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Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

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dc.contributor.author Bhoriya, Deepak
dc.date.accessioned 2025-09-18T11:19:09Z
dc.date.available 2025-09-18T11:19:09Z
dc.date.issued 2022-04
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0898122122000827
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/19453
dc.description.abstract This article presents entropy stable discontinuous Galerkin numerical schemes for equations of special relativistic hydrodynamics with the ideal equation of state. The numerical schemes use the summation by parts (SBP) property of the Gauss-Lobatto quadrature rules. To achieve entropy stability for the scheme, we use two-point entropy conservative numerical flux inside the cells and a suitable entropy stable numerical flux at the cell interfaces. The resulting semi-discrete scheme is then shown to be entropy stable. Time discretization is performed using SSP Runge-Kutta methods. Several numerical test cases are presented to validate the accuracy and stability of the proposed schemes. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Mathematics en_US
dc.subject Discontinuous Galerkin scheme en_US
dc.subject Entropy stability en_US
dc.subject Special relativistic hydrodynamics en_US
dc.subject Hyperbolic conservation laws en_US
dc.title Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations en_US
dc.type Article en_US


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