Derivation of a bilayer model for shallow water equations with viscosity. Numerical validation
In this work we present a new two-dimensional bilayer Shallow-Water model including viscosity and friction effects on the bottom and interface level. It is obtained following [[6]] from an asymptotic analysis of non-dimensional and incompressible Navier-Stokes equations with hydrostatic approximatio...
| Authors: | , , , |
|---|---|
| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/32224 |
| Online Access: | http://hdl.handle.net/11441/32224 |
| Access Level: | Open access |
| Keyword: | bilayer models viscosity friction capillarity Finite Volume methods Shallow Water equations |
| Summary: | In this work we present a new two-dimensional bilayer Shallow-Water model including viscosity and friction effects on the bottom and interface level. It is obtained following [[6]] from an asymptotic analysis of non-dimensional and incompressible Navier-Stokes equations with hydrostatic approximation. In order to obtain the viscosity effects into the model we must have into account a second order approximation. To evaluate this model we perform two numerical tests consisting of an internal dam-break problem for both, one and two dimensional cases. In the first one we make a comparison between the model obtained and the NavierStokes simulation. |
|---|