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The direct discrete method for the analysis magnetohydrodynamic equations


H Golnarkar
N Vosoughi
G Eta’ati

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


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