Numerical simulations with a first-order BSSN formulation of Einstein%26apos;s field equations

作者：Brown J David^*; Diener Peter; Field Scott E; Hesthaven Jan S; Herrmann Frank; Mroue Abdul H; Sarbach Olivier; Schnetter Erik; Tiglio Manuel; Wagman Michael

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2012, 85(8): 084004.

DOI：10.1103/PhysRevD.85.084004

We present a new fully first-order strongly hyperbolic representation of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein%26apos;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.

• 出版日期2012-4-2