A Comparison of Two Cumulus Parameterization Schemes in a Linear Model of Wave-CSK

作者: Francis X. Crum , Duane E. Stevens

DOI: 10.1175/1520-0469(1983)040<2671:ACOTCP>2.0.CO;2

关键词: Mathematical analysisEigenvalues and eigenvectorsDispersion relationSimple (abstract algebra)State (functional analysis)Primitive equationsMathematicsMatrix (mathematics)Linear modelMeteorologyInstabilityAtmospheric Science

摘要: Abstract A linear model of wave-CISK consisting the primitive equations formulated on an equatorial beta-plane with a resting basic state, is used to compare relatively simple cumulus parameterization scheme developed by Stevens and Lindzen complex one Arakawa Schubert. The comparison based mainly instability characteristics vertical structure wave. Discrete forms are inhomogeneous equation solved as generalized matrix eigenvalue problem. eigenvalues correspond equivalent depths which determine growth rates through use dispersion relation for beta-plane. eigenvectors, velocities at discrete levels in model, structure. Results indicate that obtained Schubert's smaller than those Lindzen's parameterization. Co...

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