Equations of motion using thermodynamic coordinates
The forms of the primitive equations of motion and continuity are obtained when an arbitrary thermodynamic state variable--restricted only to be vertically monotonic--is used as the vertical coordinate. Natural generalizations of the Montgomery and Exner function suggest themselves. For a multicompo...
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Published in | Journal of physical oceanography Vol. 30; no. 11; p. 2814 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Boston
American Meteorological Society
01.11.2000
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Subjects | |
Online Access | Get full text |
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Summary: | The forms of the primitive equations of motion and continuity are obtained when an arbitrary thermodynamic state variable--restricted only to be vertically monotonic--is used as the vertical coordinate. Natural generalizations of the Montgomery and Exner function suggest themselves. For a multicomponent fluid like seawater the dependence of the coordinate on salinity, coupled with the thermobaric effect, generates contributions to the momentum balance from the salinity gradient, multiplied by a thermodynamic coefficient that can be completely described given the coordinate variable and the equation of state. |
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ISSN: | 0022-3670 1520-0485 |
DOI: | 10.1175/1520-0485(2001)031<2814:>2.0.CO;2 |