2003
DOI: 10.12942/lrr-2003-7
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Numerical Hydrodynamics in Special Relativity

Abstract: This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD. Results of a set of demanding test bench simulations obtained with different numerical SRHD methods are compared. Three applications (astrophysical jets, gamma-ray bursts and heavy ion collisions) of relativistic flows are discussed. An evaluation… Show more

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Cited by 243 publications
(255 citation statements)
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References 257 publications
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“…We also note the case of the quasar 3C 395 (Simon et al 1988;Lara et al 1994Lara et al , 1999, whose jet exhibits a possible stationary component due to possible bending of the jet. Martí & Müller (2003) model AGN jets and find that pressure mismatches exist between the jet and the surrounding medium. These lead to the production of reconfinement shocks and energy density enhancements downstream of these shocks, which in turn give rise to stationary radio knots.…”
Section: Jet Components At Constant Core Separationmentioning
confidence: 99%
“…We also note the case of the quasar 3C 395 (Simon et al 1988;Lara et al 1994Lara et al , 1999, whose jet exhibits a possible stationary component due to possible bending of the jet. Martí & Müller (2003) model AGN jets and find that pressure mismatches exist between the jet and the surrounding medium. These lead to the production of reconfinement shocks and energy density enhancements downstream of these shocks, which in turn give rise to stationary radio knots.…”
Section: Jet Components At Constant Core Separationmentioning
confidence: 99%
“…II C, we write the GRMHD equations in the conservative form. In this case, roughly speaking, there are two options for numerically handling the transport terms [38]. One is to use the Godunov-type, approximate Riemann solver [39,40], and the other is to use the high-resolution central (HRC) scheme [41,20].…”
Section: Numerical Scheme For Solving Grmhd Equationsmentioning
confidence: 99%
“…In the process, a new set of hydrodynamical variables, namely the conserved variables, are introduced. A particularly common such formulation is the so-called "Valencia" form [28] (see also [29,30] for reviews).…”
Section: A Reference-metric Formulation Of Relativistic Hydrodynamicsmentioning
confidence: 99%