Constraint propagation revisited - Adjusted ADM formulation for numerical relativity

Hisa Aki Shinkai, Gen Yoneda

研究成果: Paper査読

抄録

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.

本文言語English
ページ259-262
ページ数4
出版ステータスPublished - 2006 12 1
イベント16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006 - Niigata, Japan
継続期間: 2006 11 272006 12 1

Conference

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

ASJC Scopus subject areas

  • 原子分子物理学および光学

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