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SIAM J. Sci. Comput. 14, pp. 1394-1414 (21 pages)
Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
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Add to FacebookThe Riemann problem for two-dimensional gas dynamics with isentropic or polytropic gas is considered. The initial data is constant in each quadrant and chosen so that only a rarefaction wave, shock wave, or slip line connects two neighboring constant initial states. With this restriction sixteen (respectively, fifteen) genuinely different wave combinations for isentropic (respectively, polytropic) gas exist. For each configuration the numerical solution is analyzed and illustrated by contour plots. Additionally, the required relations for the initial data and the symmetry properties of the solutions are given. The chosen calculations correspond closely to the cases studied by T. Zhang and Y. Zheng [SIAM J. Math. Anal., 21 (1990), pp. 593–630], so that the analytical theory can be directly compared to our numerical study.
© 1993 Society for Industrial and Applied Mathematics
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Received March 17, 1992
Accepted November 19, 1992
Accepted November 19, 1992
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