Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-11-06
Class.Quant.Grav.25:225007,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, 9 figures
Scientific paper
10.1088/0264-9381/25/22/225007
A 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.
Baiotti Luca
Giacomazzo Bruno
Kellermann Thorsten
Rezzolla Luciano
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