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  Efficient implementation of finite volume methods in Numerical Relativity

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.

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Alic, Daniela1, Author           
Bona, Carles, Author
Bona-Casas, Carles, Author
Massó, Joan, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 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.

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 Dates: 2007
 Publication Status: Issued
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 Identifiers: eDoc: 475378
DOI: 10.1103/PhysRevD.76.104007
Other: arXiv:0706.1189
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 76 Sequence Number: 104007 Start / End Page: - Identifier: -