Singular boundary condition for a degenerated turbulent toy model - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Singular boundary condition for a degenerated turbulent toy model

Résumé

We consider a turbulent toy model with the Prandtl mixing length, that vanishes at the boundary, as eddy viscosity and a Navier-like friction law as boundary condition. We address the paradox of the degeneracy of the boundary condition, by means of an approach by a problem of singular perturbations. We show a convergence theorem for well-prepared source terms, and we illustrate our analysis with a series of analytical examples, showing both blow-up cases for ill-prepared data and convergence cases for well-prepared data.
Fichier principal
Vignette du fichier
CL_Singuliar_6.pdf (306.58 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04143082 , version 1 (27-06-2023)
hal-04143082 , version 2 (13-12-2023)
hal-04143082 , version 3 (08-01-2024)

Licence

Paternité

Identifiants

  • HAL Id : hal-04143082 , version 3

Citer

Chérif Amrouche, Luigi C Berselli, François Legeais, Guillaume Leloup, Roger Lewandowski. Singular boundary condition for a degenerated turbulent toy model. 2024. ⟨hal-04143082v3⟩
120 Consultations
23 Téléchargements

Partager

Gmail Facebook X LinkedIn More