title: Two-dimensional lattice Boltzmann model for magnetohydrodynamics.
abstract: We present a lattice Boltzmann model for the simulation of two-dimensional magnetohydro dynamic (MHD) flows. The model is an extension of a hydrodynamic lattice Boltzman model with 9 velocities on a square lattice resulting in a model with 17 velocities. Earlier lattice Boltzmann models for two-dimensional MHD used a bidirectional streaming rule. However, the use of such a bidirectional streaming rule is not necessary. In our model, the standard streaming rule is used, allowing smaller viscosities. To control the viscosity and the resistivity independently, a matrix collision operator is used. The model is then applied to the Hartmann flow, giving reasonable results.
authors.affiliation: Institute for Geophysics, Astrophysics, and Meterology, Universitätsplatz 5, A-8010 Graz, Austria.
authors.forename: Werner
authors.initials: W
authors.lastname: Schaffenberger
authors.forename: Arnold
authors.initials: A
authors.lastname: Hanslmeier