Derivation of a Bilayer Model for Shallow Water Equations with Viscosity. Numerical Validation

作者：Narbona Reina G^*; Zabsonre J D D; Fernandez Nieto E D; Bresch D

来源：Computer Modeling in Engineering & Sciences, 2009, 43(1): 27-71.

• Shallow Water equations
• bilayer models
• viscosity
• friction
• capillarity
• Finite Volume methods

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 [Gerbeau and Perthame (2001)] 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 Navier-Stokes simulation.

• 出版日期2009-4