Discontinuous Galerkin method for the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura system with second-order operators

作者：Field Scott E^*; Hesthaven Jan S; Lau Stephen R; Mroue Abdul H

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, 82(10): 104051.

DOI：10.1103/PhysRevD.82.104051

We present a high-order accurate discontinuous Galerkin method for evolving the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura (BSSN) system expressed in terms of second-order spatial operators. Our multidomain method achieves global spectral accuracy and longtime stability on short computational domains. We discuss in detail both our scheme for the BSSN system and its implementation. After a theoretical and computational verification of the proposed scheme, we conclude with a brief discussion of issues likely to arise when one considers the full BSSN system.

• 出版日期2010-11-24