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Updated: Mar 7, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Numerical Hydrodynamics in General Relativity
1Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, D-85740, Garching, Germany.
Abstract:
The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. Different formulations of the equations are presented, with special mention of conservative and hyperbolic formulations well-adapted to advanced numerical methods. A representative sample of available numerical schemes is discussed and particular emphasis is paid to solution procedures based on schemes exploiting the characteristic structure of the equations through linearized Riemann solvers. A comprehensive summary of relevant astrophysical simulations in strong gravitational fields, including gravitational collapse, accretion onto black holes and evolution of neutron stars, is also presented.
Electronic Supplementary Material:
Supplementary material is available for this article at 10.12942/lrr-2000-2.
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