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Relaxation schemes for the shallow water equations

✍ Scribed by A. I. Delis; Th. Katsaounis

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
636 KB
Volume
41
Category
Article
ISSN
0271-2091

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πŸ“œ SIMILAR VOLUMES

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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.

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The shallow water equations describe large scale horizontal phenomena of the global atmospheric motion to good approximation. Thus they provide a widely accepted primary test for numerical methods for global atmospheric modelling before proceeding to complete 3D baroclinic models [7]. They are progn

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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