Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography
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Date
2015-04Type
- Report
ETH Bibliography
yes
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Abstract
We describe a shock-capturing streamline diffusion space-time discontinuous Galerkin (DG) method to discretize the shallow water equations with variable bottom topography. This method, based on the entropy variables as degrees of freedom, is shown to be energy stable as well as well-balanced with respect to the lake at rest steady state. We present numerical experiments illustrating the numerical method. Show more
Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03851 - Mishra, Siddhartha / Mishra, Siddhartha
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/113913
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ETH Bibliography
yes
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