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

Takuya Tsuchiya, Gen Yoneda, Hisa Aki Shinkai

    研究成果: Conference contribution

    抄録

    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.

    元の言語English
    ホスト出版物のタイトルProceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
    出版者Kyoto University
    ページ126-129
    ページ数4
    出版物ステータスPublished - 2011
    イベント21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai
    継続期間: 2011 9 262011 9 29

    Other

    Other21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
    Sendai
    期間11/9/2611/9/29

    Fingerprint

    damping
    formulations
    propagation
    norms
    adjusting
    life (durability)
    simulation

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    これを引用

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

    Constraint propagation and constraint-damping in the c2-Adjusted formulation. / Tsuchiya, Takuya; Yoneda, Gen; Shinkai, Hisa Aki.

    Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011. Kyoto University, 2011. p. 126-129.

    研究成果: Conference contribution

    Tsuchiya, T, Yoneda, G & Shinkai, HA 2011, Constraint propagation and constraint-damping in the c2-Adjusted formulation. : Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011. Kyoto University, pp. 126-129, 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011, Sendai, 11/9/26.
    Tsuchiya T, Yoneda G, Shinkai HA. Constraint propagation and constraint-damping in the c2-Adjusted formulation. : Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011. Kyoto University. 2011. p. 126-129
    Tsuchiya, Takuya ; Yoneda, Gen ; Shinkai, Hisa Aki. / Constraint propagation and constraint-damping in the c2-Adjusted formulation. Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011. Kyoto University, 2011. pp. 126-129
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