Difference between revisions of "Barotropic model"

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#<div class="definition"><div class="short_definition">Any of a number of [[model atmospheres]] in which some of the following  conditions exist throughout the motion: coincidence of [[pressure]] and [[temperature]] surfaces; absence  of [[vertical wind shear]]; absence of vertical motions; absence of horizontal [[velocity divergence]];  and conservation of the vertical component of [[absolute vorticity]].</div><br/> <div class="paragraph">Barotropic models are usually divided into two classes: the nondivergent barotropic model and  the divergent barotropic model (also called the shallow-water equations).</div><br/> </div>
 
#<div class="definition"><div class="short_definition">Any of a number of [[model atmospheres]] in which some of the following  conditions exist throughout the motion: coincidence of [[pressure]] and [[temperature]] surfaces; absence  of [[vertical wind shear]]; absence of vertical motions; absence of horizontal [[velocity divergence]];  and conservation of the vertical component of [[absolute vorticity]].</div><br/> <div class="paragraph">Barotropic models are usually divided into two classes: the nondivergent barotropic model and  the divergent barotropic model (also called the shallow-water equations).</div><br/> </div>
#<div class="definition"><div class="short_definition">A single-parameter, single-level [[atmospheric model]] based solely on the [[advection]] of the  initial [[circulation]] field.</div><br/> <div class="paragraph">The simplest form of barotropic model is based on the [[barotropic]] vorticity advection equation:      <div class="display-formula"><blockquote>[[File:ams2001glos-Be3.gif|link=|center|ams2001glos-Be3]]</blockquote></div>    where &#x003c8; is the geostrophic [[streamfunction]], '''V'''<sub>&#x003c8;</sub> is the nondivergent [[wind]], and ''f'' is the [[Coriolis  parameter]]. The equation is derived by assuming that a vertical portion of the [[atmosphere]] is  barotropic (i.e., [[density]] is constant on [[pressure]] surfaces) and nondivergent. Because there are no  vertical variations or [[thermal]] advection processes in a barotropic model, it cannot predict the  development of new weather systems.</div><br/> </div>
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#<div class="definition"><div class="short_definition">A single-parameter, single-level [[atmospheric model]] based solely on the [[advection]] of the  initial [[circulation]] field.</div><br/> <div class="paragraph">The simplest form of barotropic model is based on the [[barotropic]] vorticity advection equation:      <div class="display-formula"><blockquote>[[File:ams2001glos-Be3.gif|link=|center|ams2001glos-Be3]]</blockquote></div>    where &#x003c8; is the geostrophic [[streamfunction]], '''V'''<sub>&#x003c8;</sub> is the nondivergent [[wind]], and ''f'' is the [[Coriolis parameter|Coriolis  parameter]]. The equation is derived by assuming that a vertical portion of the [[atmosphere]] is  barotropic (i.e., [[density]] is constant on [[pressure]] surfaces) and nondivergent. Because there are no  vertical variations or [[thermal]] advection processes in a barotropic model, it cannot predict the  development of new weather systems.</div><br/> </div>
 
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Latest revision as of 16:28, 25 April 2012



barotropic model

  1. Any of a number of model atmospheres in which some of the following conditions exist throughout the motion: coincidence of pressure and temperature surfaces; absence of vertical wind shear; absence of vertical motions; absence of horizontal velocity divergence; and conservation of the vertical component of absolute vorticity.

    Barotropic models are usually divided into two classes: the nondivergent barotropic model and the divergent barotropic model (also called the shallow-water equations).

  2. A single-parameter, single-level atmospheric model based solely on the advection of the initial circulation field.

    The simplest form of barotropic model is based on the barotropic vorticity advection equation:
    ams2001glos-Be3
    where ψ is the geostrophic streamfunction, Vψ is the nondivergent wind, and f is the Coriolis parameter. The equation is derived by assuming that a vertical portion of the atmosphere is barotropic (i.e., density is constant on pressure surfaces) and nondivergent. Because there are no vertical variations or thermal advection processes in a barotropic model, it cannot predict the development of new weather systems.