Entropy stable shock capturing space–time discontinuous Galerkin schemes for systems of conservation laws
Open access
Datum
2014-01Typ
- Journal Article
ETH Bibliographie
yes
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Abstract
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to approximate nonlinear systems of conservation laws in several space dimensions. The degrees of freedom are in terms of the entropy variables and the numerical flux functions are the entropy stable finite volume fluxes. We show entropy stability of the (formally) arbitrarily high order accurate method for a general system of conservation laws. Furthermore, we prove that the approximate solutions converge to the entropy measure valued solutions for nonlinear systems of conservation laws. Convergence to entropy solutions for scalar conservation laws and for linear symmetrizable systems is also shown. Numerical experiments are presented to illustrate the robustness of the proposed schemes. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000096663Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Numerische MathematikBand
Seiten / Artikelnummer
Verlag
SpringerOrganisationseinheit
03851 - Mishra, Siddhartha / Mishra, Siddhartha
Anmerkungen
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.ETH Bibliographie
yes
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