Pullin, D. I. and Moore, D. W. (1990) Remark on a result of D. Dritschel. Physics of Fluids A, 2 (6). pp. 1039-1041. ISSN 0899-8213 http://resolver.caltech.edu/CaltechAUTHORS:PULpofa90
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A hypothesis put forward by D. Dritschel [J. Fluid Mech. 94, 511 (1988)], namely that an isolated symmetrical disturbance on a uniform vortex patch will filament in time proportional to the inverse square of the disturbance amplitude, is subject to independent testing using a nonintrusive numerical method. The hypothesis that the trend is maintained to substantially smaller amplitudes than were originally considered by Dritschel is both supported and verified. The results may be interpreted as providing limited evidence that contour smoothness is maintained in filamentation and that corner formation does not occur up to the time of wave overturning.
|Additional Information:||Copyright © 1990 American Institute of Physics (Received 23 August 1989; accepted 5 February 1990) This work was made possible by a Science and Engineering Research Council grant.|
|Subject Keywords:||DISTURBANCES; SYMMETRY; AMPLITUDES; NUMERICAL SOLUTION; FILAMENTATION INSTABILITIES; LAMINAR FLOW; VORTICES; IDEAL FLOW; INCOMPRESSIBLE FLOW|
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|Deposited By:||Archive Administrator|
|Deposited On:||25 May 2006|
|Last Modified:||26 Dec 2012 08:53|
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