Abstract
The Riemann problem for two-dimensional gas dynamics with isentropic and poly-tropic gas is considered. The initial data is constant in each quadrant and chosen so that only a rarefaction or shock wave connects two neighboring constant initial states. With this restriction the existence of five (resp. four) genuinely different wave combinations for isentropic (resp. polytropic) gas is proved. For each configuration the relations for the initial data and the symmetry properties of the solution are given.
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Schulz-Rinne, C.W. (1993). The Riemann Problem for Two-Dimensional Gas Dynamics. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_63
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DOI: https://doi.org/10.1007/978-3-322-87871-7_63
Publisher Name: Vieweg+Teubner Verlag
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