Summary
Based on the Geometrical Shock Correction Method (GSC) for solving scalar conservation laws in one space dimension exactly at an arbitrary time, we present results on the extension to 2-d scalar Riemann problems. In case that such Riemann problems can be transformed into a quasi 1-d problem, it is shown that the entropy solution can be obtained by applying GSC (i.e. an equal volume principle) directly.
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References
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Böing, H., Werner, KD. (1993). Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method. 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_9
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DOI: https://doi.org/10.1007/978-3-322-87871-7_9
Publisher Name: Vieweg+Teubner Verlag
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