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On the available energy of an axisymmetric vortex

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A theory of available energy for axisymmetric circulations is presented. The theory is a generalization of the classical theory of available potential energy, in that it accounts for both thermal and angular momentum constraints on the circulation. The generalization relies on the Hamiltonian structure of the (conservative) dynamics, is exact at finite amplitude, and has a local form. Application of the theory is presented for the case of an axisymmetric vortex on an -plane in the context of the Boussinesq equations.

Eine Theorie zur verfügbaren Energie von axisymmetrischen Zirkulationen wird vorgestellt. Die Theorie berücksichtigt sowohl eine thermische Zwangsbedingung als auch Drehimpulserhaltung und stellt so eine Verallgemeinerung der klassischen Theorie zur verfügbaren potenziellen Energie dar. Diese Verallgemeinerung beruht auf der Hamiltonschen Struktur der (konservativen) Dynamik, ist exakt für endliche Amplituden und besitzt ein lokale Form. Eine Anwendung der Theorie im Kontext der Boussinesq-Gleichungen wird für den Fall eines axisymmetrischen Wirbels auf der f –Ebene präsentiert.
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Document Type: Research Article

Publication date: 2006-08-01

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  • Meteorologische Zeitschrift (originally founded in 1866) is the joint periodical of the meteorological societies of Austria, Germany and Switzerland. It accepts high-quality peer-reviewed manuscripts on all aspects of observational, theoretical and computational research out of the entire field of meteorology, including climatology. Meteorologische Zeitschrift represents a natural forum for the meteorological community of Central Europe and worldwide.
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