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.
|出版物ステータス||Published - 2011 1 1|
|イベント||21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan|
継続期間: 2011 9 26 → 2011 9 29
|Conference||21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011|
|期間||11/9/26 → 11/9/29|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics