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arXiv · 0706.1189

Efficient implementation of finite volume methods in Numerical Relativity

Daniela Alic·Carles Bona·Carles Bona-Casas·Joan Massó
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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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Daniela Alic, Carles Bona, Carles Bona-Casas, Joan Massó. 2007-08-09. Efficient implementation of finite volume methods in Numerical Relativity. https://doi.org/10.1103/physrevd.76.104007

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