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arxiv: 0706.1189 · v2 · submitted 2007-06-08 · 🌀 gr-qc

Efficient implementation of finite volume methods in Numerical Relativity

classification 🌀 gr-qc
keywords finitenumericalcenteredformulationmethodsrelativityvolumeaccuracy
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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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