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.
Fusion reactions with a weakly bound projectile are studied using the double-folding model along with a repulsive interaction modifying term. Using this modified potential, including nuclear matter incompressibility effects, the fusion reaction cross sections and suppression parameters are calculated for 9 Be + 209 Bi, 208 P b, 29 Si and 27 Al reactions. The results show that applying these effects at energies near the Coulomb barrier improves the agreement between the calculated and experimental cross sections, and modifies the mean values of the suppression parameter.
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