1 Introduction

Numerical Hydrodynamics in General Relativity

Update available: http://www.livingreviews.org/lrr-2008-7

José A. Font
Max-Planck-Institut für Astrophysik
Karl-Schwarzschild-Str. 1
D-85740 Garching, Germany

(Accepted 28 March 2000)


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.

1 Introduction

image Numerical Hydrodynamics in General Relativity
José A. Font
© Max-Planck-Gesellschaft. ISSN 1433-8351
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