Constraint propagation and constraint-damping in the c2-Adjusted formulation

Takuya Tsuchiya, Gen Yoneda, Hisa Aki Shinkai

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In order to perform accurate and stable long-term numerical calculations, we con- struct new sets of ADM and BSSN evolution equations by adjusting constraints to their right-hand-sides. We apply a method suggested by Fiske (2004), which adds functional derivative of the norm of constraints, C 2. We derive their constraint prop- Agation equations (evolution equations of constraints) in at spacetime, which show that C2 itself evolve decaying. We also perform numerical tests with the polarized Gowdy-wave testbed, and show that the constraint-damping appears. The life-times of the standard ADM and BSSN simulations are improved as about twice as longer.

    Original languageEnglish
    Title of host publicationProceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
    PublisherKyoto University
    Pages126-129
    Number of pages4
    Publication statusPublished - 2011
    Event21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai
    Duration: 2011 Sep 262011 Sep 29

    Other

    Other21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
    CitySendai
    Period11/9/2611/9/29

      Fingerprint

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Tsuchiya, T., Yoneda, G., & Shinkai, H. A. (2011). Constraint propagation and constraint-damping in the c2-Adjusted formulation. In Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 (pp. 126-129). Kyoto University.