An energetically consistent viscous sedimentation model

In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the stability of weak solutions for periodic domains and give some numerical experimen...

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Detalles Bibliográficos
Autores: Zabsonré, J.D., Lucas, C., Fernández Nieto, Enrique Domingo
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2009
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40721
Acceso en línea:http://hdl.handle.net/11441/40721
https://doi.org/10.1142/S0218202509003504
Access Level:acceso abierto
Palabra clave:Sedimentation
Shallow water
Viscous models
Energetic consistency
Stability
Descripción
Sumario:In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the stability of weak solutions for periodic domains and give some numerical experiments. We also discuss around various discharge quantity choices.