Long term black hole evolution with the BSSN system by pseudospectral methods
arXiv:0911.0973 · doi:10.1103/PhysRevD.80.104034
Abstract
We present long term evolutions of a single black hole of mass with the BSSN system using pseudospectral methods. For our simulations we use the SGRID code where the BSSN system is implemented in its standard second order in space form. Previously we found that such simulations are quite unstable. The main goal of this paper is to present two improvements which now allow us to evolve for longer times. The first improvement is related to the boundary conditions at the excised black hole interior. We now use a gauge condition that ensures that all modes are going into the black hole, so that no boundary conditions are needed at the excision surface. The second more significant improvement has to do with our particular numerical method and involves filters based on projecting the double Fourier expansions used for the angular dependence onto Spherical Harmonics. With these two improvements it is now easily possible to evolve for several thousand . The only remaining limitation seems to be the radiative outer boundary conditions used here. Yet this problem can be ameliorated by pushing out the location of the outer boundary, which leads to even longer run-times.
10 pages, 15 figures. Corrected typos
References in corpus (37)
- Total recoil: the maximum kick from nonspinning black-hole binary inspiral
- Calibration of Moving Puncture Simulations
- Supermassive recoil velocities for binary black-hole mergers with antialigned spins
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- Binary black hole merger dynamics and waveforms
- On the final spin from the coalescence of two black holes
- Solving Einstein's Equations With Dual Coordinate Frames
- Getting a kick out of numerical relativity
- Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
- Spin Flips and Precession in Black-Hole-Binary Mergers
- Exploring black hole superkicks
- Binary black-hole evolutions of excision and puncture data
- High-spin binary black hole mergers
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- The final mass and spin of black hole mergers
- Black Hole Mergers and Unstable Circular Orbits
- The last orbit of binary black holes
- The final spin from the coalescence of aligned-spin black-hole binaries
- Binary black hole mergers: large kicks for generic spin orientations
- Binary Black Holes: Spin Dynamics and Gravitational Recoil
- Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
- Spin-orbit interactions in black-hole binaries
- Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
- Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
- Binary black holes' effects on electromagnetic fields
- Superkicks in Hyperbolic Encounters of Binary Black Holes
- Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binaries
- A new numerical method to construct binary neutron star initial data
- Status of NINJA: the Numerical INJection Analysis project
- Close encounters of three black holes
- Binary black holes on a budget: Simulations using workstations
- Black hole evolution with the BSSN system by pseudo-spectral methods
- Self-force with (3+1) codes: a primer for numerical relativists
- Orbiting binary black hole evolutions with a multipatch high order finite-difference approach
- Binary Black Hole Encounters, Gravitational Bursts and Maximum Final Spin
- Binary black hole evolutions of approximate puncture initial data
- Numerical performance of the parabolized ADM (PADM) formulation of General Relativity
Cited by in corpus (32)
- Closed-form tidal approximants for binary neutron star gravitational waveforms constructed from high-resolution numerical relativity simulations
- Gravitational waves and mass ejecta from binary neutron star mergers: Effect of the mass-ratio
- Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
- Mergers of binary neutron stars with realistic spin
- Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
- Gravitational waves and mass ejecta from binary neutron star mergers: Effect of the stars' rotation
- A new public code for initial data of unequal-mass, spinning compact-object binaries
- Constructing quasi-equilibrium initial data for binary neutron stars with arbitrary spins
- Initial data for binary neutron stars with arbitrary spins
- Second release of the CoRe database of binary neutron star merger waveforms
- Gravitational waves and mass ejecta from binary neutron star mergers: Effect of large eccentricities
- Solving 3D relativistic hydrodynamical problems with WENO discontinuous Galerkin methods
- Constructing Binary Neutron Star Initial Data with High Spins, High Compactness, and High Mass-Ratios
- Numerical stability of the Z4c formulation of general relativity
- Numerical simulations with a first order BSSN formulation of Einstein's field equations
- Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
- A Simple method to set up low eccentricity initial data for moving puncture simulations
- A pseudospectral matrix method for time-dependent tensor fields on a spherical shell
- Gravitational waves and mass ejecta from binary neutron star mergers: Effect of the spin orientation
- An Operator-Based Local Discontinuous Galerkin Method Compatible With the BSSN Formulation of the Einstein Equations
- A high-order shock capturing discontinuous Galerkin-finite-difference hybrid method for GRMHD
- A spectral method algorithm for numerical simulations of gravitational fields
- Extreme Gravitational Interactions in the Problem of Three Black Holes in General Relativity
- Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
- Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II
- High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
- New efficient algorithm for the isometric embedding of 2-surface metrics in 3 dimensional Euclidean space
- On the stability of covariant BSSN formulation
- Effect of spin in binary neutron star mergers
- Investigating the mass-ratio dependence of the prompt-collapse threshold with numerical-relativity simulations
- Aliasing Instabilities in the Numerical Evolution of the Einstein Field Equations
- Eccentricity reduction of binary neutron star initial data with the entropy based flux limiting scheme