Steady vortex dipoles with general profile functions
Albrecht, Trenton R. Elcrat, Alan R. Miller, Kenneth G.
Albrecht, Trenton R.
Elcrat, Alan R.
Miller, Kenneth G.
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Authors
Albrecht, Trenton R.
Elcrat, Alan R.
Miller, Kenneth G.
Elcrat, Alan R.
Miller, Kenneth G.
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2011-03-10
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computational methods,general fluid mechanics,vortex dynamics
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ALBRECHT TR, ELCRAT AR, MILLER KG. Steady vortex dipoles with general profile functions. Journal of Fluid Mechanics. 2011;670:85-95. doi:10.1017/S0022112010005665
Abstract
Vortex dipoles in a two-dimensional, inviscid flow are obtained by prescribing the profile function relating the vorticity to the stream function. The profile functions used are smooth, and the solutions obtained have a smooth transition from the exterior flow to the interior of the vortex. The dipoles are nearly elliptical, and this relates this work to the supersmooth dipoles obtained recently by Kizner & Khvoles (Regular Chaotic Dyn., vol. 9, 2004, pp. 509-518). The solutions found here are obtained by an iterative method for solving the nonlinear partial differential equation for the stream function. This iterative method is both robust and flexible. Solutions are also obtained in a -plane, and they are shielded, as has also been found in previous work. © 2011 Cambridge University Press.
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Cambridge University Press
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Journal of Fluid Mechanics
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00221120