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Properties of nonuniform grids used in ocean general circulation models
Laboratoire de Physique des Océans, Institut Français de Recherche pour l'Exploitation de la Mer, CNRS-UBO, Plouzane, France
Los Alamos National Laboratory, Los Alamos, New Mexico
Geophysical Fluid Dynamics Laboratory, Princeton University, Princeton, New Jersey
Ocean general circulation models frequently use nonuniform grids, especially in the vertical direction. This paper clarifies the implications of using such grids on the consistency and accuracy of numerical schemes. It is emphasized that numerical schemes maintain their order of accuracy on a nonuniform grid provided the grid can be related to a smooth mapping. Additional metric terms appear in the truncation error, which should not be interpreted simply as a numerical diffusion.
Received 5 June 1995; accepted 4 June 1996; .
Citation: (1996), Properties of nonuniform grids used in ocean general circulation models, J. Geophys. Res., 101(C9), 20,877–20,881.
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