Properties of nonuniform grids used in ocean general circulation models | Zendy

Treguier A. M. | Zendy; Dukowicz J. K. | Zendy; Bryan K. | Zendy

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Properties of nonuniform grids used in ocean general circulation models

Author(s) -

Treguier A. M.,

Dukowicz J. K.,

Bryan K.

Publication year - 1996

Publication title -

journal of geophysical research: oceans

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.67

H-Index - 298

eISSN - 2156-2202

pISSN - 0148-0227

DOI - 10.1029/96jc01753

Subject(s) - truncation error , grid , consistency (knowledge bases) , truncation (statistics) , metric (unit) , circulation (fluid dynamics) , ocean current , diffusion , numerical analysis , mathematics , geology , computer science , geophysics , geodesy , mathematical analysis , mechanics , geometry , climatology , physics , statistics , operations management , economics , thermodynamics

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.

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