Vorticity-dependent and symmetry-preserving LES models

Within the Large Eddy Simulation framework, we propose a methodology based on the Lie theory to derive symmetry-preserving turbulence models. We apply this methodology to the incompressible Navier–Stokes equations. These models explicitly depend on both the filtered strain-rate tensor and the filtered vorticity tensor. Particular emphasis is placed on models that additionally ensure stability.

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Publication Details

Journal
European Journal of Mechanics - B/Fluids
Published
2026-01-23
DOI
https://doi.org/10.1016/j.euromechflu.2026.204478
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00

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article

Vorticity-dependent and symmetry-preserving LES models

Dina Razafindralandy, Oscar Cosserat, Can Selçuk
European Journal of Mechanics - B/Fluids
Nonlinear Dynamics and Pattern Formation
article

Vorticity-dependent and symmetry-preserving LES models

Dina Razafindralandy, Oscar Cosserat, Can Selçuk
article en

Abstract

Within the Large Eddy Simulation framework, we propose a methodology based on the Lie theory to derive symmetry-preserving turbulence models. We apply this methodology to the incompressible Navier–Stokes equations. These models explicitly depend on both the filtered strain-rate tensor and the filtered vorticity tensor. Particular emphasis is placed on models that additionally ensure stability.

European Journal of Mechanics - B/FluidsVol. 118
Centre National de la Recherche Scientifique (FR), Université Paris-Est Créteil (FR), Laboratoire des Sciences de l'Ingénieur pour l'Environnement (FR), Université Gustave Eiffel (FR), Laboratoire Modélisation et Simulation Multi-Echelle (FR), University of Göttingen (DE)
Deutsche Forschungsgemeinschaft, Centre National de la Recherche Scientifique
Openalex Percentile: Top 100%
Nonlinear Dynamics and Pattern Formation
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Vorticity-dependent and symmetry-preserving LES models — Dina Razafindralandy, Oscar Cosserat, et al. · European Journal of Mechanics - B/Fluids (2026) | TGRS Research Map | TGRS