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Numerical Hydrodynamics and Magnetohydrodynamics in General Relativity
Living Reviews in Relativity, 2008 This article presents a comprehensive overview of numerical hydrodynamics and magnetohydrodynamics (MHD) in general relativity. Some significant additions have been incorporated with respect to the previous two versions of this review (2000, 2003), most ...
Font José A.
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Towards standard testbeds for numerical relativity [PDF]
Classical and Quantum Gravity, 2003 In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community for decades. Some of these approaches have been tested on different spacetimes, and conclusions have been drawn based on these tests. However, differences
Miguel Alcubierre +20 more
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NUMERICAL RELATIVITY: STATUS AND PROSPECTS [PDF]
General Relativity and Gravitation, 2002 We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important messages so far hidden in the theory.
LUIS LEHNER
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Numerical Relativity as a New Tool for Fundamental Cosmology
Physics, 2022 Advances in our understanding of the origin, evolution, and structure of the universe have long been driven by cosmological perturbation theory, model building, and effective field theory.
Anna Ijjas
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Multimessenger Binary Mergers Containing Neutron Stars: Gravitational Waves, Jets, and γ-Ray Bursts
Frontiers in Astronomy and Space Sciences, 2021 Neutron stars (NSs) are extraordinary not only because they are the densest form of matter in the visible Universe but also because they can generate magnetic fields ten orders of magnitude larger than those currently constructed on earth.
Milton Ruiz +3 more
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The Lagrangian numerical relativity code SPHINCS_BSSN_v1.0
Frontiers in Applied Mathematics and Statistics, 2023 We present version 1.0 of our Lagrangian numerical relativity code SPHINCS_BSSN. This code evolves the full set of Einstein equations, but contrary to other numerical relativity codes, it evolves the matter fluid via Lagrangian particles in the framework
Stephan Rosswog +4 more
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Numerical relativity beyond astrophysics [PDF]
Reports on Progress in Physics, 2016 Though the main applications of computer simulations in relativity are to astrophysical systems such as black holes and neutron stars, nonetheless there are important applications of numerical methods to the investigation of general relativity as a fundamental theory of the nature of space and time.
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Finding apparent horizons in numerical relativity [PDF]
Physical Review D, 1996 This paper presents a detailed discussion of the ``Newton's method'' algorithm for finding apparent horizons in 3+1 numerical relativity. We describe a method for computing the Jacobian matrix of the finite differenced $H(h)$ function by symbolically differentiating the finite difference equations, giving the Jacobian elements directly in terms of the ...
Jonathan Thornburg
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Inhomogeneous cosmology with numerical relativity [PDF]
Physical Review D, 2017 We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view towards quantifying non-linear effects from cosmological inhomogeneities. We demonstrate fourth-order convergence with errors less than one part in 10^6 in evolving a flat, dust Friedmann-Lemaitre-Roberston-Walker (FLRW ...
Macpherson, Hayley J +2 more
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An ADM 3+1 formulation for Smooth Lattice General Relativity [PDF]
, 1997 A new hybrid scheme for numerical relativity will be presented. The scheme will employ a 3-dimensional spacelike lattice to record the 3-metric while using the standard 3+1 ADM equations to evolve the lattice.
Barret J W +5 more
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