Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems

Takuya Tsuchiya, Gen Yoneda, Hisa Aki Shinkai

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

    Abstract

    We focus the formulation problem in numerical relativity, propose new sets of evolution equations, and demonstrate some numerical tests. The goal is to construct a robust evolution system against numerical instability during long-term numerical integration in strong gravitational field. One key idea is to adjust the evolution equations with constraint terms, as was systematically formulated by Yoneda and Shinkai. We here apply an adjusting method proposed by Fiske (2004) which uses the norm of constraints, C2, and does not require the background metric for specifying effective Lagrange multipliers. We present sets of evolution equations both in ADM and BSSN formulations and show numerical tests using Gowdy wave propagation. Detail analyses are in progress, but we observe constraint damping effect as expected.

    Original languageEnglish
    Title of host publicationProceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
    Pages363-366
    Number of pages4
    Publication statusPublished - 2009
    Event19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo
    Duration: 2009 Nov 302009 Dec 4

    Other

    Other19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
    CityTokyo
    Period09/11/3009/12/4

    Fingerprint

    propagation
    formulations
    Lagrange multipliers
    numerical integration
    norms
    gravitational fields
    relativity
    wave propagation
    damping
    adjusting

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Tsuchiya, T., Yoneda, G., & Shinkai, H. A. (2009). Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 (pp. 363-366)

    Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems. / Tsuchiya, Takuya; Yoneda, Gen; Shinkai, Hisa Aki.

    Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 363-366.

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

    Tsuchiya, T, Yoneda, G & Shinkai, HA 2009, Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems. in Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. pp. 363-366, 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, 09/11/30.
    Tsuchiya T, Yoneda G, Shinkai HA. Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 363-366
    Tsuchiya, Takuya ; Yoneda, Gen ; Shinkai, Hisa Aki. / Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems. Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. pp. 363-366
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