Weak solutions of the three-dimensional vorticity equation with vortex singularities
(1988) Physics of Fluids — Vol. 31, n° 7, p. 1838-1839 (1988)
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- Abstract
- The extension of the concept of vortex singularities, developed by Saffman and Meiron (1986) for the case of two-dimensional point vortices in an incompressible vortical flow, to the three-dimensional case of vortex sticks (vortons) is investigated analytically. The derivation of the governing equations is explained, and it is demonstrated that the formulation obtained conserves total vorticity and is a weak solution of the vorticity equation, making it an appropriate means for representing three-dimensional vortical flows with limited numbers of vortex singularities.
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Winckelmans, G., & Leonard, A. (1988). Weak solutions of the three-dimensional vorticity equation with vortex singularities. Physics of Fluids, 31(7), 1838-1839. https://doi.org/10.1063/1.866680 (Original work published 1988)