scholarly journals A Vector Derivation of the Semigeostrophic Potential Vorticity Equation

2004 ◽  
Vol 61 (12) ◽  
pp. 1461-1466 ◽  
Author(s):  
Martin Ehrendorfer
Keyword(s):  
Potential Vorticity ◽  
Vorticity Equation

scholarly journals A Form of Potential Vorticity Equation for Depth-Integrated Flow with a Free Surface

2008 ◽  
Vol 38 (5) ◽  
pp. 1131-1136 ◽  
Author(s):  
Chris W. Hughes
Keyword(s):  
Free Surface ◽  
Potential Vorticity ◽  
Vorticity Equation ◽  
Ocean Bottom ◽  
Bottom Pressure ◽  
Frequency Effects ◽  
Ocean Bottom Pressure ◽  
Forcing Term ◽  
Scalar Variable

Abstract A form of linear, barotropic potential vorticity equation is derived for an ocean with a free surface, in which only one scalar variable appears (ocean bottom pressure, or subsurface pressure). Unlike quasigeostrophic or rigid-lid derivations, the only approximation made (apart from linearization) is that changes in the circulation must be slow compared with the inertial frequency. Effects of stratification are included, but only parametrically in the sense that density is treated as a given quantity or forcing term rather than a variable.

Solitonlike solutions from the potential vorticity equation over topography

1991 ◽  
Vol 96 (C4) ◽  
pp. 7077 ◽  
Author(s):  
Shoichiro Nakamoto ◽  
Juping Liu ◽  
A. D. Kirwan
Keyword(s):  
Potential Vorticity ◽  
Vorticity Equation
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