On The Parametric Model of Western Boundary Outflow | Zendy

Mallier Roland | Zendy

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On The Parametric Model of Western Boundary Outflow

Author(s) -

Mallier Roland

Publication year - 1994

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm199491117

Subject(s) - series (stratigraphy) , outflow , boundary (topology) , logarithm , vorticity equation , mathematical analysis , vorticity , mathematics , boundary value problem , parametric statistics , scale (ratio) , physics , vortex , mechanics , meteorology , geology , paleontology , statistics , quantum mechanics

A simple model equation for western boundary outflow in the Stommel model of the large scale ocean circulation is obtained by evaluating the potential vorticity equation at the western boundary. A series solution to this model equation demonstrates similar behavior to the boundary layer solution of the potential vorticity equation, in particular that “resonances” are present at a discrete series of parameter values which necessitate the addition of logarithms to the series; these resonances occur because the model equation has a logarithmic branch point at these values.

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