A spectral method algorithm for numerical simulations of gravitational fields

被引：12

作者：

Meringolo, C. ^{[1
]}

Servidio, S. ^{[1
]}

Veltri, P. ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Fis, I-87036 Cosenza, Italy

来源：

CLASSICAL AND QUANTUM GRAVITY | 2021年 / 38卷 / 07期

关键词：

numerical relativity; gravitational testbeds; ADM formulation; BSSN; FINITE-DIFFERENCE SCHEMES; RELATIVITY; TURBULENCE; DYNAMICS; WAVES;

D O I：

10.1088/1361-6382/abdd0b

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A numerical study of the Einstein field equations, based on the 3 + 1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuum, within two different formalisms, namely the Arnowitt-Deser-Misner (ADM) and the conformal Baumgarte-Shapiro-Shibata-Nakamura (BSSN) approach. The numerical code is based on the Fourier decomposition, accompanied by different filtering techniques. The role of the dealiasing, as well as the influence of the filter type, has been investigated. The algorithms have been stabilized via a novel procedure that controls self-consistently the regularity of the solutions. The accuracy of the model has been validated through standard testbeds, revealing that the filtered pseudo-spectral technique is among the most accurate approaches. Finally, the procedure has been stressed via black hole dynamics and a new strategy, based on hyperviscous dissipation that suppresses spurious boundary problems, has been proposed. The model represents a valid tool of investigation, particularly suitable for the inspection of small scale nonlinear phenomena in gravitational dynamics.

引用

页数：34

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