Entropy conservative and entropy stable schemes for non-conservative hyperbolic systems
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2011-08
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Abstract
The vanishing viscosity limit of non-conservative hyperbolic systems depends heavily on the speci c form of the viscosity. Numerical approximations, such as the path consistent schemes of [16], may not converge to the physically relevant solutions of the system. We construct entropy stable path consistent (ESPC) schemes to approximate non-conservative hyperbolic systems by combining entropy conservative discretizations with numerical diffusion operators that are based on the underlying viscous operator. Numerical experiments for the coupled Burgers system and the two-layer shallow water equations demonstrating the robustness of ESPC schemes are presented.
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published
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2011-49
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Seminar for Applied Mathematics, ETH Zurich
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03851 - Mishra, Siddhartha / Mishra, Siddhartha
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