An improved formulation of the relativistic hydrodynamics equations in 2D Cartesian coordinates

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dc.creatorKellermann, Thorsten
dc.creatorBaiotti, Luca
dc.creatorGiacomazzo, Bruno
dc.creatorRezzolla, Luciano
dc.date2008-11-06
dc.date2008-12-02
dc.date.accessioned2026-07-07T12:15:57Z
dc.date.available2026-07-07T12:15:57Z
dc.descriptionA number of astrophysical scenarios possess and preserve an overall cylindrical symmetry also when undergoing a catastrophic and nonlinear evolution. Exploiting such a symmetry, these processes can be studied through numerical-relativity simulations at smaller computational costs and at considerably larger spatial resolutions. We here present a new flux-conservative formulation of the relativistic hydrodynamics equations in cylindrical coordinates. By rearranging those terms in the equations which are the sources of the largest numerical errors, the new formulation yields a global truncation error which is one or more orders of magnitude smaller than those of alternative and commonly used formulations. We illustrate this through a series of numerical tests involving the evolution of oscillating spherical and rotating stars, as well as shock-tube tests.
dc.description19 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0811.0938
dc.identifierhttp://arxiv.org/abs/0811.0938
dc.identifierClass.Quant.Grav.25:225007,2008
dc.identifierdoi:10.1088/0264-9381/25/22/225007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211651
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAn improved formulation of the relativistic hydrodynamics equations in 2D Cartesian coordinates
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