On a one dimensional turbulent boundary layer model

Roger Lewandowski 1, 2
2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
IRMAR - Institut de Recherche Mathématique de Rennes, IRSTEA - Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture, Inria Rennes – Bretagne Atlantique
Abstract : This paper is devoted to the study of a one stationary dimensional turbulence model used for simulating the boundary layer of a turbulent flow, such as the atmospheric boundary layer. The model is based on the coupling of an equation for the mean velocity with an equation for the turbulent kinetic energy through eddy viscosities. We show that under reasonable assumptions about the data, the system has a weak solution.
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Submitted on : Tuesday, November 19, 2019 - 1:54:49 PM
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Roger Lewandowski. On a one dimensional turbulent boundary layer model. 2019. ⟨hal-02134034v2⟩

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