A new generalized harmonic evolution system

By L. Lindblom, Mark A. Scheel, Lawrence E. Kidder, Robert Owen, O. Rinne. 2005

279 citations recorded by the source corpus.

A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate and symmetric hyperbolic. This new system uses the generalized harmonic method to specify the coordinates, and exponentially suppresses all small short-wavelength constraint violations. Physical and constraint-preserving boundary conditions are derived for this system, and numerical tests that demonstrate the effectiveness of the constraint suppression properties and the constraint-preserving boundary conditions are presented.

Subfields: Electrical and Electronic Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7c20b73690c41cd36a024dd52127430a4ab5aeb7

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In Numerical Analysis

In Statistical and Nonlinear Physics

Citations in the corpus

Reducing orbital eccentricity in binary black hole simulations (2007, methodology): “This code evolves a first-order representation [32] of the generalized harmonic system [33, 34].”
Black-hole binaries, gravitational waves, and numerical relativity (2010, methodology): “, 2003) or constraint-preserving boundary condition (Lindblom et al., 2006).”
Surrogate model of hybridized numerical relativity binary black hole waveforms (2018, methodology): “The NR simulations for this model are performed using the Spectral Einstein Code (SpEC) [51–56] developed by the SXS [57] collaboration.”
Numerical methods for finding stationary gravitational solutions (2015, background): “[13] L.”