Multi-scale MHD simulation incorporating pressure transport equation for LHD plasma

A new multi-scale numerical scheme for the nonlinear MHD analysis of heliotron plasmas has been developed as an extension of the original scheme. The time evolution of the dynamics can be studied with this scheme as beta increases. This scheme is based on the iteration of a dynamics calculation utilizing the reduced MHD (RMHD) equations and a calculation of a three-dimensional static equilibrium. The effects of the diffusion of the background pressure and the continuous heating are incorporated in the average pressure equation, which plays a role of a transport equation. This scheme is applied to the inward-shifted Large Helical Device (LHD) plasma to see how the effects influence the self-organization of the plasma. (author)