A spectral approach to numerical simulations of the ADM equations
Abstract
We present a numerical study of the Einstein equations, according to the Arnowitt-Deser-Misner (ADM) formalism, in order to simulate the dynamics of gravitational fields. We took in consideration the original decomposition of the ADM equations, in vacuum conditions, in simplified geometries. The numerical code is based on spectral methods, making use of filtering (de-aliasing) techniques. The algorithm has been stabilized via an adaptive time-refinement, based on a procedure that checks self-consistently the regularity of the solutions. The accuracy of our numerical model has been validated through a series of standard tests. Finally, we present also a new kind of initial data that can be used for testing numerical codes.
Keywords
Cite
@article{arxiv.1909.03055,
title = {A spectral approach to numerical simulations of the ADM equations},
author = {C. Meringolo and S. Servidio and P. Veltri},
journal= {arXiv preprint arXiv:1909.03055},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:gr-qc/0305023 by other authors