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Journal Article

Efficient implementation of finite volume methods in Numerical Relativity

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2709

Alic,  Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

0706.1189v2.pdf
(Preprint), 248KB

PRD76_104007.pdf
(Any fulltext), 314KB

Supplementary Material (public)
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Citation

Alic, D., Bona, C., Bona-Casas, C., & Massó, J. (2007). Efficient implementation of finite volume methods in Numerical Relativity. Physical Review D, 76: 104007. doi:10.1103/PhysRevD.76.104007.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-9D02-2
Abstract
Centered finite volume methods are considered in the context of Numerical Relativity. A specific formulation is presented, in which third-order space accuracy is reached by using a piecewise-linear reconstruction. This formulation can be interpreted as an 'adaptive viscosity' modification of centered finite difference algorithms. These points are fully confirmed by 1D black-hole simulations. In the 3D case, evidence is found that the use of a conformal decomposition is a key ingredient for the robustness of black hole numerical codes.