A multigrid semi-implicit ยฎnite difference method is presented to solve the two-dimensional shallow water equations which describe the behaviour of basin water under the inยฏuence of the Coriolis force, atmospheric pressure gradients and tides. The semi-implicit ยฎnite difference method discretizes im
Finite element or finite difference methods for the two-dimensional shallow water equations?
โ Scribed by T.J. Weare
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 548 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0045-7825
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## Abstract Dispersion analysis of discrete solutions to the shallow water equations has been extensively used as a tool to define the relationships between frequency and wave number and to determine if an algorithm leads to a dual wave number response and near 2ฮ__x__ oscillations. In this paper,
## 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