Abstract
We present the new grid system called ”Voronoi Reduced grid” on the sphere. The Voronoi Reduced grid is a kind of Reduced grid, and is characterized by grid control volume defined by the Voronoi region of the spherical Voronoi diagram. Voronoi Reduced grid shows uniform grid aspect ratio over the whole grid on the sphere. Voronoi Reduced grid can dramatically decrease truncation error on divergence field around the pole, which has been an open problem noticed by Dey.(1) In adition, we show results of validation on numerical accuracy and computational stability on the Voronoi Reduced grid.
