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

Takuya Tsuchiya, Gen Yoneda, Hisa Aki Shinkai

Research output: Contribution to conferencePaper

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.

Original languageEnglish
Pages126-129
Number of pages4
Publication statusPublished - 2011 Jan 1
Event21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan
Duration: 2011 Sep 262011 Sep 29

Conference

Conference21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011
CountryJapan
CitySendai
Period11/9/2611/9/29

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Tsuchiya, T., Yoneda, G., & Shinkai, H. A. (2011). Constraint propagation and constraint-damping in the c2-Adjusted formulation. 126-129. Paper presented at 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011, Sendai, Japan.