Codimension-One Riemann Solutions: Missing Rarefactions Adjacent to Doubly Sonic Transitional Waves |
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Authors: | Stephen Schecter |
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Institution: | (1) Mathematics Department, North Carolina State University, Box 8205, Raleigh, North Carolina, 27695 |
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Abstract: | This paper is the fifth in a series that undertakes a systematic investigation of Riemann solutions of systems of two conservation laws in one spatial dimension. In this paper, three degeneracies that can occur only in Riemann solutions that contain doubly sonic transitional shock waves, together with the degeneracies that pair with them, are studied in detail. Conditions for a codimension-one degeneracy are identified in each case, as are conditions for folding of the Riemann solution surface. Simple examples are given, including a numerically computed Riemann solution that contains a doubly sonic transitional shock wave. |
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Keywords: | conservation law Riemann problem viscous profile |
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