Comparative study of upwind scheme performance for entropy condition and discontinuities

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The upwind schemes of Roe, Van Leer, Steger-Warming, Van Leer-Hanel, Liou’s AUSM and AUSM+, Edwards LDFSS and modified Zha-Bilgen scheme are tested for their performance at sonic point and discontinuities. A numerical testease is presented toexamine the entropy condition of upwind schemes at sonic point for nonlinear Euler equations. The Zha-Bilgen fluxvector splitting scheme is modified to resolve contact discontinuities. lt is observed that the schemes of Van Leer, Van Leer-Hánel, AUSM and AUSM+ schemes allow expansion shock at sonic point. Two shock tube problems, the Sod problem and a slowly moving contact discontinuity, are also, tested for these schemes. The focus for shock tube tests is on comparing the maximum allowable CFL number and the quality of the discontinuities captured. Edwards’ LDFSS(2) scheme gives the best results at both sonic point and discontinuities.

Original languageEnglish (US)
Title of host publication14th Computational Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Pages800-813
Number of pages14
StatePublished - 1999
Externally publishedYes
Event14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States
Duration: Nov 1 1999Nov 5 1999

Other

Other14th Computational Fluid Dynamics Conference, 1999
CountryUnited States
CityNorfolk
Period11/1/9911/5/99

Fingerprint

Shock tubes
Entropy
Euler equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Zha, G. (1999). Comparative study of upwind scheme performance for entropy condition and discontinuities. In 14th Computational Fluid Dynamics Conference (pp. 800-813). American Institute of Aeronautics and Astronautics Inc, AIAA.

Comparative study of upwind scheme performance for entropy condition and discontinuities. / Zha, GeCheng.

14th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 1999. p. 800-813.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zha, G 1999, Comparative study of upwind scheme performance for entropy condition and discontinuities. in 14th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, pp. 800-813, 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States, 11/1/99.
Zha G. Comparative study of upwind scheme performance for entropy condition and discontinuities. In 14th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA. 1999. p. 800-813
Zha, GeCheng. / Comparative study of upwind scheme performance for entropy condition and discontinuities. 14th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics Inc, AIAA, 1999. pp. 800-813
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