Low-Order Models of Atmospheric Dynamics with Physically Sound Behavior
Low-order models (LOMs) are commonly developed by employing the Galerkin technique. Unfortunately, along with a number of highly attractive features, the method does not provide criteria for selecting modes, nor a guarantee that a model based on a particular set of modes will behave anything like the original system. Moreover, fundamental conservation properties of the fluid dynamical equations are sometimes violated in LOMs, and they may exhibit unphysical behavior (throughout the paper conservation is assumed in the absence of forcing and dissipation).
KeywordsRayleigh Number Rossby Wave Convection Cell Conservation Property Fluid Dynamical Equation
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