A new Godunov-type numerical code with a non-linear Riemann solver for equations of relativistic hydrodynamics
Astrophysics
2008-03-20 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0803.2556,
title = {A new Godunov-type numerical code with a non-linear Riemann solver for equations of relativistic hydrodynamics},
author = {Pavlo V. Tytarenko and Iurii A. Karpenko and Yury M. Sinyukov},
journal= {arXiv preprint arXiv:0803.2556},
year = {2008}
}
Comments
38 pages, submitted to J.Comp. Phys