A two-dimensional magnetohydrodynamics scheme for general unstructured grids

Eli Livne, Luc Dessart, Adam Burrows, Casey A. Meakin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells. The new scheme is implemented within the code VULCAN/2D, which already includes radiation hydrodynamics in various approximations and can be used with arbitrarily moving meshes (ALEs). The MHD scheme, which consists of cell-centered magnetic field variables, preserves the nodal finite difference representation of div B by construction, and therefore any initially divergence-free field remains divergence-free through the simulation. In this paper, we describe the new scheme in detail and present comparisons of VULCAN/2D results with those of the code ZEUS/2D for several one-dimensional and two-dimensional test problems. The code now enables two-dimensional simulations of the collapse and explosion of the rotating, magnetic cores of massive stars. Moreover, it can be used to simulate the very wide variety of astrophysical problems for which multidimensional radiation magnetohydrodynamics (RMHD) is relevant.

Original languageEnglish (US)
Pages (from-to)187-202
Number of pages16
JournalAstrophysical Journal, Supplement Series
Issue number1
StatePublished - May 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Hydrodynamics
  • MHD
  • Supernovae: general


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