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Application de la théorie des groupes de symétries de Lie à la modélisation des écoulements turbulents anisothermes

Abstract : As the symmetry groups of partial differential equations PDE ( set of transformations that leave invariant the set solutions) represent the intrinsic properties contained in the equations, they provide an effective tool for modeling physical phenomena. We proposes an application of the theory of symmetry groups in theoretical and numerical modeling of isothermal turbulent flow. First, we construct a class of turbulence models (LES) is invariant under the symmetry groups of this flow. Then, this class of models, we deduction of two specific models : the first, his deviatoric tensor τd is zero at the wall and its viscosity subgrid νsm has a following behavior y3 close to the wall, while the second is strongly coupled. Then, a numerical test is performed to compare these two models with that of Smagorinsky mixed convection.
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Submitted on : Monday, April 1, 2019 - 1:28:42 PM
Last modification on : Wednesday, November 10, 2021 - 11:24:05 AM
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N Al Sayed, Dina Razafindralandy, Aziz Hamdouni. Application de la théorie des groupes de symétries de Lie à la modélisation des écoulements turbulents anisothermes. 20ème Congrès Français de Mécanique, 2011, Besançon, France. ⟨hal-02086493⟩

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