Efficient implementation of finite volume methods in Numerical Relativity

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dc.creatorAlic, Daniela
dc.creatorBona, Carles
dc.creatorBona-Casas, Carles
dc.creatorMassó, Joan
dc.date2007-06-08
dc.date2007-08-09
dc.date.accessioned2026-07-07T10:56:08Z
dc.date.available2026-07-07T10:56:08Z
dc.descriptionCentered 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.
dc.descriptionRevised version, 10 pages, 6 figures. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0706.1189
dc.identifierhttp://arxiv.org/abs/0706.1189
dc.identifierPhys.Rev.D76:104007,2007
dc.identifierdoi:10.1103/PhysRevD.76.104007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186309
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEfficient implementation of finite volume methods in Numerical Relativity
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