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Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamics equations

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Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamics equations

dc.contributor.author	Lucas Serrano, Arturo
dc.contributor.author	Font Roda, José Antonio
dc.contributor.author	Ibáñez Cabanell, José María
dc.contributor.author	Marti Puig, Jose Maria
dc.date.accessioned	2010-06-29T10:38:12Z
dc.date.available	2010-06-29T10:38:12Z
dc.date.issued	2004
dc.identifier.citation	LUCAS SERRANO, Arturo ; Font Roda, Jose Antonio ; Ibanez Cabanell, Jose Maria ; Marti Puig, Jose Maria, 2004, Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamics equations, Astronomy and Astrophysics, vol. 428, no. 2, p. 703-715	en
dc.identifier.uri	http://hdl.handle.net/10550/13996
dc.description.abstract	We assess the suitability of a recent high-resolution central scheme developed by Kurganov & Tadmor (2000) for the solution of the relativistic hydrodynamic equations. The novelty of this approach relies on the absence of Riemann solvers in the solution procedure. The computations we present are performed in one and two spatial dimensions in Minkowski spacetime. Standard numerical experiments such as shock tubes and the relativistic flat-faced step test are performed. As an astrophysical application the article includes two-dimensional simulations of the propagation of relativistic jets using both Cartesian and cylindrical coordinates. The simulations reported clearly show the capabilities of the numerical scheme of yielding satisfactory results, with an accuracy comparable to that obtained by the so-called high-resolution shock-capturing schemes based upon Riemann solvers (Godunov-type schemes), even well inside the ultrarelativistic regime. Such a central scheme can be straightforwardly applied to hyperbolic systems of conservation laws for which the characteristic structure is not explicitly known, or in cases where a numerical computation of the exact solution of the Riemann problem is prohibitively expensive. Finally, we present comparisons with results obtained using various Godunov-type schemes as well as with those obtained using other high-resolution central schemes which have recently been reported in the literature.	en
dc.language.iso	en	en
dc.subject	Hydrodynamics ; Numerical method ; Relativity ; Shock waves	en
dc.title	Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamics equations	en
dc.type	journal article	es_ES
dc.subject.unesco	UNESCO::ASTRONOMÍA Y ASTROFÍSICA	en
dc.subject.unesco	UNESCO::ASTRONOMÍA Y ASTROFÍSICA::Cosmología y cosmogonia	en
dc.identifier.doi	10.1051/0004-6361:20035731	en
dc.identifier.idgrec	011934	en
dc.type.hasVersion	VoR	es_ES
dc.identifier.url	http://www.aanda.org/articles/aa/pdf/2004/47/aa0731.pdf	en