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 arithme
A comparison of conservative upwind difference schemes for the euler equations
โ Scribed by P. Glaister
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 370 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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 flow variables. Two of the schemes are also shown to be equivalent in their implementation, while being different in construction and having different approximate Jacobians.
๐ SIMILAR VOLUMES
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
The work presented in this paper shows that the mixed-type scheme of Murman and Cole, originally developed for a scalar equation, can be extended to systems of conservation laws. A characteristic scheme for the equations of gas dynamics is introduced that has a close connection to a four operator sc