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JOURNAL OF GEOPHYSICAL RESEARCH,
VOL. 101, NO. C9,
PAGES 20,877–20,881,
1996
Properties of nonuniform grids used in ocean general circulation models
A. M. Treguier
Laboratoire de Physique des Océans, Institut Français de Recherche pour l'Exploitation de la Mer, CNRS-UBO, Plouzane, France
J. K. Dukowicz
Los Alamos National Laboratory, Los Alamos, New Mexico
K. Bryan
Geophysical Fluid Dynamics Laboratory, Princeton University, Princeton, New Jersey
Abstract
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.
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Citation: Treguier, A. M., J. K. Dukowicz, and K. Bryan
(1996),
Properties of nonuniform grids used in ocean general circulation models,
J. Geophys. Res.,
101(C9),
20,877–20,881.
Copyright 1996 by the American Geophysical Union.
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