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arXiv · 2509.05389

Vorticity-dependent and symmetry-preserving LES models

Oscar Cosserat·Dina Razafindralandy·Can Selçuk
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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.

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Oscar Cosserat, Dina Razafindralandy, Can Selçuk. 2025-09-05. Vorticity-dependent and symmetry-preserving LES models. https://doi.org/10.1016/j.euromechflu.2026.204478

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