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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Bibliographic Details
Published inJournal of physical oceanography Vol. 32; no. 7; pp. 2194 - 2203
Main Authors DE SZOEKE, Roland A, SAMELSON, Roger M
Format Journal Article
LanguageEnglish
Published Boston, MA American Meteorological Society 01.07.2002
Subjects
Earth, ocean, space
Exact sciences and technology
External geophysics
Kinetics
Mathematical models
Ocean circulation
Ocean currents
Oceanography
Physics of the oceans
Thermohaline structure and circulation. Turbulence and diffusion
Water circulation
Equation of motion
Ocean circulation
Boussinesq equation
Continuity equation
Theoretical study
Numerical simulation
Hydrostatic model
Ocean model
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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.
ISSN:0022-3670
1520-0485
DOI:10.1175/1520-0485(2002)032<2194:tdbtba>2.0.co;2