Multilevel schemes for the shallow water equations
β Scribed by T. Dubois; F. Jauberteau; R.M. Temam; J. Tribbia
- Book ID
- 108163960
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 488 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
A multidimensional discretisation of the shallow water equations governing unsteady free-surface flow is proposed. The method, based on a residual distribution discretisation, relies on a characteristic eigenvector decomposition of each cell residual, and the use of appropriate distribution schemes.
A study of a number of current numerical schemes for the shallow water equations leads to the establishment of relationships between these schemes. Further analysis then suggests new formulations of the schemes, as well as an alternative scheme having the same key properties.