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.
ASJC Scopus subject areas
- Aerospace Engineering