Visualization of energy transfer to magnetic energy by rolling-up vortices with uniform background magnetic field

For the purpose of clarifying mechanism of local structure formations in magnetohydrodynamic (MHD) turbulence, energy transfers among various scales and positions of magnetic/kinetic energies in the course of rollup processes of vortices are studied by direct numerical simulations (DNS) and orthonormal wavelet analysis. In the previous study information on scales provided by the wavelet analysis are used to study scale-to-scale energy transfers[1]. It has been found that large scale flow structures directly excite magnetic fields with various scales. In the present study energy exchange between the kinetic and magnetic field energies are examined from the points of views of local analysis of scale-location-to-scale-location energy transfers. Cone representation analysis we have developed in Ref.[2] is extended to treat magnetic induction process. To depict the energy transfer cones with the isosurfaces of the vorticity and current distributions simultaneously, spatial features of intense energy transfer and its relation to the dominant field structures are clearly visualized.