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ID: 398298.0, MPI für Gravitationsphysik / Astrophysical Relativity
An improved formulation of the relativistic hydrodynamics equations in 2D Cartesian coordinates
Authors:Kellerman, Thorsten; Baiotti, Luca; Giacomazzo, Bruno; Rezzolla, Luciano
Date of Publication (YYYY-MM-DD):2008-10-31
Title of Journal:Classical and Quantum Gravity
Volume:25
Issue / Number:22
Sequence Number of Article:225007
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:A number of astrophysical scenarios possess and preserve an overall cylindrical symmetry when also 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 present here 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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:ISSN:1361-6382
DOI:10.1088/0264-9381/25/22/225007
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