Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
arXiv:1008.1820 · doi:10.1103/PhysRevD.82.104051
Abstract
We present a high-order accurate discontinuous Galerkin method for evolving the spherically-reduced Baumgarte-Shapiro-Shibata-Nakamura (BSSN) system expressed in terms of second-order spatial operators. Our multi-domain method achieves global spectral accuracy and long-time stability on short computational domains. We discuss in detail both our scheme for the BSSN system and its implementation. After a theoretical and computational verification of the proposed scheme, we conclude with a brief discussion of issues likely to arise when one considers the full BSSN system.
35 pages, 6 figures, 1 table, uses revtex4. Revised in response to referee's report
References in corpus (21)
- LIGO: The Laser Interferometer Gravitational-Wave Observatory
- Calibration of Moving Puncture Simulations
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- Solving Einstein's Equations With Dual Coordinate Frames
- Binary black-hole evolutions of excision and puncture data
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- The last orbit of binary black holes
- Geometry and Regularity of Moving Punctures
- Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
- Filling the holes: Evolving excised binary black hole initial data with puncture techniques
- Binary black hole merger: symmetry and the spin expansion
- An explicit harmonic code for black-hole evolution using excision
- Excision without excision: the relativistic turducken
- Analytical Representation of a Black Hole Puncture Solution
- Puncture Evolution of Schwarzschild Black Holes
- Status of black-hole-binary simulations for gravitational-wave detection
- Binary black holes on a budget: Simulations using workstations
- Black hole evolution with the BSSN system by pseudo-spectral methods
- BSSN in Spherical Symmetry
- Probing the puncture for black hole simulations
- Constraint Damping in First-Order Evolution Systems for Numerical Relativity