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Abstract
Relaxation process of magnetohydrodynamics (MHD) inside a sphere is investigated by a newly developed spherical grid system, Yin–Yang–Zhong grid. An MHD fluid with low viscosity and resistivity is confined in a perfectly conducting, stress-free, and thermally insulating spherical boundary. Starting from a simple and symmetric state (a ring-shaped magnetic flux with no flow), a dynamical relaxation process of the magnetic energy is numerically integrated. The system settles down to a quasi-stationary state after an initial phase of turbulence. The relaxed state has a highly symmetric structure of the flow in tandem with the magnetic field in which four swirls with the magnetic field are located on vertices of a regular square.
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