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.
On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations
Luigi C. Berselli;
2021-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
arXiv-2003.00691-Breit.pdf
accesso aperto
Descrizione: Preprint arXiv:2003.00691
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
289.93 kB
Formato
Adobe PDF
|
289.93 kB | Adobe PDF | Visualizza/Apri |
BB-JMAA-revision-luigi.pdf
Open Access dal 02/09/2023
Descrizione: versione accettata post-print autore
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
393.85 kB
Formato
Adobe PDF
|
393.85 kB | Adobe PDF | Visualizza/Apri |
JMAA2021.pdf
Open Access dal 15/05/2023
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
555.82 kB
Formato
Adobe PDF
|
555.82 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.