Sign on

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Electronic Refereed Journal Article (HTML)
· Full Refereed Journal Article (PDF/Postscript)
· arXiv e-print (arXiv:astro-ph/0512420)
· References in the article
· Citations to the Article (31) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
Authors:
Noble, Scott C.; Gammie, Charles F.; McKinney, Jonathan C.; Del Zanna, Luca
Affiliation:
AA(Department of Physics, University of Illinois, 1002 West Green Street, Urbana, IL 61801; , ), AB(Department of Physics, University of Illinois, 1002 West Green Street, Urbana, IL 61801; , ), AC(Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; ), AD(Dipartimento di Astronomia e Scienza dello Spazio Universita degli Studi di Firenze, Firenze, Italy; )
Publication:
The Astrophysical Journal, Volume 641, Issue 1, pp. 626-637. (ApJ Homepage)
Publication Date:
04/2006
Origin:
UCP
ApJ Keywords:
Hydrodynamics, Methods: Numerical, Magnetohydrodynamics: MHD
DOI:
10.1086/500349
Bibliographic Code:
2006ApJ...641..626N

Abstract

Conservative numerical schemes for general relativistic magnetohydrodynamics (GRMHD) require a method for transforming between ``conserved'' variables such as momentum and energy density and ``primitive'' variables such as rest-mass density, internal energy, and components of the four-velocity. The forward transformation (primitive to conserved) has a closed-form solution, but the inverse transformation (conserved to primitive) requires the solution of a set of five nonlinear equations. Here we discuss the mathematical properties of the inverse transformation and present six numerical methods for performing the inversion. The first method solves the full set of five nonlinear equations directly using a Newton-Raphson scheme and a guess from the previous time step. The other methods reduce the five nonlinear equations to either one or two nonlinear equations that are solved numerically. Comparisons between the methods are made using a survey over phase space, a two-dimensional explosion problem, and a general relativistic MHD accretion disk simulation. The run time of the methods is also examined. Code implementing the schemes is available with the electronic edition of the article.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)
   

Find Similar Abstracts:

Use: Authors
Title
Keywords (in text query field)
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints