The direct discrete method for the analysis magnetohydrodynamic equations

Abstract

The Direct Discrete Method has been applied to derive the algebraic form of the Magnetohydrodynamic equations. It is shown that the method can be considered as a replacement for the various differential based discritization methods. This approach is based on the global variables that are used in two cell complexes- one dual of the other- to subdivide the 3D space. In this paper, using the discrete form of the differential operators, we discretized the magnetohydrodynamic equations directly into a set of algebraic equations. Using this method, an example of a 3D magnetohydrodynamic equilibrium problem as a case study has also been represented.

Keywords: Direct Discrete Method, magnetohydrodynamic equations, cell complex, discretization