Comparative study of upwind scheme performance for entropy condition and discontinuities

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

4 Scopus citations


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
Number of pages14
StatePublished - 1999
Externally publishedYes
Event14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States
Duration: Nov 1 1999Nov 5 1999


Other14th Computational Fluid Dynamics Conference, 1999
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Engineering(all)


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