## Communicated by J. C. Nedelec A new solution of the two-dimensional shallow-water equations, using a finite element method is described. The formulation is based on the velocity and height variables and follows two step. In the first step, the convective terms are solved by a characteristic met
Improved finite element forms for the shallow-water wave equations
β Scribed by R. T. Williams; O. C. Zienkiewicz
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 1014 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0271-2091
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π SIMILAR VOLUMES
A new algorithm for the solution of the shallow water equations is introduced. The formulation is founded on a suitable operator-splitting procedure for which a characteristic-based rational form of including balancing dissipation terms is achieved. In the semi-explicit form the method circumvents
A p-type finite element scheme is introduced for the three-dimensional shallow water equations with a harmonic expansion in time. The wave continuity equation formulation is used which decouples the problem into a Helmholtz equation for surface elevation and a momentum equation for horizontal veloci