Entropy conservative and entropy stable schemes for non-conservative hyperbolic systems
Castro, Manuel J.
Fjordholm, Ulrik S.
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 , 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 Show more
Journal / seriesResearch Report
PublisherETH Zürich, Seminar für Angewandte Mathematik
Organisational unit03851 - Mishra, Siddhartha
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