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
Multigrid computation for the two-dimensional shallow water equations
โ Scribed by Rosa Maria Spitaleri; Lorena Corinaldesi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 531 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In recent years upwind differencing has gained acceptance as a robust and accurate technique for the numerical approximation of the one-dimensional shallow water equations. In two dimensions the benefits have been less marked due to the reliance of the methods on standard operator splitting techniqu
Composite schemes are formed by global composition of several Lax -Wendroff steps followed by a diffusive Lax-Friedrichs or WENO step, which filters out the oscillations around shocks typical for the Lax-Wendroff scheme. These schemes are applied to the shallow water equations in two dimensions. The
A new symmetric formulation of the two-dimensional shallow water equations and a streamline upwind Petrov-Galerkm (SUPG) scheme are developed and tested. The symmetric formulation is constructed by means of a transformation of dependent variables derived fkom the relation for the total energy of the