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ID: 475378.0, MPI für Gravitationsphysik / Astrophysical Relativity
Efficient implementation of finite volume methods in Numerical Relativity
Authors:Alic, Daniela; Bona, Carles; Bona-Casas, Carles; Massó, Joan
Date of Publication (YYYY-MM-DD):2007
Title of Journal:Physical Review D
Volume:76
Sequence Number of Article:104007
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:DOI:10.1103/PhysRevD.76.104007
LOCALID:arXiv:0706.1189
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