Three-dimensional algorithms for the numerical computation of flows caused by tides or meteorological forcing are developed for four of Arakawa's spatial grid types using a spectral method in the vertical dimension. Three of the grids, in which the velocity components are computed at the same grid points, offer potential advantages over the commonly used C-grid. The computed results from the four grids are compared for three test problems based on the linearized hydrodynamical equations. It is concluded that the B-grid provides a viable alternative to the C-grid, with significant advantages when a spectral method is used.
机构:
Key Laboratory of Planetary Sciences, Shanghai Astronomical Observatory, Chinese Academy of Sciences
State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and TechnologyKey Laboratory of Planetary Sciences, Shanghai Astronomical Observatory, Chinese Academy of Sciences