An Efficient Implicit Scheme of MPD Thruster Viscous Flow

An efficient implicit finite-difference scheme for solving supersonic magnet-plasma dynamic (MPD) viscous flows is proposed. The compressible Navier-Stokes equations and the equation of induction induced from the Maxwell equations and the Ohm's law are simultaneously solved using the LU-SGS approach coupled with the diagonal point implicit method. This approach enables to get the convergence of solution. As numerical examples, two types of the flow through the MPD thruster are calculated. The reliability of the present method is verified to show the convergence history of solutions and the calculated results.