Monotone schemes and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number

A stable and consistent scheme for the finite element computation of MHD flows at negligible magnetic Reynolds number is presented and tested on unsteady duct flows. Analytical boundary conditions for the velocity and the currents at the walls perpendicular to the magnetic field are combined with the numerical boundary conditions for electrically conducting walls, allowing three-dimensional simulations at high Hartmann number. Such flows are shown to be unstable, with or without turbulence promoters. (AIAA)