Dissection of a Sphere and Yin-Yang Grids

摘要: A geometrical dissection that divides a spherical surface into two identical pieces is considered. When the piece symmetric in perpendicular directions, are called yin and yang yin-yang of sphere. The mapped each other by rotation M on sphere where 2 = 1. Therefore, yin's landscape viewed from exactly same as yang's land- scape yin, vice versa. This complemental nature leads to idea new overset grid named Yin-Yang grid. flexibility enables one patch with an orthogonal, quasi-uniform mesh. Since identi- cal, computational routine involves individual calculation used for times, another yang. Other routines involve data transformation between also recycled times because grids. Due simplicity underly- ing geometry, suits massively parallel computers.