Magnetohydrodynamics simulation in a sphere by Yin-Yang-Zhong grid

For numerical simulations in a sphere, we have recently proposed a new spherical grid system called Yin-Yang-Zhong grid. The Yin-Yang-Zhong grid is composed of three components - Yin, Yang, and Zhong - that are combined to cover a spherical region with partial overlaps on their borders. Mutual interpolations are applied to sew the components together, following the overset grid methodology. We review the idea of the Yin-Yang-Zhong grid and its applications to magnetohydrodynamics (MHD) simulations in a sphere. We also present visualization methods employed to analyze the Yin-Yang-Zhong simulations.