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.
|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 27 → 2006 12 1
|Conference||16th Workshop on General Relativity and Gravitation in Japan, JGRG 2006|
|Period||06/11/27 → 06/12/1|
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