Vorticity Leray-α model for Navier–Stokes equations with viscosity depending on the distance to the wall

We introduce a vorticity Leray- α model with eddy viscosity depending on d ( x , ∂ Ω ) η where ∂ Ω is the boundary of the domain and η ∈ ] 0 ; 1 [ . We prove that this system admits fairly regular weak solutions converging when α goes to 0 to the solution of a reference system

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2024-06, Vol.75 (3), Article 105
Main Author: Leloup, Guillaume
Format: Article
Language:English
Subjects:
Eddy viscosity
Engineering
Mathematical Methods in Physics
Reference systems
Theoretical and Applied Mechanics
Vorticity
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Description
Summary:We introduce a vorticity Leray- α model with eddy viscosity depending on d ( x , ∂ Ω ) η where ∂ Ω is the boundary of the domain and η ∈ ] 0 ; 1 [ . We prove that this system admits fairly regular weak solutions converging when α goes to 0 to the solution of a reference system
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-024-02252-5