Efficient implementation of finite volume methods in Numerical Relativity

Alic, Daniela; Bona, Carles; Bona-Casas, Carles; Massó, Joan

doi:10.1103/PhysRevD.76.104007

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Efficient implementation of finite volume methods in Numerical Relativity

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

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0706.1189v2.pdf
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PRD76_104007.pdf
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引用

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

引用: https://hdl.handle.net/11858/00-001M-0000-0012-9D02-2

要旨

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.