Summary
A low-order system of spectral equations — representing in some measure the physical properties of the atmosphere — is shown to apply to both barotropic and baroclinic flows. The system allows for an arbitrary zonal flow and one planetary wave with no approximations, for spherical geometry. The analytic solutions in terms of elliptic functions are described and may be used to establish nonlinear exchange properties as functions of initial flow configurations.
Zusammenfassung
Ein verkürztes System spektraler Gleichungen, das in gewissem Maße die physikalischen Eigenschaften der Atmosphäre ausdrückt, wird auf barotrope und barokline Strömungsverhältnisse angewendet. Dieses System beinhaltet eine beliebige Zonalströmung und eine planetarische Welle ohne Annäherung für sphärische Geometrie. Die analytischen Lösungen in Form von elliptischen Funktionen werden beschrieben. Sie können dazu verwendet werden, nichtlineare Austauschgrößen als Funktionen der Anfangsbedingungen der Strömungsanordnung auszudrücken.
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Baer, F. Analytical solutions to low-order spectral systems. Arch. Met. Geoph. Biokl. A. 19, 255–282 (1970). https://doi.org/10.1007/BF02250893
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DOI: https://doi.org/10.1007/BF02250893