Lie-symmetry group and modeling in non-isothermal fluid mechanics

D. Razafindralandy, A. Hamdouni and N. Al Sayed

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 20, 4624-4636

Abstract: 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 is proven. A numerical test, in the configuration of an air flow in a ventilated and differentially heated room is presented.

Keywords: Symmetry; Turbulence modeling; Convection; Scaling laws (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:20:p:4624-4636

DOI: 10.1016/j.physa.2012.05.063

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