Entropy conservative and entropy stable schemes for non-conservative hyperbolic systems
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Date
2011Type
- Report
ETH Bibliography
yes
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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. Show more
Publication status
unpublishedExternal links
Journal / series
Research ReportVolume
Publisher
ETH Zürich, Seminar für Angewandte MathematikOrganisational unit
03851 - Mishra, Siddhartha / Mishra, Siddhartha
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ETH Bibliography
yes
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