Numerical tests of upwind scheme performance for entropy condition

Ge Cheng Zha

doi:10.2514/2.7562

Numerical tests of upwind scheme performance for entropy condition

Ge Cheng Zha

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A numerical test case for the Euler equations is presented to examine the performance of several upwind schemes for satisfying the entropy condition. The first-order upwind schemes of Roe, Van Leer, Steger-Warming and Va Leer-Hanel et al. and Liou's AUSM and AUSM, Edward's LDFSS, and a modified Zha-Bilgen scheme are tested. The results suggest that using higher than first-order spatial accuracy may generally avoid expansion shock.

Original language	English (US)
Pages (from-to)	1005-1007
Number of pages	3
Journal	AIAA journal
Volume	37
Issue number	8
DOIs	https://doi.org/10.2514/2.7562
State	Published - Aug 1999
Externally published	Yes

ASJC Scopus subject areas

Aerospace Engineering

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10.2514/2.7562

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title = "Numerical tests of upwind scheme performance for entropy condition",

abstract = "A numerical test case for the Euler equations is presented to examine the performance of several upwind schemes for satisfying the entropy condition. The first-order upwind schemes of Roe, Van Leer, Steger-Warming and Va Leer-Hanel et al. and Liou's AUSM and AUSM, Edward's LDFSS, and a modified Zha-Bilgen scheme are tested. The results suggest that using higher than first-order spatial accuracy may generally avoid expansion shock.",

author = "Zha, {Ge Cheng}",

year = "1999",

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AB - A numerical test case for the Euler equations is presented to examine the performance of several upwind schemes for satisfying the entropy condition. The first-order upwind schemes of Roe, Van Leer, Steger-Warming and Va Leer-Hanel et al. and Liou's AUSM and AUSM, Edward's LDFSS, and a modified Zha-Bilgen scheme are tested. The results suggest that using higher than first-order spatial accuracy may generally avoid expansion shock.

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Numerical tests of upwind scheme performance for entropy condition

Abstract

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