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Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2012

Lie-Symmetry Group and Modelling in Non-Isothermal Fluid Mechanics

Résumé

The symmetry group of the non-isothermal Navier-Stokes equations is used to develop physics-preserving turbulence models for the subgrid stress tensor and the subgrid heat flux. The Reynolds analogy is not used. The theoretical properties of the models are investigated. In particular, their compatibility with the scaling laws of the flow are proven. A numerical test, in the configuration of an air flow in a ventilated and differentially heated room is presented.
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Dates et versions

hal-02086514 , version 1 (01-04-2019)

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Dina Razafindralandy, Aziz Hamdouni, Nazir Al Sayed. Lie-Symmetry Group and Modelling in Non-Isothermal Fluid Mechanics. Physica A: Statistical Mechanics and its Applications, 2012, 391 (20), pp.4624-4636. ⟨10.1016/j.physa.2012.05.063⟩. ⟨hal-02086514⟩
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