Rotational Forms of Large Eddy Simulation Turbulence Models

Citation:

Luigi C. BERSELLI,Roger LEWANDOWSKI,Dinh Duong NGUYEN.Rotational Forms of Large Eddy Simulation Turbulence Models[J].Chinese Annals of Mathematics B,2021,42(1):17~40
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Authors:

Luigi C. BERSELLI; Roger LEWANDOWSKI;Dinh Duong NGUYEN

Foundation:

This work was supported by the group GNAMPA of INdAM and the University of Pisa, under grant:PRA 2018 52 UNIPI.
Abstract: In this paper the authors present a derivation of a back-scatter rotational Large Eddy Simulation model, which is the extension of the Baldwin & Lomax model to nonequilibrium problems. The model is particularly designed to mathematically describe a fluid filling a domain with solid walls and consequently the differential operators appearing in the smoothing terms are degenerate at the boundary. After the derivation of the model, the authors prove some of the mathematical properties coming from the weighted energy estimates, which allow to prove existence and uniqueness of a class of regular weak solutions.

Keywords:

Fluid mechanics, Turbulence models, Rotational Large Eddy Simulation models, Navier-Stokes equations

Classification:

76D05, 35Q30, 76F65, 76D03, 35Q35
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