 |
Center for Nonlinear Studies |
Shallow water models are widely used to describe and study free-surface water flow. They are hyperbolic systems of balance laws and are usually solved by finite volume methods, which are appropriate numerical tools for computing non-smooth solutions. One requirement when designing numerical schemes for shallow water models is to preserve a delicate balance between the flux and source terms since many physical related solutions are small perturbations of some steady state solutions. I will present a general approach of designing well-balanced central-upwind schemes for shallow water models, from the "lake at rest" steady states to the moving steady states with bottom frictions, and illustrate their performance on a number of numerical examples.
Host: Vitaliy Gyrya