Effect of Energy Addition and Lorentz Force on Shock Wave Propagation

Abstract

The variations of shock wave propagation under the conditions of energy addition and Lorentz force are examined by carrying out time-dependent onedimensional numerical simulation. In this research, the shock front propagation velocity, which is varied by MHD effect (= energy addition and Lorentz force), is considered. The differences in the variation between the case of energy addition and Lorentz force and the case of only energy addition are examined. The differences between changing energy addition and interaction parameter excluding equations for electrons and changing electric field and magnetic flux density including equations for electrons are also examined. The results show that the shock wave under energy addition and Lorentz force is more accelerated than that under only energy addition. It was confirmed that a shock front propagation velocity has the maximal value and the difference in the point of maximal value is depends on conditions. Although it was confirmed that the point of the maximal value locates at the down-stream of the MHD region, that mechanism is not cleared. It was found that plasma properties change spatially, so that the energy addition ratio and the interaction parameter also change in the case including equations for electrons. On the other hand, in the case of the spatial average of energy addition ratio and interaction parameter including equations for electrons are about equal to those excluding equations for electrons, spatial changes of plasma properties do not have significant effect on shock wave propagation in this research.