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

Kellerman, T., Baiotti, L., Giacomazzo, B., & Rezzolla, L. (2008). An improved formulation of the relativistic hydrodynamics equations in 2D Cartesian coordinates. Classical and Quantum Gravity, 25(22): 225007. doi:10.1088/0264-9381/25/22/225007.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-138B-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-138D-7
Genre: Journal Article

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 Creators:
Kellerman, Thorsten1, Author
Baiotti, Luca1, Author
Giacomazzo, Bruno1, Author
Rezzolla, Luciano2, Author
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1MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24007              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24013              

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 Abstract: 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.

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 Dates: 2008-10-31
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1088/0264-9381/25/22/225007
eDoc: 398298
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 25 (22) Sequence Number: 225007 Start / End Page: - Identifier: ISSN: 1361-6382