Abstract
Grid systems in spherical coodinates are proposed and a few tests of them are carried out, using a barotropic fluid with a free surface on the finite difference schemes presserving total energy, total absolute angular momentum and total mass.
Although grid points of spherical grid system A tested in this paper are skipped near the pole, it is computationally stable enough to integrate for a long run, and the computational noises are not so serious. Also the grid is not so inferior to the Kurihara-type grid of very high-resolution, so it is useful for numerical experiments of large-scale motions of the atmosphere.
