G.-H.
Cottet's publications
(for a more complete list, citations and bibtex
entries click
here)
G.-H. Cottet WENO semi-lagrangian particle methods,
preprint, 2023. pdf file
S. Santoso, J.-B. Lagaert, G. Balarac and G.-H. Cottet An hybrid particle/grid method for the study of differential diffusion,
Computers and Fluids, 227, 2021.
https://doi.org/10.1016/j.compfluid.2021.10501. pdf
file
J.-B. Keck, G.-H. Cottet, E. Meiburg, I. Mortazavi and C. Picard Double-diffusive sedimentation at high Schmidt numbers: Semi-Lagrangian simulations,
Physical Review Fluids,6, 2021. pdf
file
G.-H. Cottet, E. Maitre et T. Milcent Méthodes Level Set pour l'interaction fluide-structure , Springer Verlag, 2021.
G.-H. Cottet Semi-Lagrangian particles or 6D Vlasov on single core
, Workshop on Méthodes numériques pour les plasmas, Marseille, November 2018. pdf
file
G.-H. Cottet Semi-Lagrangian particle methods for
high-dimensional Vlasov-Poisson systems, Journal of Computational Physics, 365, 362-375, 2018. pdf
file
C. Mimeau, I. Mortazavi and G.-H. Cottet Passive control of the flow around a hemisphere using porous media, European Journal of Mechanics-B/Fluids, 65, 213-226, 2017. pdf
file
G.-H. Cottet High order semi-lagrangian particle methods, International Conference on High Order and Spectral Methods (ICOSAHOM 2016), June 2016, Rio de Janeiro, Brasil. pdf
file
G.-H. Cottet Semi-lagrangian particle methods for hyperbolic equations, XVI International Conference on Hyperbolic Problems (HYP 2016), Aug 2016, Aix-la-Chapelle, Germany. pdf
file
C. Mimeau, G.-H. Cottet and I. Mortazavi Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method, Computers and Fluids (2016), pp. 331-347. pdf
file
G.-H. Cottet and E. Maitre A semi-implicit level set method for multiphase flows and fluid-structure interaction problems, Journal of Computational Physics (2016), pp. 80-92. pdf
file
C. Mimeau, F. Gallizio, G.-H. Cottet and I. Mortazavi Vortex penalization method for bluff body flows, International Journal of Numerical Methods in Fluids, 79, 55-83, 2015. pdf
file
C. Mimeau, I. Mortazavi and G.-H. Cottet, Passive flow control around a semi-circular cylinder using porous coatings, International Journal of Flow Control, 6, 43-50, 2014. pdf
file
G.-H. Cottet, J.-M. Etancelin, F. Perignon and C. Picard, High order Semi-Lagrangian particles for transport equations:
numerical analysis and implementation issues, ESAIM: Mathematical Modelling and Numerical Analysis, 48, 1029-1060, 2014. doi, pdf
file
J.-M. Etancelin, G.-H. Cottet, F. Perignon and C. Picard, Multi-CPU and multi-GPU hybrid computations of multi-scale scalar transport, 26th International Conference on Parallel Computational Fluid Dynamics, 2014, Trondheim, abstract
G. Balarac, G.-H. Cottet, J.-M Etancelin, J.-B. Lagaert, F. Perignon, C. Picard,
Multi-scale problems, high performance computing and hybrid numerical methods,
Proceedings of Forum "Math-for-Industry" 2013, Springer Verlag, (11p.) 2014. pdf file
J.-B. Lagaert, G. Balarac and G.-H. Cottet, Hybrid spectral particle method for the turbulent transport of a passive scalar, J. Comp. Phys., 260, 127-142, 2014. pdf
file
J.-B. Lagaert, G. Balarac and G.-H. Cottet, Particle method: an efficient tool for direct numerical simulations of a high Schmidt number passive scalar in turbulent flow, Proceedings of the Summer Program, Center of Turbulence Research, Stanford, 167-176, 2012. pdf
file
A. Magni and G.-H. Cottet, Accurate, non-oscillatory remeshing
schemes for particle methods, J. Comput. Phys., 231 (1),
152–172, 2012. pdf
file
J. Rasmussen, G.-H. Cottet and J. Walther, A multiresolution remeshed Vortex-In-Cell algorithm using patches, J. Comput. Phys., 230, 6742–6755, 2011. pdf file
C. Bost, G.-H. Cottet and E. Maitre, Convergence
analysis of a penalization method for the three-dimensional motion of a
rigid body in an incompressible viscous fluid, SIAM J.
Num. Anal., 48(4), 1313-1337, 2010. pdf
file
D. Rossinelli, M. Bergdorf, G.-H. Cottet and P. Koumoutsakos, GPU accelerated simulations of bluff body
flows using vortex methods, J. Comput. Phys., 229 (9),
3316–3333, 2010. pdf
file
G.-H. Cottet, G. Balarac and M. Coquerelle, Subgrid
particle resolution for the turbulent transport of a passive scalar,
Advances in Turbulence XII, Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany, Eckhardt, Bruno (Ed.), Springer Proceedings in Physics, Vol. 132, 779-782, 2009.
pdf
file
G.-H. Cottet and A. Magni, TVD
remeshing schemes for particle methods,
C. R. Acad. Sci. Paris, Ser. I, 347 (2009). pdf
file
P. Koumoutsakos, G.-H. Cottet and D.
Rossinelli, Flow Simulations using
particles
- Bridging Computer Graphics and CFD,
Lecture Notes, SIGGRAPH 2008, Los Angeles, August 2008.
pdf file
(46Mb)
and class
presentations.
M. Coquerelle and G.-H. Cottet, A
vortex level set method for the two-way coupling of an incompressible
fluid with colliding rigid bodies,
J. Comp. Phys., 227,
9121-9137, 2008. pdf file
E. Maitre, T. Milcent, G.-H. Cottet, A.
Raoult
and Y. Usson, Applications of
level set methods in computational biophysics, Math. &
Computer Modelling, 2008. pdf file
G.-H. Cottet, E. Maitre and T. Milcent, Eulerian formulation and level set models
for incompressible fluid-structure interaction, M2AN (42) 2008,
471-492. pdf file
P. Poncet, R. Hildebrand, G.-H. Cottet and P. Koumoutsakos, Spatially distributed control for optimal drag reduction of the flow past a circular cylinder, J. Fluid Mech., 599, 111-120, 2008. pdf file
P Chatelain, G.-H. Cottet and P. Koumoutsakos, Particle-mesh hydrodynamics and astrophysics simulations, International Journal of Modern Physics C, 18, 610-618, 2007. pdf file
M. Coquerelle, J. Allard, G.-H. Cottet and
M.-P.
Cani, A vortex method for bi-phasic fluids
interacting with rigid bodies,
Arxiv preprint math. NA/060759, 2006.
https://hal.ccsd.cnrs.fr/ccsd-00087126
G.-H. Cottet and L. Weynans, Particle
methods revisited: a class of high-order finite-difference schemes,
C. R. Acad.
Sci.
Paris, Ser. I 343, 51-56, 2006. pdf
file
G.-H. Cottet and E. Maitre , A level set method for fluid-structure interactions with immersed surfaces, Mathematical Models and Methods in the Applied Sciences, 16, 415-438, 2006. pdf file
G.-H. Cottet, E. Maitre and T. Milcent, An
Eulerian method for fluid-structure interaction with biophysical
applications, ECCOMAS
CFD Conference, 2006. pdf
file
P. Poncet, G.-H. Cottet and P. Koumoutsakos, Control of three-dimensional wakes using evolution strategies, C. R. Mecanique 333 (2005), 65-77, 2005. pdf file
M. Bergdorf, G.-H. Cottet and P.
Koumoutsakos,
Multilevel Adaptive Particle Methods for Convection-Diffusion Equations,
SIAM Multiscale Modeling and Simulation, 4,
328-357, 2005. pdf
file
G.-H. Cottet and E. Maitre, A
level-set formulation of immersed boundary methods for fluid-structure
interaction
problems, C. R. Acad.
Sci.
Paris, Ser. I 338, 581-586, 2004.
pdf
file( 176 Ko)
G.-H. Cottet and P. Poncet, Advances
in direct numerical simulations of 3D wall-bounded flows by
Vortex-in-Cell methods,
J. Comp. Phys., 193, 136-158, 2004. pdf
file
G.-H. Cottet and P. Poncet, Simulation
and
control of three-dimensional wakes, Computers and
fluids, 33, 97-713, 2004. pdf
file
G.-H. Cottet, Multi-physics and particle methods, in Computational Fluid and Solid Mechanics, 1296-8, Elsevier, 2003. pdf file
G.-H. Cottet, Particle methods for
CFD,
Lecture notes for Summer school "Advances for CFD
for industrial and
geophysical turbulence", Autrans 2003. pdf
file
C. Albuquerque and G.-H. Cottet, Coupling
finite difference methods and integral formulas for elliptic problems
arising in fluid mechanics,
Numerical methods for PDE, 20, 199-229, 2003. pdf
file
G.-H. Cottet, A particle model for
fluid-structure interaction, C. R. Acad. Sci. Paris, 3,
833-838,
2002. pdf
file
G.-H. Cottet and P. Poncet, Particle methods for direct numerical simulations of three-dimensional wakes, Journal of Turbulence, 3, 2002. pdf file
G.-H. Cottet, D. Jiroveanu and B. Michaux, Vorticity dynamics and turbulence models for large-eddy simulations, M2AN, 37, 187-207, 2003. pdf file
G.-H. Cottet, B. Michaux, S.Ossia and G. Vanderlinden, A comparison of spectral and vortex methods in three-dimensional incompressible flows, J. Comp. Phys, 175, 2002. pdf file
G. Vanderlinden, Simulation de turbulence par methode particulaire , Internal report, LMC-IMAG, 1998. gzipped postscript file
G.-H. Cottet, D. Jiroveanu, and B. Michaux, Simulations des grandes échelles: apsects mathématiques et numériques, In 32e Congres National d'Analyse Numérique, Port d'Albret, Juin 2000, ESAIM: Proceedings, 11, 85-95, 2002. pdf file
G.-H. Cottet, I. Sbalzarini, S. Muller and P. Koumoutsakos, Optimization of trailing vortices by Evolution Strategies, Center for Turbulence Research, Proceedings of the Summer Program, 2000. pdf file
G.-H. Cottet, P. Koumoutsakos and M. Ould-Salihi, Vortex methods with spatially varying cores, J. Comp. Phys., 162, 164-185, 2000. pdf file
M. Ould-Salihi, G.-H. Cottet and M. El
Hamraoui, Blending
finite-difference and vortex methods for incompressible flow
computations , SIAM J. Sci. Comp., 22,
1655-1674, 2000. pdf
file
G.-H. Cottet and P. Koumoutsakos, Vortex methods: theory and practice, Cambridge University Press, 2000.
A. Giovannini, G.-H. Cottet, Y. Gagnon, A.
Ghoniem
and E. Meiburg (eds.), Vortex flows and related numerical methods
III,
ESAIM Proceedings, 7,
1999
http://www.edpsciences.org/articlesproc/Vol.7/index.htm
G.-H. Cottet, 3D Vortex methods:
achievements and challenges , Proceedings of the First
Intl Conf. on vortex
methods, Kobe, Japan, 1999.
gzipped
postscript file ( 480 Ko)
G.-H. Cottet and M. El Ayyadi, A
Volterra type
model for image processing, IEEE Transactions on image
processing, 7, 1998. pdf file
G.-H. Cottet, Neural networks:
continuous
approach and applications to image processing, J. Biological
Systems, 3, 1995. pdf file
G.-H. Cottet and O.V. Vasilyev, Comparison of dynamic Smagorinsky and anisotropic subgrid-scale models, Center for Turbulence Research, Proceedings of the Summer Program 1998, pp 389-397. pdf file
G.-H. Cottet and A.A Wray, Anisotropic grid-based formulas for subgrid-scale models, in Annual Research Briefs,Center for Turbulence Research, Stanford, 1997. pdf file
G.-H. Cottet, Anisotropic subgrid-scale
numerical schemes for Large Eddy Simulations of turbulent flows,
preprint, 1997. pdf
file
G-H. Cottet, Artificial viscosity models for vortex and particle methods, J. Comp. Phys., 127, 1996. pdf file
Y. Gagnon, G.-H. Cottet, D. Dritschel, A.
Ghoniem
and E. Meiburg (eds.), Vortex flows and related numerical methods II,
ESAIM Proceedings, 1, 1996
http://www.edpsciences.org/articlesproc/Vol.1/index.htm
G.-H. Cottet, A vorticity
creation
algorithm for the Navier-Stokes equations in arbitrary domain, in
Navier-Stokes equations and Related
Nonlinear
Problems, A. Sequeira
(ed.), Plenum Press, 1995.
gzipped
ps file
Y. Brenier and G.-H. Cottet, Convergence
of
particle methods with random rezoning for the 2D Euler an
Navier-Stokes
equations, SIAM J. Num.
Anal., 32, 1995. gzipped
ps file
G.-H. Cottet and L. Germain, Image Processing through Reaction Combined with Nonlinear Diffusion, Mathematics of Computation, 61, 659-673, 1993. pdf