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

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to conference › Paper › peer-review

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 language	English
Pages	126-129
Number of pages	4
Publication status	Published - 2011 Jan 1
Event	21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011 - Sendai, Japan Duration: 2011 Sept 26 → 2011 Sept 29

Conference

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

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

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title = "Constraint propagation and constraint-damping in the c2-Adjusted formulation",

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.",

author = "Takuya Tsuchiya and Gen Yoneda and Shinkai, {Hisa Aki}",

year = "2011",

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AU - Tsuchiya, Takuya

AU - Yoneda, Gen

AU - Shinkai, Hisa Aki

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Y1 - 2011/1/1

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.

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M3 - Paper

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T2 - 21st Workshop on General Relativity and Gravitation in Japan, JGRG 2011

Y2 - 26 September 2011 through 29 September 2011

ER -

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

Abstract

Conference

ASJC Scopus subject areas

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