A new Godunov-type numerical code with a non-linear Riemann solver for equations of relativistic hydrodynamics

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We present a second-order upwind numerical scheme for equations of relativistic hydrodynamics with a source term. A new non-linear Riemann solver is constructed. Solution of a Riemann problem on a cells boundary is based on exact relations in case of zero tangential velocities. In this sense our solver is "exact". In case of non-zero tangential velocities a reasonable approximation is made that allows to avoid solution of very complicated exact equations. The scheme is tested on several one- and three-dimensional solutions demonstrating a good performance for both strong shocks and strong rarefactions.
38 pages, submitted to J.Comp. Phys

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Astrophysics, High Energy Physics - Phenomenology, Nuclear Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/157117

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2556
 http://arxiv.org/abs/0803.2556

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arXiv