A New Generalized Harmonic Evolution System
Lee Lindblom, Mark A. Scheel, Lawrence E. Kidder, Robert Owen, and, Oliver Rinne
TL;DR
This paper introduces a novel first-order, linearly degenerate, symmetric hyperbolic formulation of Einstein's equations using the generalized harmonic method, effectively suppressing constraint violations and ensuring boundary condition preservation.
Contribution
It presents a new generalized harmonic evolution system with improved constraint suppression and boundary condition handling for numerical relativity.
Findings
Effective suppression of small short-wavelength constraint violations.
Successful implementation of physical and constraint-preserving boundary conditions.
Numerical tests demonstrate the system's stability and accuracy.
Abstract
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.
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