Spectral characteristic evolution: a new algorithm for gravitational wave propagation

被引：26
作者：
Handmer, Casey J. [1 ]
Szilagyi, Bela [1 ]
机构：
[1] CALTECH, Pasadena, CA 91125 USA
来源：
CLASSICAL AND QUANTUM GRAVITY | 2015年 / 32卷 / 02期
基金：
美国国家科学基金会;
关键词：
numerical relativity; gravitational radiation; general relativity; algorithm; spectral;
D O I：
10.1088/0264-9381/32/2/025008
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in the Bondi framework. Developed within the Spectral Einstein Code, we demonstrate spectral characteristic evolution as a technical precursor to Cauchy characteristic extraction, a rigorous method for obtaining gauge-invariant gravitational waveforms from existing and future astrophysical simulations. We demonstrate the new algorithm's stability, convergence, and agreement with existing evolution methods. We explain how an innovative spectral approach enables a two orders of magnitude improvement in computational efficiency.
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收藏
页数：24
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