Computational Relativistic Astrophysics With Adaptive Mesh Refinement: Testbeds

Abstract

We have carried out numerical simulations of strongly gravitating systems based on the Einstein equations coupled to the relativistic hydrodynamic equations using adaptive mesh refinement (AMR) techniques. We show AMR simulations of NS binary inspiral and coalescence carried out on a workstation having an accuracy equivalent to that of a $1025^3$ regular unigrid simulation, which is, to the best of our knowledge, larger than all previous simulations of similar NS systems on supercomputers. We believe the capability opens new possibilities in general relativistic simulations.

7 pages, 16 figures

References in corpus (12)

• Evolutions in 3D numerical relativity using fixed mesh refinement
• Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity. I. Method and tests
• Merger of binary neutron stars of unequal mass in full general relativity
• Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity. III. Identical and different mass stars with gamma=2
• Towards a Realistic Neutron Star Binary Inspiral: Initial Data and Multiple Orbit Evolution in Full General Relativity
• Evolving a puncture black hole with fixed mesh refinement
• Mergers of Irrotational Neutron Star Binaries in Conformally Flat Gravity
• Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries
• Adaptive Mesh Refinement for Characteristic Codes
• Adaptive mesh refinement approach to construction of initial data for black hole collisions
• Three-dimensional adaptive evolution of gravitational waves in numerical relativity
• General Relativistic Numerical Simulation on Coalescing Binary Neutron Stars and Gauge-Invariant Gravitational Wave Extraction

Cited by in corpus (7)

• Merger of binary neutron stars to a black hole: Disk mass, short gamma-ray bursts, and quasinormal mode ringing
• Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
• Numerical relativity simulations of neutron star merger remnants using conservative mesh refinement
• AMR, stability and higher accuracy
• Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
• Spherical Symmetric Solution in f(R) Model Around Charged Black Hole
• Momentum constraint relaxation