Relativistic Flows in Astrophysics
DOI: 10.1007/3-540-46025-x_9
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3D Relativistic Hydrodynamics

Abstract: Abstract. We review the evolution of the numerical techniques applied in relativistic hydrodynamics since the sixties until today. We focus our attention on the state-ofthe-art high-resolution shock-capturing methods and the astrophysical applications involving three-dimensional simulations.

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Cited by 3 publications
(3 citation statements)
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“…12). Since they are radiation dominated the pressure variations effectively decouple from the density fluctuations (Aloy et al 2002). While the radiation pressure displays rather small variability across and along the fireball and falls almost monotonically about 15 orders of magnitude in the radial direction, the density variation in the same direction is more than 50 orders of magnitude and clearly non-monotonic (Fig.…”
Section: Dependence On the Half-opening Angle Of The Energy Depositiomentioning
confidence: 98%
See 1 more Smart Citation
“…12). Since they are radiation dominated the pressure variations effectively decouple from the density fluctuations (Aloy et al 2002). While the radiation pressure displays rather small variability across and along the fireball and falls almost monotonically about 15 orders of magnitude in the radial direction, the density variation in the same direction is more than 50 orders of magnitude and clearly non-monotonic (Fig.…”
Section: Dependence On the Half-opening Angle Of The Energy Depositiomentioning
confidence: 98%
“…The early phase of the propagation of jets in collapsars has been studied by nonrelativistic (MacFadyen & Woosley 1999;MacFadyen et al 2001) as well as special (Zhang & MacFadyen 2003) or general relativistic (Aloy et al 2000;Aloy & Martí 2002) hydrodynamic simulations in two dimensions (i.e., assuming axial symmetry). Also first axisymmetric magnetohydrodynamic simulations have been done for the formation of polar outflows from the central non-rotating BH in a collapsar in both Newtonian (Proga et al 2003; using a pseudoNewtonian potential, Pacyński & Wiita 1980) and general relativity (Mizuno et al 2004; assuming a fixed Schwarzshild metric).…”
Section: Introductionmentioning
confidence: 99%
“…In such models the flow is kept hotter than in the present ones because of the occurrence of internal shocks already inside of the progenitor. However, since the outflow is optically thick, the thermal energy is not radiated away, but converted (later) into kinetic energy (Aloy et al 2000;Aloy& Martí 2002;Ghisellini et al 2007).…”
Section: Acceleration To High Lorentz Factormentioning
confidence: 99%