In this paper we extend the linear transfer function analysis to the two-dimensional shallow water equations in A linear analysis of the shallow water equations in spherical coordinates for the Turkel-Zwas (T-Z) explicit large time-step scheme spherical coordinates for the Turkel-Zwas discretization
Analysis of the Turkel-Zwas scheme for the shallow-water equations
β Scribed by B Neta; I.M Navon
- Book ID
- 107788945
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 942 KB
- Volume
- 81
- 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.