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arXiv · 1008.1820

Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators

Scott E. Field·Jan S. Hesthaven·Stephen R. Lau·Abdul H. Mroue
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Abstract

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 multi-domain method achieves global spectral accuracy and long-time 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.

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Scott E. Field, Jan S. Hesthaven, Stephen R. Lau, Abdul H. Mroue. 2010-12-18. Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators. https://doi.org/10.1103/physrevd.82.104051

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