On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations

Luigi C. Berselli, Dominic Breit

Research output: Contribution to journalArticle

Abstract

In this paper we consider the steady Baldwin-Lomax model, which is a rotational model proposed to describe turbulent flows at statistical equilibrium. The Baldwin-Lomax model is specifically designed to address the problem of a turbulent motion taking place in a bounded domain, with Dirichlet boundary conditions at solid boundaries. The main features of this model are the degeneracy of the operator at the boundary and a formulation in velocity/vorticity variables. The principal part of the operator is non-linear and it is degenerate, due to the presence (as a coefficient) of a power of the distance from the boundary: This fact makes the existence theory naturally set in the framework of appropriate weighted-Sobolev spaces.
Original languageEnglish
Article number124633
JournalJournal of Mathematical Analysis and Applications
Early online date30 Sep 2020
DOIs
Publication statusE-pub ahead of print - 30 Sep 2020

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