Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-12-14
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, 13 figures
Scientific paper
There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects (BCOs) involving neutron stars will be detected by gravitational wave observatories in the coming years, as well as to the possibility that BCO mergers could explain short-duration gamma-ray bursts. We present a code designed for simulations of hydrodynamics coupled to the Einstein field equations targeted toward such applications. This code has recently been used to study eccentric mergers of black hole-neutron star binaries. We evolve the fluid conservatively using high-resolution shock capturing methods, while the field equations are solved in the generalized harmonic formulation with finite differences. In order to resolve the various scales that may arise, we use adaptive mesh refinement (AMR) with grid hierarchies based on truncation error estimates. A noteworthy feature of this code is the implementation of the flux correction algorithm of Berger and Colella to ensure that conservation of fluid quantities is respected across AMR boundaries. We present various tests to compare the performance of different limiters and flux calculation methods, as well as to demonstrate the utility of AMR flux corrections.
East William E.
Pretorius Frans
Stephens Branson C.
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