### 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 C^{2} 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 |
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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 26 → 2011 9 29 |

### Other

Other | 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 |
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市 | Sendai |

期間 | 11/9/26 → 11/9/29 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### これを引用

^{2}-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 c ^{2}-Adjusted formulation.** / Tsuchiya, Takuya; Yoneda, Gen; Shinkai, Hisa Aki.

研究成果: Conference contribution

^{2}-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.

^{2}-Adjusted formulation. ： Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011. Kyoto University. 2011. p. 126-129

}

TY - GEN

T1 - Constraint propagation and constraint-damping in the c2-Adjusted formulation

AU - Tsuchiya, Takuya

AU - Yoneda, Gen

AU - Shinkai, Hisa Aki

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84887426207&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887426207&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887426207

SP - 126

EP - 129

BT - Proceedings of the 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011

PB - Kyoto University

ER -