This paper is concerned with solving the viscous and inviscid shallow water equations. The numerical method is based on second-order finite volume-finite element (FV-FE) discretization: the convective inviscid terms of the shallow water equations are computed by a finite volume method, while the dif
On curl-preserving finite volume discretizations for shallow water equations
β Scribed by Rolf Jeltsch; Manuel Torrilhon
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 988 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
Four finite-volume component-wise total variation diminishing (TVD) schemes are proposed for solving the two-dimensional shallow water equations. In the framework of the finite volume method, a proposed algorithm using the flux-splitting technique is established by modifying the MacCormack scheme to
## Abstract This paper formulates a finite volume analogue of a finite element schematization of threeβdimensional shallow water equations. The resulting finite volume schematization, when applied to the continuity equation, exactly reproduces the set of matrix equations that is obtained by the app