Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics - INRIA Chile Accéder directement au contenu
Article Dans Une Revue SMAI Journal of Computational Mathematics Année : 2017

Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics

Résumé

We propose in the present work an extension of the Schwarz waveform relaxation method to the case of viscous shallow water system with advection term. We first show the difficulties that arise when approximating the Dirichlet to Neumann operators if we consider an asymptotic analysis based on large Reynolds number regime and a small domain aspect ratio. Therefore we focus on the design of a Schwarz algorithm with Robin like boundary conditions. We prove the well-posedness and the convergence of the algorithm.
Fichier principal
Vignette du fichier
SMAI-JCM_2017__3__117_0.pdf (660.06 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-01467335 , version 1 (04-04-2022)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Eric Blayo, Antoine Rousseau, Manel Tayachi Pigeonnat. Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics. SMAI Journal of Computational Mathematics, 2017, 3, pp.117-137. ⟨10.5802/smai-jcm.22⟩. ⟨hal-01467335⟩
571 Consultations
65 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More