Skip to Main Content (Press Enter)

Logo UNITO
  • ×
  • Home
  • Pubblicazioni
  • Progetti
  • Persone
  • Competenze
  • Settori
  • Strutture
  • Terza Missione

UNI-FIND
Logo UNITO

|

UNI-FIND

unito.it
  • ×
  • Home
  • Pubblicazioni
  • Progetti
  • Persone
  • Competenze
  • Settori
  • Strutture
  • Terza Missione
  1. Pubblicazioni

The Piecewise Parabolic Method for Multidimensional Relativistic Fluid Dynamics

Articolo
Data di Pubblicazione:
2005
Abstract:
We present an extension of the piecewise parabolic method to special relativistic fluid dynamics in multidimensions. The scheme is conservative, dimensionally unsplit, and suitable for a general equation of state. Temporal evolution is second-order accurate and employs characteristic projection operators; spatial interpolation is piecewise parabolic making the scheme third-order accurate in smooth regions of the flow away from discontinuities. The algorithm is written for a general system of orthogonal curvilinear coordinates and can be used for computations in non-Cartesian geometries. A nonlinear iterative Riemann solver based on the two-shock approximation is used in flux calculation. In this approximation, an initial discontinuity decays into a set of discontinuous waves only implying that, in particular, rarefaction waves are treated as flow discontinuities. We also present a new and simple equation of state that approximates the exact result for the relativistic perfect gas with high accuracy. The strength of the new method is demonstrated in a series of numerical tests and more complex simulations in one, two, and three dimensions.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Hydrodynamics; Methods: Numerical; Relativity; Shock Waves
Elenco autori:
A. Mignone ; T. Plewa; G. Bodo G.
Autori di Ateneo:
MIGNONE Andrea
Link alla scheda completa:
https://iris.unito.it/handle/2318/58603
Pubblicato in:
THE ASTROPHYSICAL JOURNAL
Journal
  • Utilizzo dei cookie

Realizzato con VIVO | Designed by Cineca | 25.6.1.0