A new Godunov scheme for MHD, with application to the MRI in disks

James McLellan Stone, Thomas A. Gardiner

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We describe a new numerical scheme for MHD which combines a higher order Godunov method (PPM) with Constrained Transport. The results from a selection of multidimensional test problems are presented. The complete test suite used to validate the method, as well as implementations of the algorithm in both F90 and C, are available from the web. A fully three-dimensional version of the algorithm has been developed, and is being applied to a variety of astrophysical problems including the decay of supersonic MHD turbulence, the nonlinear evolution of the MHD Rayleigh-Taylor instability, and the saturation of the magnetorotational instability in the shearing box. Our new simulations of the MRI represent the first time that a higher-order Godunov scheme has been applied to this problem, providing a quantitative check on the accuracy of previous results computed with ZEUS; the latter are found to be reliable.

Original languageEnglish (US)
Title of host publicationMAGNETIC FIELDS IN THE UNIVERSE
Subtitle of host publicationFrom Laboratory and Stars to Primordial Structures
Pages16-26
Number of pages11
DOIs
StatePublished - Sep 28 2005
EventMAGNETIC FIELDS IN THE UNIVERSE: From Laboratory and Stars to Primordial Structures - Angra dos Reis, Brazil
Duration: Nov 28 2004Dec 3 2004

Publication series

NameAIP Conference Proceedings
Volume784
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherMAGNETIC FIELDS IN THE UNIVERSE: From Laboratory and Stars to Primordial Structures
CountryBrazil
CityAngra dos Reis
Period11/28/0412/3/04

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • Accretion disks
  • MHD

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