Performance of numerical methods on the non-unique solution to the Riemann problem for the shallow water equations
β Scribed by Nikolai Andrianov
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 134 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.846
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π SIMILAR VOLUMES
## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for
A 2D, depth-integrated, free surface flow solver for the shallow water equations is developed and tested. The solver is implemented on unstructured triangular meshes and the solution methodology is based upon a Godunov-type second-order upwind finite volume formulation, whereby the inviscid fluxes o