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Weak solutions of the three-dimensional vorticity equation with vortex singularities

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Winckelmans, Grégoire [UCL] Leonard, Anthony [California Institute of Technology]

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.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1988
Language Anglais
Journal information "Physics of Fluids" - Vol. 31, no.7, p. 1838-1839 (1988)
Peer reviewed yes
Publisher American Institute of Physics
issn 0031-9171
Publication status Publié
Affiliation UCL - FSA/MECA - Département de mécanique
Links
  1. Saffman, Phys. Fluids, 29, 8 (1986)
  2. C. Rehbach, AIAA Paper No. 78-111, 1978.
  3. Cantaloube, Rech. Aérosp., 223, 403 (1984)
  4. G. H. Cottet (private communication).
  5. P. Choquin and G. H. Cottet, C. R. Acad. Sci. Paris (in press).
  6. P. G. Saffman (private communication).
  7. C. Greengard and E. Thomann, submitted to Phys. Fluids.
Bibliographic reference Winckelmans, Grégoire ; Leonard, Anthony. Weak solutions of the three-dimensional vorticity equation with vortex singularities. In: Physics of Fluids, Vol. 31, no.7, p. 1838-1839 (1988)
Permanent URL http://hdl.handle.net/2078.1/176154