A NEW DISSIPATION TERM FOR FINITE-DIFFERENCE SIMULATIONS IN RELATIVITY

被引：0

作者：

Alic, D. ^{[1
]}

Bona, C. ^{[1
]}

Bona-Casas, C. ^{[1
]}

机构：

[1] Univ Illes Balears, Dept Fis, Palma de Mallorca, Spain

来源：

SPANISH RELATIVITY MEETING, ERE2007: RELATIVISTIC ASTROPHYSICS AND COSMOLOGY | 2008年 / 30卷

关键词：

D O I：

10.1051/eas:0830029

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a new numerical dissipation algorithm, which can be efficiently used in combination with centered finite-difference methods. We start from a formulation of centered finite-volume methods for Numerical Relativity, in which third-order space accuracy can be obtained by employing just piecewise-linear reconstruction. We obtain a simplified version of the algorithm, which can be viewed as a centered finite-difference method plus some "adaptive dissipation". The performance of this algorithm is confirmed by numerical results obtained from 3D black hole simulations.

引用

页码：213 / 217

页数：5

共 50 条

[41] Consistent modeling of boundaries in acoustic finite-difference time-domain simulations
Haggblad, Jon
Engquist, Bjoern
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2012, 132 (03): : 1303 - 1310
[42] Application of compact finite-difference schemes to simulations of stably stratified fluid flows
Bodnar, T.
Benes, L.
Fraunie, Ph.
Kozel, K.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (07) : 3336 - 3353
[43] THE RICHTMYER MODIFICATION OF THE FULLY IMPLICIT FINITE-DIFFERENCE ALGORITHM FOR SIMULATIONS OF ELECTROCHEMICAL PROBLEMS
MOCAK, J
FELDBERG, SW
[J]. JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1994, 378 (1-2) : 31 - 37
[44] IRREGULAR GRID FINITE-DIFFERENCE TECHNIQUES - SIMULATIONS OF OSCILLATIONS IN SHALLOW CIRCULAR BASINS
THACKER, WC
[J]. JOURNAL OF PHYSICAL OCEANOGRAPHY, 1977, 7 (02) : 284 - 292
[45] EFFICIENCY OF ELECTROCHEMICAL KINETIC SIMULATIONS BY ORTHOGONAL COLLOCATION AND FINITE-DIFFERENCE METHODS - A COMPARISON
BIENIASZ, LK
BRITZ, D
[J]. ACTA CHEMICA SCANDINAVICA, 1994, 48 (07): : 609 - 610
[46] Biomolecular dynamics simulations based on the finite-difference Poisson-Boltzmann method
Cai, Qin
Ye, Xiang
Wang, Jun
Hsieh, Mengjueh
Luo, Ray
[J]. ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2010, 240
[47] Finite-Difference Time-Domain simulations of photonic crystal defect structures
Hess, O
Hermann, C
Klaedtke, A
[J]. PHYSICA STATUS SOLIDI A-APPLIED RESEARCH, 2003, 197 (03): : 605 - 619
[48] EFFICIENCY OF ELECTROCHEMICAL KINETIC SIMULATIONS BY ORTHOGONAL COLLOCATION AND FINITE-DIFFERENCE METHODS - A COMPARISON
BIENIASZ, LK
BRITZ, D
[J]. ACTA CHEMICA SCANDINAVICA, 1993, 47 (08): : 757 - 767
[49] Electromagnetic Pulse Simulations Using Finite-Difference Time-Domain Method
Shea, John J.
[J]. IEEE ELECTRICAL INSULATION MAGAZINE, 2022, 38 (01) : 35 - 35
[50] FINITE-DIFFERENCE SIMULATIONS OF NOISE PROBLEMS CAUSED BY NEAR-SURFACE HETEROGENEITY
LEVANDER, AR
HILL, NR
[J]. GEOPHYSICS, 1985, 50 (02) : 312 - 313

← 1 2 3 4 5 →