A spectral method algorithm for numerical simulations of gravitational fields

DOI10.1088/1361-6382/abdd0bzbMath1481.83023arXiv2011.10354OpenAlexW3124904716MaRDI QIDQ5163339

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Publication date: 3 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10354

zbMATH Keywords

numerical relativitygravitational testbedsBSSNADM formulation

Mathematics Subject Classification ID

Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Observational and experimental questions in relativity and gravitational theory (83B05)

Related Items (5)

Extreme gravitational interactions in the problem of three black holes in general relativity ⋮ On the stability of covariant BSSN formulation ⋮ Aliasing instabilities in the numerical evolution of the Einstein field equations ⋮ Lessons for adaptive mesh refinement in numerical relativity ⋮ A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD

Uses Software

• Einstein Toolkit
• GRChombo

Cites Work

• Republication of: The dynamics of general relativity
• Spectral methods for numerical relativity
• Spectral methods for problems in complex geometries
• Compact finite difference schemes with spectral-like resolution
• Initial data for numerical relativity
• Numerical convergence study of nearly incompressible, inviscid Taylor-Green vortex flow
• GRChombo  : Numerical relativity with adaptive mesh refinement
• Key elements of robustness in binary black hole evolutions using spectral methods
• The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• Numerical integration of Einstein’s field equations
• Implementation of standard testbeds for numerical relativity
• BSSN in spherical symmetry
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks
• Evolutions in 3D numerical relativity using fixed mesh refinement
• Towards standard testbeds for numerical relativity
• Adjusted ADM systems and their expected stability properties: constraint propagation analysis in Schwarzschild spacetime
• Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
• The Kerr metric
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Introduction to 3+1 Numerical Relativity
• Simulation of binary black hole spacetimes with a harmonic evolution scheme
• Maximal Analytic Extension of the Kerr Metric
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