The duality between the Boussinesq and non-Boussinesq hydrostatic equations of motion
The hydrostatic equations of motion for ocean circulation, written in terms of pressure as the vertical coordinate, and without making the Boussinesq approximation in the continuity equation, correspond very closely with the hydrostatic Boussinesq equations written in terms of depths as the vertical...
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Published in | Journal of physical oceanography Vol. 32; no. 7; pp. 2194 - 2203 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Boston, MA
American Meteorological Society
01.07.2002
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Subjects | |
Online Access | Get full text |
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Summary: | The hydrostatic equations of motion for ocean circulation, written in terms of pressure as the vertical coordinate, and without making the Boussinesq approximation in the continuity equation, correspond very closely with the hydrostatic Boussinesq equations written in terms of depths as the vertical coordinate. Two mathematical equivalences between these non-Boussinesq and Bouissnesq equation sets are demonstrated. |
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ISSN: | 0022-3670 1520-0485 |
DOI: | 10.1175/1520-0485(2002)032<2194:tdbtba>2.0.co;2 |