Treffer: Riemann solvers in relativistic astrophysics

Title:
Riemann solvers in relativistic astrophysics
Authors:
IBANEZ, J. M, MARTI, J. M
Source:
Computational AstrophysicsJournal of computational and applied mathematics. 109(1-2):173-211
Publisher Information:
Amsterdam: Elsevier, 1999.
Publication Year:
1999
Physical Description:
print, 99 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Dynamique des fluides relativistes, Relativistic fluid dynamics, Terre, ocean, espace, Earth, ocean, space, Astronomie, Astronomy, Astronomie fondamentale et astrophysique. Instrumentation, techniques, et observations astronomiques, Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations, Problèmes fondamentaux d'astrophysique, Fundamental aspects of astrophysics, Hydrodynamique, Hydrodynamics, Techniques d'observation et de réduction des données. Simulation et modélisation par ordinateur, Observation and data reduction techniques. Computer modeling and simulation, Méthodes mathématiques et méthodes de simulation sur ordinateur, Mathematical procedures and computer techniques, Astrophysique relativiste, Relativistic astrophysics, Astrofísica relativista, Ecoulement relativiste, Relativistic flow, Flujo relativista, Equation dérivée partielle, Partial differential equations, Equation hyperbolique, Hyperbolic equations, Equation linéarisée, Linearized equation, Ecuación linearizada, Haute résolution, High-resolution methods, Hydrodynamique relativiste, Relativistic hydrodynamics, Hidrodinámica relativista, Loi conservation, Conservation laws, Matrice Jacobi, Jacobi matrix, Matriz Jacobi, Onde choc relativiste, Relativistic shock wave, Onda choque relativista, Onde raréfaction, Rarefaction wave, Onda succión, Problème Riemann, Riemann problem, Problema Riemann, Solution exacte, Exact solution, Solución exacta, Stabilité, Stability, Système équation, Equation system, Sistema ecuación, Facteur Lorentz, Lorentz factor, HRSC, Special resolution shock capturing methods, Résolveur Riemann, Riemann solver, SRRS, Special relativistic Riemann solver
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Department d'Astronomia i Astrofisica, Universitat de València, 46100 Burjassot (València), Spain
ISSN:
0377-0427
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=1979953
Rights:
Copyright 1999 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Astronomy

Physics: fluid mechanics
Accession Number:
edscal.1979953
Database:
PASCAL Archive

Weitere Informationen

Our contribution reviews High Resolution Shock Capturing methods (HRSC) in the field of relativistic hydrodynamics with special emphasis on Riemann solvers. HRSC techniques achieve highly accurate numerical approximations (formally second order or better) in smooth regions of the flow, and capture the motion of unresolved steep gradients without creating spurious oscillations. One objective of our contribution is to show how these techniques have been extended to relativistic hydrodynamics, making it possible to explore some challenging astrophysical scenarios. We will review recent literature concerning the main properties of different special relativistic Riemann solvers, and discuss several 1D and 2D test problems which are commonly used to evaluate the performance of numerical methods in relativistic hydrodynamics. Finally, we will illustrate the use of HRSC methods in several applications in special and general relativistic hydrodynamics.