Constraint propagation of c2-Adjusted equations - Another recipe for robust evolution systems

Takuya Tsuchiya*, Gen Yoneda, Hisa Aki Shinkai

*この研究の対応する著者

研究成果: Paper査読

抄録

We focus the formulation problem in numerical relativity, propose new sets of evolution equations, and demonstrate some numerical tests. The goal is to construct a robust evolution system against numerical instability during long-term numerical integration in strong gravitational field. One key idea is to adjust the evolution equations with constraint terms, as was systematically formulated by Yoneda and Shinkai. We here apply an adjusting method proposed by Fiske (2004) which uses the norm of constraints, C2, and does not require the background metric for specifying effective Lagrange multipliers. We present sets of evolution equations both in ADM and BSSN formulations and show numerical tests using Gowdy wave propagation. Detail analyses are in progress, but we observe constraint damping effect as expected.

本文言語English
ページ363-366
ページ数4
出版ステータスPublished - 2009 12 1
イベント19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan
継続期間: 2009 11 302009 12 4

Conference

Conference19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
国/地域Japan
CityTokyo
Period09/11/3009/12/4

ASJC Scopus subject areas

  • 原子分子物理学および光学

フィンガープリント

「Constraint propagation of c<sup>2</sup>-Adjusted equations - Another recipe for robust evolution systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル