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

Simple item page
dc.creatorTytarenko, Pavlo V.
dc.creatorKarpenko, Iurii A.
dc.creatorSinyukov, Yury M.
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:27:28Z
dc.date.available2026-07-07T09:27:28Z
dc.descriptionWe 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.
dc.description38 pages, submitted to J.Comp. Phys
dc.identifierhttps://arxiv.org/abs/0803.2556
dc.identifierhttp://arxiv.org/abs/0803.2556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157117
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleA new Godunov-type numerical code with a non-linear Riemann solver for equations of relativistic hydrodynamics
dc.typetext

Files

Collections

arXiv