Numerical results are presented and compared for three conservative upwind difference schemes for the Euler equations when applied to two standard test problems. This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of different averaging of the
A comparison of conservative upwind difference schemes for the shallow water equations
β Scribed by P. Glaister
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 449 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Numerical results are presented and compared for four conservative upwind difference schemes for the shallow water equations when applied to a standard test problem This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of square-root and arithmetic averaging (~) 2005 Elsevmr Ltd All rights reserved.
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.
In a recent paper [P. Glaister, Conservative upwind difference schemes for compressible flows in a Duct, Comput. Math. Appl. 56 (2008) 1787-1796] numerical schemes based on a conservative linearisation are presented for the Euler equations governing compressible flows of an ideal gas in a duct of va
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
In a recent paper [P. Glaister, Conservative upwind difference schemes for the Euler equations, Comput. Math. Appl. 45 (2003) 1673-1682] a number of numerical schemes were presented for the Euler equations governing compressible flows of an ideal gas, the principal one of which is based on a conserv