A vortex sheet / point vortex dipole
Abstract eng: Few steady (weak) solutions of the 2D Euler equations involving vortex sheets are known. In this paper a distribution of vorticity is described analytically, consisting of one point vortex and one vortex sheet, that is an equilibrium in a uniformly translating frame. It can be considered a partial nonlocal desingularization of the +/- point vortex dipole. The vortex sheet is found as the limiting distribution of zeroes of a normalized modified Bessel function of the second kind, and can be described as the image under a conformal mapping of one half of the unit circle. The method used to find the solution, a two-step application of the “method of polynomials,” may be more widely applicable.
Publisher:
International Union of Theoretical and Applied Mechanics, 2016
Conference Title:
Conference Title:
24th International Congress of Theoretical and Applied Mechanics
Conference Venue:
Montreal (CA)
Conference Dates:
2016-08-21 / 2016-08-26
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-11-15, last modified 2016-11-15
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