Entropy stable discontinuous Galerkin approximation for the Relativistic Hydrodynamic Equations
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This paper presents the higher-order discontinuous Galerkin entropy stable schemes for special relativistic hydrodynamic equations. A suitable entropy conservative flux is used to construct the scheme. It is studied that the presented fourth-order scheme provides less oscillatory approximation than the third-order scheme. Bound preserving limiter is used to keep the computed solution in the physical domain. Extensive numerical results are presented to validate the accuracy and robustness of the schemes.
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