Relativistic MHD and black hole excision: Formulation and initial tests

Details Relativistic MHD and black hole excision: Formulation and initial tests Relativistic MHD and black hole excision: Formulation and initial tests

2005-12-24

arxiv.org/abs/gr-qc/0512147v1

Class.Quant.Grav. 23 (2006) S505

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 8 figures

Scientific paper

10.1088/0264-9381/23/16/S12

A new algorithm for solving the general relativistic MHD equations is described in this paper. We design our scheme to incorporate black hole excision with smooth boundaries, and to simplify solving the combined Einstein and MHD equations with AMR. The fluid equations are solved using a finite difference Convex ENO method. Excision is implemented using overlapping grids. Elliptic and hyperbolic divergence cleaning techniques allow for maximum flexibility in choosing coordinate systems, and we compare both methods for a standard problem. Numerical results of standard test problems are presented in two-dimensional flat space using excision, overlapping grids, and elliptic and hyperbolic divergence cleaning.

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