Adaptive mesh refinement approach to construction of initial data for black hole collisions

Details Adaptive mesh refinement approach to construction of initial data for black hole collisions Adaptive mesh refinement approach to construction of initial data for black hole collisions

1999-05-20

arxiv.org/abs/gr-qc/9905079v1

Class.Quant.Grav. 17 (2000) 435-451

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 11 figures

Scientific paper

10.1088/0264-9381/17/2/312

The initial data for black hole collisions is constructed using a conformal-imaging approach and a new adaptive mesh refinement technique, a fully threaded tree (FTT). We developed a second-order accurate approach to the solution of the constraint equations on a non-uniformly refined high resolution Cartesian mesh including second-order accurate treatment of boundary conditions at the black hole throats. Results of test computations show convergence of the solution as the numerical resolution is increased. FTT-based mesh refinement reduces the required memory and computer time by several orders of magnitude compared to a uniform grid. This opens up the possibility of using Cartesian meshes for very high resolution simulations of black hole collisions.

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