An analysis and comparison of conservative upwind difference schemes for ideal and non-ideal gases
✍ Scribed by P. Glaister
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 569 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 conservative linearisation approach. This scheme was subsequently extended to encompass compressible flows of real gases where the equation of state allows for non-ideal gases [P. Glaister, Conservative upwind difference schemes for compressible flows of a real gas, Comput. Math. Appl. 48 (2004) 469-480]. These schemes use different parameter vectors in their construction and, consequently, the scheme in [P. Glaister, Conservative upwind difference schemes for compressible flows of a real gas, Comput. Math. Appl. 48 (2004) 469-480] when applied to the special case of an ideal gas is not identical to the principal ideal gas scheme in [P. Glaister, Conservative upwind difference schemes for the Euler equations, Comput. Math. Appl. 45 (2003Appl. 45 ( ) 1673Appl. 45 ( -1682]]. In this paper it is shown how these schemes are related, followed by a numerical comparison when each is applied to two standard test problems.