MHD Equilibrium Analysis with Anisotropic Pressure in LHD

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 [K.Ichiguchi and B.A.Carreras, Plasma Fus. Res. 3 (2008) S1033]. 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) equa...

Strong Anisotropic MHD Turbulence with Cross Helicity

This paper proposes a new phenomenology for strong incompressible MHD turbulence with nonzero cross helicity. This phenomenology is then developed into a quantitative Fokker-Planck model that describes the time evolution of the anisotropic power spectra of the fluctuations propagating parallel and anti-parallel to the background magnetic field B0. It is found that in steady state the power spec...

MHD equilibrium variational principles with symmetry

The chain rule for functionals is used to reduce the noncanonical Poisson bracket for magnetohydrodynamics (MHD) to one for axisymmetric and translationally symmetric MHD and hydrodynamics. The procedure for obtaining Casimir invariants from noncanonical Poisson brackets is reviewed and then used to obtain the Casimir invariants for the considered symmetrical theories. It is shown why extrema o...

Energy transfers in anisotropic MHD turbulence

Analytical solutions for anisotropic MHD shocks

A new method to analytically solve the anisotropic MHD system of equations describing shock transitions is presented. As this system is known to be under-determined (there is more unknown parameters than available equations) free parameters must be chosen. From observational contraints it appears that the magnetic amplitude jump is a good candidate as it is generally available more frequently a...