Barotropic vorticity equation: Difference between revisions

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The [[vorticity equation]] in the absence of [[horizontal divergence]]  and vertical motion, so that the [[absolute vorticity]] of a [[parcel]] is materially conserved,    <blockquote>[[File:ams2001glos-Be5.gif|link=|center|ams2001glos-Be5]]</blockquote>    where &#x003b6; is the [[relative vorticity]], and ''f'' the [[Coriolis parameter]].<br/> This equation may also be interpreted as governing vertically averaged flow in which [[divergence]]  is present but [[wind direction]] is constant with height. <br/>''See also'' [[equivalent barotropic model]].
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== barotropic vorticity equation ==
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<div class="definition"><div class="short_definition">The [[vorticity equation]] in the absence of [[horizontal divergence]]  and vertical motion, so that the [[absolute vorticity]] of a [[parcel]] is materially conserved,    <div class="display-formula"><blockquote>[[File:ams2001glos-Be5.gif|link=|center|ams2001glos-Be5]]</blockquote></div>    where &#x003b6; is the [[relative vorticity]], and ''f'' the [[Coriolis parameter]].</div><br/> <div class="paragraph">This equation may also be interpreted as governing vertically averaged flow in which [[divergence]]  is present but [[wind direction]] is constant with height. <br/>''See also'' [[equivalent barotropic model]].</div><br/> </div>
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Latest revision as of 21:58, 13 January 2024

The vorticity equation in the absence of horizontal divergence and vertical motion, so that the absolute vorticity of a parcel is materially conserved,
ams2001glos-Be5
where ζ is the relative vorticity, and f the Coriolis parameter.
This equation may also be interpreted as governing vertically averaged flow in which divergence is present but wind direction is constant with height.
See also equivalent barotropic model.


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