A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation

Simple item page
dc.creatorAudusse, Emmanuel
dc.creatorBristeau, Marie-Odile
dc.creatorPerthame, Benoit
dc.creatorSainte-Marie, Jacques
dc.date2009-01-25
dc.date.accessioned2026-07-07T12:34:26Z
dc.date.available2026-07-07T12:34:26Z
dc.descriptionThe standard multilayer Saint-Venant system consists in introducing fluid layers that are advected by the interfacial velocities. As a consequence there is no mass exchanges between these layers and each layer is described by its height and its average velocity. Here we introduce another multilayer system with mass exchanges between the neighborhing layers where the unknowns are a total height of water and an average velocity per layer. We derive it from Navier-Stokes system with an hydrostatic pressure and prove energy and hyperbolicity properties of the model. We also give a kinetic interpretation leading to effective numerical schemes with positivity and energy properties. Numerical tests show the versatility of the approach and its ability to compute recirculation cases with wind forcing.
dc.descriptionSubmitted to M2AN
dc.identifierhttps://arxiv.org/abs/0901.3887
dc.identifierhttp://arxiv.org/abs/0901.3887
dc.identifierModelisation Mathématique et Analyse Numérique (2009) 1-30
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217431
dc.subjectAnalysis of PDEs
dc.subjectClassical Physics
dc.titleA multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation
dc.typetext

Files

Collections

arXiv