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

Takuya Tsuchiya; Gen Yoneda; Hisa Aki Shinkai

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

Takuya Tsuchiya^*, Gen Yoneda, Hisa Aki Shinkai

^*この研究の対応する著者

基幹理工学部

研究成果: Paper › 査読

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.

本文言語	English
ページ	126-129
ページ数	4
出版ステータス	Published - 2011 1月 1
イベント	21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan 継続期間: 2011 9月 26 → 2011 9月 29

Conference

Conference	21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
国/地域	Japan
City	Sendai
Period	11/9/26 → 11/9/29

ASJC Scopus subject areas

原子分子物理学および光学

他のファイルとリンク

引用スタイル

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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.",

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