Dynamics of elevated vortices

Alan Shapiro, Paul Markowski

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Abstract

An account is given of theoretical hydrodynamic models for the behavior of vortices with axially varying rotation rates. For purposes of illustration, two flow classes are considered: radically unbounded solid body-type vortices; and vortex cores of finite radius embedded within radially decaying vortex profiles. For the first type of flows, the von Karman-Bodewadt similarity principle is applied and new exact solutions of the nonlinear Euler equations obtained. For the second class of vortex flows, a linear analysis of the Euler equation is employed. This linear solution describes the formation of a central updraft and an annular downdraft ringing the periphery of the vortex core.

Original languageEnglish (US)
Pages (from-to)1101-1122
Number of pages22
JournalJournal of the Atmospheric Sciences
Volume56
Issue number9
DOIs
StatePublished - May 1 1999

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All Science Journal Classification (ASJC) codes

  • Atmospheric Science

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