Abstract
We investigate dispersion and group velocity relations of numerical schemes for the three-dimensional hydrodynamic equations by using the transform function method. The numerical methods are developed for two of Arakawa's spatial grid types, namely B grid and C grid, using a spectral method in the vertical direction. One of our results is that if the horizontal scale length is greater than the Rossby radius of deformation then the B grid is more appropriate than the commonly used C grid.
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