Flux Limiter Methods in 3D Numerical Relativity

Details Flux Limiter Methods in 3D Numerical Relativity Flux Limiter Methods in 3D Numerical Relativity

2002-02-28

arxiv.org/abs/gr-qc/0202101v1

Lect.Notes Phys. 617 (2003) 130-139

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 5 figures. to be published in the Procedings of ERE01

Scientific paper

New numerical methods have been applied in relativity to obtain a numerical evolution of Einstein equations much more robust and stable. Starting from 3+1 formalism and with the evolution equations written as a FOFCH (first-order flux conservative hyperbolic) system, advanced numerical methods from CFD (Computational Fluid Dynamics) have been successfully applied. A flux limiter mechanism has been implemented in order to deal with steep gradients like the ones usually associated with black hole spacetimes. As a test bed, the method has been applied to 3D metrics describing propagation of nonlinear gauge waves. Results are compared with the ones obtained with standard methods, showing a great increase in both robustness and stability of the numerical algorithm.

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