DisplacementFVMOperator::mPeriodicDirections.

Referenced by EMM_DisplacementFVMOperator::computeElasticStress(), EMM_DisplacementFVM_VIGROperator::computeElasticStressMatrixProduct(), EMM_DisplacementFVM_VIGROperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeElasticTensor(), EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VIGROperator::initializeEquilibriumSolver(), and EMM_DisplacementFVMOperator::setBoundaryFaceTypes().

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◆ isEquilibriumMatrixReconditioned()

const tBoolean& EMM_DisplacementOperator::isEquilibriumMatrixReconditioned ( ) const

inlineinherited

get if the equilibrium matrix is conditioned

Returns: true to recondition the equilibrium matrix

References EMM_DisplacementOperator::mIsEquilibriumMatrixConditioned.

Referenced by EMM_DisplacementFVMOperator::computeEquilibriumMatrixDiagonalConditioner(), and EMM_DisplacementFEMOperator::computeEquilibriumMatrixDiagonalConditioner().

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◆ isEquilibriumState()

tBoolean EMM_DisplacementOperator::isEquilibriumState ( ) const

inlineinherited

Referenced by EMM_DisplacementOperator::backup(), EMM_DisplacementOperator::computeEnergy(), EMM_DisplacementOperator::resetToInitialState(), EMM_DisplacementOperator::restore(), and EMM_DisplacementOperator::updateAtNextTimeStep().

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◆ isFrozenState()

tBoolean EMM_DisplacementOperator::isFrozenState ( ) const

inlineinherited

Referenced by EMM_DisplacementOperator::backup(), and EMM_DisplacementOperator::updateAtNextTimeStep().

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◆ isGhostCellOn()

const tBoolean& EMM_DisplacementFVMOperator::isGhostCellOn ( ) const

inlineinherited

get true to considered ghost cells on boundary faces

Returns: true to consider ghost cells

References EMM_DisplacementFVMOperator::backup(), EMM_DisplacementFVMOperator::mIsGhostCellOn, EMM_DisplacementFVMOperator::restore(), tBoolean, and tString.

Referenced by EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VGROperator::computeGradAlmostNullUAtFace(), EMM_DisplacementFVM_SSGROperator::computeGradAlmostNullUAtFaceByStokesIntegration(), computeGradAlmostNullUAtFaceByTaylorExpansion(), EMM_DisplacementFVM_VTEGROperator::computeGradAlmostNullUAtNextCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VTEGROperator::computeGradUAtCellByTaylorExpansionWithNeumannInterpolation(), EMM_DisplacementFVM_VGROperator::computeGradUAtFace(), EMM_DisplacementFVM_SSGROperator::computeGradUAtFaceByStokesIntegration(), and computeGradUAtFaceByTaylorExpansion().

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◆ isGradientComputationable()

virtual tBoolean EMM_DisplacementOperator::isGradientComputationable ( ) const

inlinevirtualinherited

return true if the gradient of the magnetic excitation is computationable

Returns: true if the the gradient of the magnetic excitation is computationable

Implements EMM_Operator.

◆ isInstanceOf() [1/2]

template<class T >

tBoolean CORE_Object::isInstanceOf ( ) const

inlineinherited

test if the clas T is an instance of this class

Returns: true if the object is an instance of T

References null.

Referenced by MATH_ToeplitzTest::toeplitzTest().

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◆ isInstanceOf() [2/2]

tBoolean CORE_Object::isInstanceOf ( const tString & name ) const

inlineinherited

test if the object is an instance of className

Parameters

name	name of the class

Returns: true if the object is an instance of class Name

References CORE_Object::getIdentityString().

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◆ isMemoryChecked()

static const tBoolean& CORE_Object::isMemoryChecked ( )

inlinestaticinherited

get if the memory checking is used

Returns: true: if the memory checking is used.

References CORE_Object::getClassName(), CORE_Object::mIsMemoryTesting, and tString.

Referenced by main().

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◆ isSteadyState()

tBoolean EMM_DisplacementOperator::isSteadyState ( ) const

inlineinherited

Referenced by EMM_DisplacementOperator::computeFieldsAtTime(), EMM_DisplacementOperator::getDataFieldsNumber(), EMM_DisplacementOperator::getDisplacement(), and EMM_DisplacementOperator::getVelocity().

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◆ NewEquilibriumMatrix()

SP::EMM_BlockEquilibriumMatrix EMM_DisplacementOperator::NewEquilibriumMatrix ( ) const

virtualinherited

create the equilibrium matrix

Returns: the equilibrium matrix

References EMM_DisplacementOperator::getDisplacement(), CORE_Object::getThis(), and EMM_BlockEquilibriumMatrix::New().

Referenced by EMM_DisplacementOperator::initializeEquilibriumSolver(), and EMM_DisplacementOperator::setCFL().

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◆ nullProjectionOnDirichletBoundary() [1/2]

void EMM_DisplacementOperator::nullProjectionOnDirichletBoundary ( EMM_RealField & V ) const

inherited

project the velocity to 0 on dirichlet boundary points

Parameters

V the field

set V=0 on Dirichlet points; V must be defined on points (return an exception if not)

References EMM_RealField::getDimension(), EMM_RealField::getValues(), EMM_RealField::initField(), EMM_DisplacementOperator::mLimitConditionOnPoints, tDimension, tReal, and tUIndex.

Referenced by EMM_DisplacementOperator::getLimitConditionOnPointsByReference(), EMM_DisplacementOperator::projectionOnDirichletBoundary(), EMM_DisplacementOperator::resetToInitialState(), and EMM_DisplacementFEMOperator::spaceProjection().

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◆ nullProjectionOnDirichletBoundary() [2/2]

void EMM_DisplacementOperator::nullProjectionOnDirichletBoundary	(	const tUIndex &	nPoints,
		const tDimension &	dim,
		tReal *	V
	)		const

inherited

project the velocity to 0 on dirichlet boundary points

Parameters

[in]	nPoints	: the number of points
[in]	dim	: the dimension of each point
[in,out]	V	: the values field defined on points

set V=0 on Dirichlet points; V must be defined on points (return an excepion if not)

References EMM_Grid3D::DIRICHLET_LIMIT_CONDITION, EMM_DisplacementOperator::getLimitConditionOnPoints(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, tLimitCondition, tReal, tUIndex, and tUInteger.

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◆ out()

static CORE_Out& CORE_Object::out ( )

inlinestaticinherited

get the output

Returns: the output stream

Referenced by EMM_Matter::adimensionize(), EMM_DisplacementFVMOperator::backup(), EMM_DisplacementOperator::backup(), MATH_ElementaryMultiLevelsToeplitzMatrix::buildSpectralVectorProjector(), EMM_Test::caseTest(), EMM_Test::caseTests(), EMM_MatterField::computeAnisotropyDirectionsField(), EMM_OptimalTimeStep::computeOptimalTimeStep(), MATH_MultiLevelsToeplitzMatrix::copy(), CORE_Exception::CORE_Exception(), EMM_MatterField::createAnisotropyOperator(), CORE_Run::createIO(), EMM_ElementaryTest::defaultBackupTest(), EMM_ElementaryTest::defaultTest(), MATH_MultiLevelsFFTToeplitzMatrix::diagonalize(), EMM_DisplacementFVMOperator::discretize(), EMM_MagnetostrictionOperator::discretize(), EMM_DisplacementFEMOperator::discretize(), EMM_4SymmetricTensors::doubleDot(), EMM_4Tensors::doubleDotCrossDoubleDotScalar(), EMM_TensorsTest::doubleDotCrossDoubleDotScalarTests(), EMM_4Tensors::doubleDotCrossProduct(), EMM_TensorsTest::doubleDotCrossProductTests(), EMM_4Tensors::doubleDotCrossSquaredScalar(), EMM_TensorsTest::doubleDotCrossSquaredScalarTests(), EMM_4Tensors::doubleDotProduct(), EMM_TensorsTest::doubleDotProductTests(), EMM_DisplacementWaveTest::elasticWaveTest(), EMM_Test::elementaryTests(), FFTW_Test::fftwTutorial(), MATH_IntegrationTest::gaussLegendreTest(), EMM_MagnetostrictionTest::HComputingTest(), EMM_DemagnetizedPeriodicalTest::HTest(), EMMH_HysteresisTest::hysteresisDefaultCycleTest(), EMM_TensorsTest::initializationTests(), EMM_MultiScaleGrid::initialize(), EMM_MultiScaleSDGrid::initialize(), EMM_MatterField::loadFromANIFile(), EMM_AnisotropyDirectionsField::loadFromFile(), EMM_Matter::loadFromFile(), EMM_Grid3D::loadFromGEOFile(), EMM_MatterField::loadFromLOCFile(), EMM_Array< tCellFlag >::loadFromStream(), EMM_Matter::loadFromStream(), EMM_Matter::loadMattersFromFile(), EMM_Run::loadSystemFromOptions(), EMM_ElementaryTest::magnetostrictionBackupTest(), CORE_Run::make(), EMMH_Run::makeHysteresis(), EMM_Run::makeRun(), CORE_Run::makeType(), EMM_ElementaryTest::optionsTest(), MATH_PolynomialTest::P4Tests(), EMM_Test::primaryTests(), EMM_LandauLifschitzSystem::printLog(), CORE_Run::printOptions(), EMM_2PackedSymmetricTensors::product(), EMMG_SLDemagnetizedOperator::projectionOnSpectralSpace(), CORE_Run::readOptionsFromCommandLine(), CORE_Test::readVectorTest(), EMM_DemagnetizedPeriodicalTest::relaxationTest(), EMM_DisplacementFVMOperator::restore(), EMM_DisplacementOperator::restore(), EMM_Input::restoreBackup(), EMMH_Hysteresis::run(), EMM_Output::save(), EMM_AnisotropyDirectionsField::saveToFile(), EMM_MatterField::saveToFile(), EMM_Grid3D::saveToGEOFile(), CORE_IOTest::searchTest(), EMMH_Hysteresis::setInitialMagnetizationField(), MATH_MultiLevelsToeplitzMatrix::setLevels(), EMM_4SymmetricTensors::squaredDoubleDot(), EMM_4Tensors::squaredDoubleDotCrossScalar(), EMM_TensorsTest::squaredDoubleDotCrossScalarTests(), EMM_4Tensors::squaredDoubleDotScalar(), EMM_TensorsTest::squaredDoubleDotScalarTests(), EMM_TensorsTest::squaredDoubleDotTests(), EMM_MatterTest::testAdimensionize(), EMM_MatterTest::testANIFile(), CORE_Test::testComplex(), CORE_Test::testDateWeek(), FFTW_Test::testDFT(), EMM_MatterTest::testIO(), EMM_ODETest::testODE(), CORE_Test::testOut(), CORE_Test::testReal(), EMM_FieldTest::testRealArray(), EMM_Grid3DTest::testSegment(), EMM_Grid3DTest::testThinSheet(), CORE_Test::testTime(), CORE_Test::testType(), MATH_FullMatrix::toString(), EMM_DemagnetizedPeriodicalTest::xyPeriodicalCubeSDGTest(), and EMM_DemagnetizedPeriodicalTest::xyPeriodicalSheetSDGTest().

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◆ periodicProjection()

void EMM_DisplacementOperator::periodicProjection	(	const tCellFlag &	periodicity,
		const tUInteger	nPoints[3],
		EMM_RealField &	V
	)		const

inherited

make the periodic projection of the field V

Parameters

periodicity	:: periodcidcity projection
nPoints	number of points of each direction
V	field to project

V at slave point is set to V at master point

References EMM_Grid3D::GET_MASTER_PERIODIC_POINT(), EMM_RealField::getDimension(), EMM_DisplacementOperator::getLimitConditionOnPoints(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), EMM_RealField::getValues(), null, OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, EMM_Grid3D::SLAVE_LIMIT_CONDITION, tDimension, tLimitCondition, CORE_Integer::toString(), tReal, tUIndex, and tUInteger.

Referenced by EMM_DisplacementOperator::getLimitConditionOnPointsByReference(), EMM_DisplacementOperator::resetToInitialState(), and EMM_DisplacementFEMOperator::spaceRelevant().

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◆ pointer2String()

tString CORE_Object::pointer2String ( const void * obj )

staticinherited

return the string representation of a pointer

Parameters

obj	: oject to get the string pointer

Returns: the string pointer of the object

References tString.

Referenced by CORE_Object::CORE_Object(), CORE_Object::getIdentityString(), CORE_Object::getPointerAddress(), CORE_Object::is32Architecture(), and CORE_Object::~CORE_Object().

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◆ printObjectsInMemory() [1/2]

void CORE_Object::printObjectsInMemory ( ostream & f )

staticinherited

print object in memory

Parameters

f	: output to print the objects in memory

References CORE_Object::getIdentityString(), CORE_Object::getSharedPointer(), CORE_Object::mIsMemoryTesting, CORE_Object::mObjects, and tInteger.

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◆ printObjectsInMemory() [2/2]

static void CORE_Object::printObjectsInMemory ( )

inlinestaticinherited

print object in memory in the standart output

Referenced by CORE_Object::is32Architecture(), and main().

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◆ projectionOnDirichletBoundary() [1/2]

void EMM_DisplacementOperator::projectionOnDirichletBoundary	(	const EMM_RealField &	V0,
		EMM_RealField &	V
	)		const

inherited

project the velocity to 0 on dirichlet boundary points

Parameters

[in]	V0	the field value on dirichlet points
[out]	V	the field

set V=V0 on Dirichlet points; V must be defined on points (return an excepion if not)

References EMM_RealField::getDimension(), EMM_RealField::getSize(), EMM_RealField::getValues(), EMM_RealField::initField(), EMM_DisplacementOperator::mLimitConditionOnPoints, null, EMM_DisplacementOperator::nullProjectionOnDirichletBoundary(), tBoolean, tDimension, tReal, and tUIndex.

Referenced by EMM_DisplacementOperator::getLimitConditionOnPointsByReference(), and EMM_DisplacementFEMOperator::spaceProjection().

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◆ projectionOnDirichletBoundary() [2/2]

void EMM_DisplacementOperator::projectionOnDirichletBoundary	(	const tUIndex &	nPoints,
		const tDimension &	dim,
		const tBoolean &	incV0,
		const tReal *	V0,
		tReal *	V
	)		const

inherited

project the velocity to 0 on dirichlet boundary points

Parameters

[in]	nPoints	the number of points
[in]	dim	the dimension of each point
[in]	incV0	increment (either 0 or 1) of the values field on dirichlet points
[in]	V0	the values field on dirichlet points of size >=3
[in,out]	V	the values field defined on points

set V=V0 on Dirichlet points; V must be defined on points (return an excepion if not)

References EMM_Grid3D::DIRICHLET_LIMIT_CONDITION, EMM_DisplacementOperator::getLimitConditionOnPoints(), CORE_Object::getThread(), CORE_Thread::getThreadsNumber(), OMP_GET_THREAD_ID, OMP_PARALLEL_PRIVATE_SHARED_DEFAULT, tDimension, tLimitCondition, tReal, tUIndex, and tUInteger.

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◆ resetOut()

static void CORE_Object::resetOut ( )

inlinestaticinherited

reset the output stream

Referenced by run().

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◆ resetThread()

static void CORE_Object::resetThread ( )

inlinestaticinherited

reset the output stream

Referenced by run().

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◆ resetToInitialState()

tBoolean EMM_DisplacementFVMOperator::resetToInitialState ( const EMM_LandauLifschitzSystem & system )

virtualinherited

reset the operator to initial step

Parameters

system the data to initialize the operator

Returns

true if it succeeds

call EMM_DisplacementOperator::resetToInitialStep()
project U & V on centered cells
recompute the accelerator vector at time 0

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementOperator::getDisplacement(), EMM_LandauLifschitzSystem::getMagnetizationField(), EMM_LandauLifschitzSystem::getMesh(), EMM_LandauLifschitzSystem::getSigma(), EMM_DisplacementOperator::getVelocity(), EMM_RealField::pointDataToCellData(), EMM_DisplacementOperator::resetToInitialState(), tBoolean, and EMM_DisplacementOperator::updateAtNextTimeStep().

Referenced by EMM_DisplacementFVMOperator::getDisplacementOnDirichletBoundary().

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◆ restore()

tBoolean EMM_DisplacementFVMOperator::restore	(	const EMM_LandauLifschitzSystem &	system,
		const tString &	prefix,
		const tString &	suffix,
		const tString &	ext
	)

virtualinherited

restore the operator data from file(s)

Parameters

system	general datat of system to restore the backup
prefix	: common prefix of the saving files
suffix	: common suffix of the saving files
ext	: common extension of the saving files

Returns: if the restoring of the displacament & velocity field have succeeds

It calls EMM_DisplacementOperator::restore() method
It restores the U at the dirichlet boundary

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementFVMOperator::mU0, CORE_Object::out(), CORE_Out::println(), EMM_DisplacementOperator::restore(), tBoolean, and tString.

Referenced by EMM_DisplacementFVMOperator::isGhostCellOn().

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◆ setCFL()

void EMM_DisplacementOperator::setCFL ( const tReal & cfl )

inlineinherited

set the cfl for computing the initial time step

Parameters

cfl	initial time step

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◆ setConstraints() [1/4]

void EMM_DisplacementOperator::setConstraints	(	const tFlag &	C,
		const tString &	dataFile
	)

inlineinherited

set constraints from file defined on points

Parameters

C	constraints faces in bit : $C=\sum_{f=0}^5 C_f 2^f$ if face f is constrainted
dataFile	: file which contains the constraints field defined on points

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setConstraints() [2/4]

void EMM_DisplacementOperator::setConstraints	(	const tFlag &	C,
		const tReal	data[3]
	)

inlineinherited

set constraints field

Parameters

C	constraint faces in bit : $C=\sum_{f=0}^5 C_f 2^f$ if face f is constrainted
data	: uniform data for constraints

References EMM_RealField::setValue().

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◆ setConstraints() [3/4]

void EMM_DisplacementOperator::setConstraints	(	const tFlag &	C,
		const tReal &	C0,
		const tReal &	C1,
		const tReal &	C2
	)

inlineinherited

set initial constriants field

Parameters

C	constraint faces in bit : $C=\sum_{f=0}^5 C_f 2^f$ if face f is constrainted
C0	x-coordinate of constraint
C1	y-coordinate of constraint
C2	z-coordinate of constraint

References EMM_RealField::initField().

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◆ setConstraints() [4/4]

void EMM_DisplacementOperator::setConstraints	(	const tFlag &	C,
		const EMM_RealField &	data
	)

inlineinherited

set constraints

Parameters

C	constraint faces in bit : $C=\sum_{f=0}^5 C_f 2^f$ if face f is constrainted
data	constraints field

◆ setDisplacement() [1/2]

void EMM_DisplacementOperator::setDisplacement ( const EMM_RealField & u )

inlineinherited

set the displacement field

Parameters

u	: is the displacement field defined ob points

◆ setDisplacement() [2/2]

void EMM_DisplacementOperator::setDisplacement	(	const tReal &	Ux,
		const tReal &	Uy,
		const tReal &	Uz
	)

inlineinherited

set the displacement field to an uniform vector defied on points

Parameters

Ux	uniform value of the field on the x-direction
Uy	uniform value of the field on the y-direction
Uz	uniform value of the field on the z-direction

◆ setElasticityState()

void EMM_DisplacementOperator::setElasticityState ( const tFlag & v )

inlineinherited

set the elasticity state

Parameters

v	the elasticity state eithet equilibrium \| steady \| unsteady

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setInitialDisplacement() [1/4]

void EMM_DisplacementOperator::setInitialDisplacement	(	const tReal &	scale,
		const tString &	dataFile
	)

inlineinherited

set initial displacement field.

Parameters

scale	: the scale factor of the file
dataFile	: file which contains the displacement field defined on points

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setInitialDisplacement() [2/4]

void EMM_DisplacementOperator::setInitialDisplacement ( const tReal data[3] )

inlineinherited

set initial displacement field

Parameters

data	: uniform data for displacement

References EMM_RealField::setValue().

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◆ setInitialDisplacement() [3/4]

void EMM_DisplacementOperator::setInitialDisplacement	(	const tReal	U0,
		const tReal &	U1,
		const tReal &	U2
	)

inlineinherited

set initial displacement field

Parameters

U0	x-coordinate of displacement
U1	y-coordinate of displacement
U2	z-coordinate of displacement

References EMM_RealField::initField().

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◆ setInitialDisplacement() [4/4]

void EMM_DisplacementOperator::setInitialDisplacement ( const EMM_RealField & data )

inlineinherited

set initial displacement field

Parameters

data	: data for displacement

◆ setInitialVelocity() [1/4]

void EMM_DisplacementOperator::setInitialVelocity	(	const tReal &	scale,
		const tString &	dataFile
	)

inlineinherited

set initial velocity field

Parameters

scale	scale of the file
dataFile	: file which contains the velocity field defined on points

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setInitialVelocity() [2/4]

void EMM_DisplacementOperator::setInitialVelocity ( const EMM_RealField & data )

inlineinherited

set initial velocity field

Parameters

data	velocity field

◆ setInitialVelocity() [3/4]

void EMM_DisplacementOperator::setInitialVelocity ( const tReal data[3] )

inlineinherited

set initial velocity field

Parameters

data	: uniform data for velocity

References EMM_RealField::setValue().

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◆ setInitialVelocity() [4/4]

void EMM_DisplacementOperator::setInitialVelocity	(	const tReal &	V0,
		const tReal &	V1,
		const tReal &	V2
	)

inlineinherited

set initial velocity field

Parameters

V0	x-coordinate of velocity
V1	y-coordinate of velocity
V2	z-coordinate of velocity

References EMM_RealField::initField().

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◆ setIsEquilibriumMatrixReconditioned()

void EMM_DisplacementOperator::setIsEquilibriumMatrixReconditioned ( const tBoolean & c )

inlineinherited

set to true if the equilibrium matrix is conditioned

Parameters

c	true to recondition the equilibrium matrix

◆ setIsGhostCellOn()

void EMM_DisplacementFVMOperator::setIsGhostCellOn ( const tBoolean & isOn )

inlineinherited

set true to considered ghost cells on boundary faces

Parameters

isOn	true to consider ghost cells

◆ setIsMemoryChecked()

static void CORE_Object::setIsMemoryChecked ( const tBoolean & v )

inlinestaticinherited

set if the memory checking is used

Parameters

v	: true to check memory

Referenced by main().

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◆ setLimitConditionOnPoints() [1/2]

void EMM_DisplacementOperator::setLimitConditionOnPoints ( const EMM_IntArray & lc )

inlineinherited

set the limit condition each point is set to

Parameters

lc	the limit condition value for all points of the mesh. Interior point are ignored (0) NO_LIMIT_CONDITION for all interior points or not magnetized point DIRICHLET_LIMIT_CONDITION for all points on Dirichlet boundary NEUMANN_LIMIT_CONDITION for all points on Neumann boundary

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setLimitConditionOnPoints() [2/2]

void EMM_DisplacementOperator::setLimitConditionOnPoints ( const tLimitCondition & lc )

inlineinherited

set the limit condition to all points

Parameters

lc	the limit condition value for all points of the mesh. Interiror point are ignored (0) NO_LIMIT_CONDITION for all interior points or not magnetized point DIRICHLET_LIMIT_CONDITION for all points on Dirichlet boundary NEUMANN_LIMIT_CONDITION for all points on Neumann boundary

◆ setOut()

static void CORE_Object::setOut ( SP::CORE_Out out )

inlinestaticinherited

set the output stream

Parameters

out	: the shared pointer to the new output stream

References null.

◆ setSolver() [1/2]

void EMM_DisplacementFVMOperator::setSolver ( const tString & solverName )

virtualinherited

set the solver

Parameters

solverName

name of the solver which can be either :

CG or
biCGStab or
empty

If empty biCGStab is used only for FVM displacement with equilibrium state

Reimplemented from EMM_DisplacementOperator.

References EMM_DisplacementOperator::setSolver(), and tString.

Referenced by EMM_DisplacementFVMOperator::spaceRelevant().

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◆ setSolver() [2/2]

void EMM_DisplacementOperator::setSolver ( SP::MATH_Solver solver )

inlineinherited

set the solver

Parameters

solver : the solver

◆ setThis()

void CORE_Object::setThis ( SP::CORE_Object p )

inlineprotectedinherited

set this weak shared pointer called toDoAfterThis setting method

Parameters

p	: shared pointer of the class This

References CORE_Object::toDoAfterThisSetting().

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◆ setThread()

static void CORE_Object::setThread ( SP::CORE_Thread thread )

inlinestaticinherited

set the thread

Parameters

thread the shared pointer to the thread

References null.

Referenced by EMM_Run::EMM_Run(), EMM_TensorsRun::EMM_TensorsRun(), and MATH_SolverRun::MATH_SolverRun().

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◆ setTimeIntegrationMethod()

void EMM_DisplacementOperator::setTimeIntegrationMethod ( const tFlag & m )

inlineinherited

set the time integration method for new field

Parameters

m	integration method in P1 \| TE

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setTimeIntegrationOrder()

void EMM_DisplacementOperator::setTimeIntegrationOrder ( const tInt & o )

inlineinherited

set the time integration order for new field

Parameters

o	integration ordre in {1,2}

Referenced by EMMG_ClassFactory::NewInstance().

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◆ setVelocity() [1/2]

void EMM_DisplacementOperator::setVelocity ( const EMM_RealField & v )

inlineinherited

set the velocity of dicplacement defined on points

Parameters

v	: is the displacement velocity field

◆ setVelocity() [2/2]

void EMM_DisplacementOperator::setVelocity	(	const tReal &	Vx,
		const tReal &	Vy,
		const tReal &	Vz
	)

inlineinherited

set the displacement velocity field to an uniform vector defined on points

Parameters

Vx	uniform value of the field on the x-direction
Vy	uniform value of the field on the y-direction
Vz	uniform value of the field on the z-direction

◆ solveAcceleratorSystem()

virtual tBoolean EMM_DisplacementFVMOperator::solveAcceleratorSystem ( EMM_RealField & V )

inlineprotectedvirtualinherited

solve the velocity from the mass matrix : M.X=V V:=X

Parameters

V	input : the stress output : the velocity

Returns: true if the solving succeeds

Do nothing because for the FVM method, the mass matrix is identity

Implements EMM_DisplacementOperator.

◆ SP_OBJECT()

EMM_DisplacementFVM_STEGROperator::SP_OBJECT ( EMM_DisplacementFVM_STEGROperator )

private

◆ spaceProjection() [1/3]

virtual void EMM_DisplacementFVMOperator::spaceProjection ( EMM_RealField & V ) const

inlineprotectedvirtualinherited

make the projection of the vector B into the solving linear space

Parameters

[out] V field to project in linear solving space

It is used in the constraint stress computing method EMM_DisplacementOperator::computeAccelerator()

Do nothing because there is no dirichlet points within FVM methods

Implements EMM_DisplacementOperator.

◆ spaceProjection() [2/3]

virtual void EMM_DisplacementFVMOperator::spaceProjection	(	const EMM_RealField &	V0,
		EMM_RealField &	V
	)		const

inlineprotectedvirtualinherited

make the projection of the vector B into the solving linear space

Parameters

[in]	V0	: orthogonal vector of the linear solving space
[out]	V	: field to project in linear solving space

It is used in the constraint stress computing method EMM_DisplacementOperator::computeAccelerator()

Do nothing because there is no dirichlet points within FVM methods

Implements EMM_DisplacementOperator.

◆ spaceProjection() [3/3]

virtual void EMM_DisplacementFVMOperator::spaceProjection	(	const tUIndex &	nPoints,
		const tDimension &	dim,
		const tReal *	V0,
		tReal *	V
	)		const

inlinevirtualinherited

make the projection of the vector B into the solving linear space

Parameters

[in]	nPoints	number of points
[in]	dim	dimension of each points
[in]	V0	values of the orthognal space of the linear solving sapce
[in,out]	V	values of the field to project in linear solving space It is used in the constraint stress computing method EMM_BlockEquilibriumMatrix::product()