As a guide for the choice of finite-difference schemes for use in ocean modding, different distributions of variables over the horizontal array of grid points in an ocean circulation model are investigated using the shallow water equations. Numerical and analytical techniques are used to study the types of computational noise present in each grid system. It is shown that the B-scheme (in which the horizontal velocity is carried at the center and the height field is carried at each corner of a rectangular grid) with diffusive dissipation successively suppresses numerical noise in a coarse grid (>I00 km) ocean model. For fine-scale resolution (
As a guide for the choice of finite-difference schemes for use in ocean modding, different distributions of variables over the horizontal array of grid points in an ocean circulation model are investigated using the shallow water equations. Numerical and analytical techniques are used to study the types of computational noise present in each grid system. It is shown that the B-scheme (in which the horizontal velocity is carried at the center and the height field is carried at each corner of a rectangular grid) with diffusive dissipation successively suppresses numerical noise in a coarse grid (>I00 km) ocean model. For fine-scale resolution (
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