On a one dimensional turbulent boundary layer model

Roger Lewandowski (1, 2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences

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.

Mots clés: Mathematical fluid dynamics; Non linear boundary values problems; fixed point theorems; turbulence modeling

Domaines: Physique mathématique [math-ph]

Roger Lewandowski. On a one dimensional turbulent boundary layer model. Pure and Applied Functional Analysis, 2020, 5 (5), pp.1115-1129. ⟨hal-02134034v2⟩