A Numerical Scheme for a Viscous Shallow Water Model with Friction

作者：Delestre Olivier^*; Marche Fabien

来源：Journal of Scientific Computing, 2011, 48(1-3): 41-51.

DOI：10.1007/s10915-010-9393-y

• Shallow water
• Source term
• Friction
• Eddy viscosity
• Analytic solutions
• Finite volume
• MUSCL reconstruction
• Well-balanced scheme

We consider a particular viscous shallow water model with topography and friction laws, formally derived by asymptotic expansion from the three-dimensional free surface Navier-Stokes equations. Emphasize is put on the numerical study: the viscous system is regarded as an hyperbolic system with source terms and discretized using a second order finite volume method. New steady states solutions for open channel flows are introduced for the whole model with viscous and friction terms. The proposed numerical scheme is validated against these new benchmarks.

• 出版日期2011-7