An Improved Gauge Driver for the Generalized Harmonic Einstein System
arXiv:0904.4873 · doi:10.1103/PhysRevD.80.084019
Abstract
A new gauge driver is introduced for the generalized harmonic (GH) representation of Einstein's equation. This new driver allows a rather general class of gauge conditions to be implemented in a way that maintains the hyperbolicity of the combined evolution system. This driver is more stable and effective, and unlike previous drivers, allows stable evolutions using the dual-frame evolution technique. Appropriate boundary conditions for this new gauge driver are constructed, and a new boundary condition for the ``gauge'' components of the spacetime metric in the GH Einstein system is introduced. The stability and effectiveness of this new gauge driver are demonstrated through numerical tests, which impose a new damped-wave gauge condition on the evolutions of single black-hole spacetimes.
v2: final version to be published in PRD; 15 pages, 5 figures
References in corpus (13)
- Evolution of Binary Black Hole Spacetimes
- A New Generalized Harmonic Evolution System
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
- Solving Einstein's Equations With Dual Coordinate Frames
- Excision boundary conditions for black hole initial data
- Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
- Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
- Testing outer boundary treatments for the Einstein equations
- Boundary Conditions for the Einstein Evolution System
- Implementation of higher-order absorbing boundary conditions for the Einstein equations
- Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity
- Gauge Drivers for the Generalized Harmonic Einstein Equations
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