Numerical stability of the Alekseenko-Arnold evolution system compared to the ADM and BSSN systems

被引:10
作者
Jansen, Nina [1 ]
Bruegmann, Bernd
Tichy, Wolfgang
机构
[1] Penn State Univ, Ctr Gravitat Phys & Geometry, University Pk, PA 16802 USA
[2] Penn State Univ, Ctr Gravitat Wave Phys, University Pk, PA 16802 USA
[3] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany
[4] Florida Atlantic Univ, Dept Phys, Boca Raton, FL 33431 USA
来源
PHYSICAL REVIEW D | 2006年 / 74卷 / 08期
关键词
D O I
10.1103/PhysRevD.74.084022
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We explore the numerical stability properties of an evolution system suggested by Alekseenko and Arnold. We examine its behavior on a set of standardized testbeds, and we evolve a single black hole with different gauges. Based on a comparison with two other evolution systems with well-known properties, we discuss some of the strengths and limitations of such simple tests in predicting numerical stability in general.
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页数:14
相关论文
共 35 条
[1]   Towards standard testbeds for numerical relativity [J].
Alcubierre, M ;
Allen, G ;
Bona, C ;
Fiske, D ;
Goodale, T ;
Guzmán, FS ;
Hawke, I ;
Hawley, SH ;
Husa, S ;
Koppitz, M ;
Lechner, C ;
Pollney, D ;
Rideout, D ;
Salgado, M ;
Schnetter, E ;
Seidel, E ;
Shinkai, H ;
Shoemaker, D ;
Szilágyi, B ;
Takahashi, R ;
Winicour, J .
CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (02) :589-613
[2]   Gauge conditions for long-term numerical black hole evolutions without excision -: art. no. 084023 [J].
Alcubierre, M ;
Brügmann, B ;
Diener, P ;
Koppitz, M ;
Pollney, D ;
Seidel, E ;
Takahashi, R .
PHYSICAL REVIEW D, 2003, 67 (08)
[3]   3D grazing collision of two black holes -: art. no. 271103 [J].
Alcubierre, M ;
Benger, W ;
Brügmann, B ;
Lanfermann, G ;
Nerger, L ;
Seidel, E ;
Takahashi, R .
PHYSICAL REVIEW LETTERS, 2001, 87 (27) :271103-271103
[4]   Simple excision of a black hole in 3+1 numerical relativity -: art. no. 104006 [J].
Alcubierre, M ;
Brügmann, B .
PHYSICAL REVIEW D, 2001, 63 (10)
[5]   Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity -: art. no. 124011 [J].
Alcubierre, M ;
Allen, G ;
Brügmann, B ;
Seidel, E ;
Suen, WM .
PHYSICAL REVIEW D, 2000, 62 (12) :1-15
[6]   Symmetry without symmetry:: Numerical simulation of axisymmetric systems using Cartesian grids [J].
Alcubierre, M ;
Brügmann, B ;
Holz, D ;
Takahashi, R ;
Brandt, S ;
Seidel, E ;
Thornburg, J .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2001, 10 (03) :273-289
[7]   Conformal hyperbolic formulation of the Einstein equations -: art. no. 064017 [J].
Alcubierre, M ;
Brügmann, B ;
Miller, M ;
Suen, WM .
PHYSICAL REVIEW D, 1999, 60 (06)
[8]   New first-order formulation for the Einstein equations [J].
Alekseenko, AM ;
Arnold, DN .
PHYSICAL REVIEW D, 2003, 68 (06)
[9]   3-DIMENSIONAL NUMERICAL RELATIVITY - THE EVOLUTION OF BLACK-HOLES [J].
ANNINOS, P ;
CAMARDA, K ;
MASSO, J ;
SEIDEL, E ;
SUEN, WM ;
TOWNS, J .
PHYSICAL REVIEW D, 1995, 52 (04) :2059-2082
[10]  
[Anonymous], 1998, BLACK HOLE PHYS BASI