The evolutions of radially symmetric vortices and idealized easterly waves are compared using three simple convective parameterization schemes. The parameterizations are formulated for a model atmosphere consisting of three coupled, shallow, constant-density layers. The first was developed by Ooyama and later refined by DeMaria and Pickle (the ODP scheme). Their scheme uses horizontal convergence in the boundary layer to define a vertical mass flux, along with a closure relation based on conservation of moist static energy that determines the vertical redistribution of mass. The second scheme is a modification of the ODP scheme in that convection is allowed to stabilize the profile. A third scheme has the convective mass flux from the boundary layer determined by the assumption that convective up-and downdrafts keep the equivalent potential temperature of the boundary layer in near equilibrium (the BLQ scheme).
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Joseph A. Zehnder (2001) studied this question.
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