Efficient implementation of finite volume methods in Numerical Relativity

Alic, Daniela; Bona, Carles; Bona-Casas, Carles; Massó, Joan

doi:10.1103/PhysRevD.76.104007

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Efficient implementation of finite volume methods in Numerical Relativity

MPS-Authors

/persons/resource/persons2709

Alic, Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

0706.1189v2.pdf
(Preprint), 248KB

PRD76_104007.pdf
(Any fulltext), 314KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Alic, D., Bona, C., Bona-Casas, C., & Massó, J. (2007). Efficient implementation of finite volume methods in Numerical Relativity. Physical Review D, 76: 104007. doi:10.1103/PhysRevD.76.104007.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-9D02-2

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.