The magneto-hydrodynamical code ZEUS
ZEUS-3D is a computational fluid dynamics code developed at the Laboratory for Computational Astrophysics (NCSA, University of Illinois at Urbana-Champaign) for the simulation of astrophysical phenomena. Their latest version, ZEUS-3D3.4 solves problems in one, two, or three spatial dimensions with a wide variety of boundary conditions.
The ZEUS-3D solves the equations of ideal (non-resistive), non-relativistic, magnetohydrodynamics, including externally applied gravitational fields and self-gravity. It is a finite difference code with a fixed or moving orthogonal Eulerian mesh.
The temporal integration is totally explicit, with time steps controlled by the Courant condition. The time advance scheme is monotonic and conservative (Stone & Norman 1992).