Two Dimensional Riemann Problem for Gas Dynamics System in Three Pieces

Two Dimensional Riemann Problem for Gas Dynamics System in Three Pieces

Year:    1999

Author:    Jie-Quan Li, Shu-Li Yang

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 327–336

Abstract

The Riemann problem for two-dimensional flow of polytropic gas with three constant initial data is considered. Under the assumption that each interface of initial data outside of the origin projects exactly one planar wave of shock, rarefaction wave or contact discontinuity, it is proved that only two kinds of combinations, JRS and Js, are reasonable. Numerical solutions are obtained by using a nonsplitting second order accurate MmB Scheme, and they efficiently reflect the complicated configurations and the geometric structure of solutions of gas dynamics system.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9106

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 327–336

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Two-dimensional Riemann problem MmB scheme gas dynamics.

Author Details

Jie-Quan Li

Shu-Li Yang