# Large
Eddy Simulations

Our work has followed three directions

- the mathematical analysis of original and selective
Smagorinsky models [1,2]

- the definition and validation of dissipative anisotropic gradient
models [3,4]

- the definition and use of robust variants of the dynamic model [5]
- the understanding of implicit sub-grid scale modeling in particle methods [6].

Coherent
structures in a plane jet |

[1] G.-H. Cottet, D. Jiroveanu and B. Michaux, Vorticity dynamics and turbulence models for large-eddy simulations, M2AN, 37, 187-207, 2003. pdf file

[2] G.-H. Cottet,
D. Jiroveanu,
and B. Michaux, Simulations des
grandes échelles: aspects
mathématiques et numériques, In 32e Congres
National d'Analyse Numérique, Port d'Albret, Juin 2000,
ESAIM: Proceedings, 11, 85-95, 2002. pdf
file

[3] G.-H. Cottet, Anisotropic subgrid-scale numerical schemes for Large Eddy Simulations of turbulent flows, preprint, 1997. pdf file

[4] 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

[5] 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

[6] G-H. Cottet, Artificial
viscosity models for vortex and
particle methods, J. Comp. Phys., 127, 1996. pdf file

[7] G.-H. Cottet, G. Balarac and M. Coquerelle, Sub-grid particle
resolution for the turbulent transport of a passive scalar,
12th Euromech Conference, Marburg, September 7-10, 2009.pdf file

[8] J.-B. Lagaert, G. Balarac and G.-H. Cottet, Numerical evidence of universal scaling for the scalar variance spectrum in forced homogeneous turbulence, submitted, 2012.pdf file

[9] J.-B. Lagaert, G. Balarac and G.-H. Cottet, Hybrid spectral particle method for turbulent transport of passive scalar, J. Comp. Phys., 260, 127-142, 2014. pdf
file