Constraint propagation revisited - Adjusted ADM formulation for numerical relativity

Hisa Aki Shinkai, Gen Yoneda

Research output: Contribution to conferencePaper

Abstract

Formulation of the Einstein equations is one of the necessary implements for realizing long-term stable and accurate numerical simulations. We re-examine our formulation scheme, that intends to construct a dynamical system which evolves toward the constraint surface as the attractor, by adjusting evolution equations with constraints. We propose an additional guideline which may delay the final blow-up. The new idea is to avoid multipliers to the evolution equations which produce non-linear growth of the constraints in the later stage. Slight but actual improvement can be seen in our test simulations.

Original languageEnglish
Pages259-262
Number of pages4
Publication statusPublished - 2006 Dec 1
Event16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata, Japan
Duration: 2006 Nov 272006 Dec 1

Conference

Conference16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006
CountryJapan
CityNiigata
Period06/11/2706/12/1

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Shinkai, H. A., & Yoneda, G. (2006). Constraint propagation revisited - Adjusted ADM formulation for numerical relativity. 259-262. Paper presented at 16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006, Niigata, Japan.