Numerical simulations with a first-order BSSN formulation of Einstein's field equations

We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's equations with optional constraint damping terms. We describe the characteristic fields of the system, discuss its hyperbolicity properties, and present two numerical implementations and simulations: one using finite differences, adaptive mesh refinement, and, in particular, binary black holes, and another one using the discontinuous Galerkin method in spherical symmetry. The results of this paper constitute a first step in an effort to combine the robustness of Baumgarte-Shapiro-Shibata-Nakamura evolutions with very high accuracy numerical techniques, such as spectral collocation multidomain or discontinuous Galerkin methods.


Published in:
Physical Review D, 85, 8, 084004
Year:
2012
Publisher:
AMER PHYSICAL SOC
ISSN:
1550-7998
Laboratories:




 Record created 2013-11-12, last modified 2018-03-17

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