Efficient implementation of finite volume methods in Numerical Relativity
arXiv:0706.1189 · doi:10.1103/PhysRevD.76.104007
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.
Revised version, 10 pages, 6 figures. To appear in Phys. Rev. D
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