Approximation of shallow water equations by Roe's Riemann solver
β Scribed by D. Ambrosi
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 583 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0271-2091
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π SIMILAR VOLUMES
weak formulation of Roe's approximate Riemann solver is applied to the equations of 'barotropic' flow, including the shallow water equations, and it is shown that this leads to an approximate Riemann solver recently presented for such flows.
A finite-difference scheme based on flux difference splitting is presented for the solution of the two-dimensional shallow-water equations of ideal fluid flow. A linearised problem, analogous to that of Riemann for gasdynamics, is defined and a scheme, based on numerical characteristic decomposition
## Abstract The present work addresses the numerical prediction of shallow water flows with the application of the HLLE approximate Riemann solver. This Riemann solver has several desirable properties, such as, ease of implementation, satisfaction of entropy conditions, high shock resolution and po