View source for Equivalent barotropic model

{{Term
|Display title=equivalent barotropic model
|Definitions={{Definition
|Num=1
|Meaning=An enhanced form of [[barotropic model]] in which the [[variation]] of  [[wind]] with height is vertically averaged assuming that the [[thermal wind]] is in the same direction  as the [[geostrophic wind]] at all heights.
|Explanation=The resulting single-parameter [[model]] for [[geostrophic]] streamfunction is  <blockquote>[[File:ams2001glos-Ee54.gif|link=|center|ams2001glos-Ee54]]</blockquote> which resembles the [[barotropic vorticity equation]] except for the third term inside the brackets.  &#x003c8;&#x0002a; and '''V'''&#x0002a; are the vertically averaged geostrophic [[streamfunction]] and geostrophic wind, respectively.  The coefficients ''p''<sub>0</sub>, ''f''<sub>0</sub>, ''T''<sub>0</sub>, ''g'', and ''R'' are customary parameters and are defined at a reference latitude  at the lower boundary. ''A'' is a vertical averaging coefficient also defined at the lower boundary. ''H''  is the terrain height, allowing the equivalent barotropic model to represent [[orographic]] forcing in  a crude way. This makes the equivalent barotropic model the most popular barotropic model for  real data numerical forecasts.
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