Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids

Abstract

class of conservative finite-difference apditions a t the poles. The presence of artificial internal proximations of the primitive equations is given for quasi-boundaries has no effect on the conservation properties uniform spherical grids derived from regular polyhedrons. of the approximations. Examples of conservative schemes, The earth is split into several contiguous regions. Within up t o the second order in the case of a cube, are given. each region, a coordinate system derived from central A selective damping operator is needed to remove the projections is used, instead of the spherical coordinate two-grid interval waves generated by the existence of system, to avoid the use of inconsistent boundary con-internal boundaries.