title: Lattice kinetic simulations in three-dimensional magnetohydrodynamics.
abstract: A lattice kinetic algorithm to simulate three-dimensional (3D) incompressible magnetohydrodynamics is presented. The fluid is monitored by a distribution function, which obeys a scalar kinetic equation, subject to an external force due to the imposed magnetic field. Following the work of J. Comput. Phys. 179, 95 (2002)], the magnetic field is represented by a different three-component vector distribution function, which obeys a corresponding vector kinetic equation. Discretization of the 3D phase space is based on a 19-bit scheme for the hydrodynamic part and on a 7-bit scheme for the magnetic part. Numerical results for magnetohydrodynamic (MHD) flow in a rectangular duct with insulating and conducting walls provide excellent agreement with corresponding analytical solutions. The scheme maintains in all cases tested the MHD constraint inverted Delta.B=0 within machine round-off error.
authors.affiliation: Department of Mechanical and Industrial Engineering, University of Thessaly, Pedion Areos, Volos, 38333, Greece. gbregian@mie.uth.gr
authors.forename: G
authors.initials: G
authors.lastname: Breyiannis
authors.forename: D
authors.initials: D
authors.lastname: Valougeorgis