An Application of Upwind Scheme to the Magneto-Gasdynamic Equations

Recently, upwind differencing schemes have become very popular, especially when discontinuities exist in the solutions. In the present paper, an application of upwind differencing scheme to the magnetogasdynamic equations with a flux vector splitting method is described. We have approximately splitted fluxes by using magneto-Mach number in place of Mach number. The new upwind scheme has been extended to a generalized coordinate system by finite volume method. In the formulation, the problem of ∇·B=0 has been overcome by the integration of induction equation on the control cell surfaces. Several examples show good characteristics of the present method.