Geodesic
Response of a columnar vortex to a wrapped vortex loop
J. S. Marshall1
1 Iowa Institute of Hydraulic Research and Department of Mechanical Engineering, The University of Iowa Iowa City, Iowa, U.S.A
ESAIM. Proceedings, Tome 7 (1999), pp. 280-291.

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A computational and experimental study of the interaction between an initially columnar vortex and a wrapped vortex loop was performed, which focused on the columnar vortex response to the vortex loop. This problem is motivated by applications involving three-dimensional vortex interaction with a solid body, where the secondary vorticity shed from the body rolls up into a series of loop-like structures that are advected away from the body by the primary vortex. As a secondary vortex loop wraps around a columnar vortex, it becomes entrained into the vortex core due to the self-induced velocity of the loop. The columnar vortex response as a secondary vortex loop moves close to and impacts upon its lateral core surface includes a combination of bending waves, waves of variable core area, and core shape deformation. If a vortex loop is sufficiently strong, its interaction with the columnar vortex is also accompanied by ejection of vorticity from the columanr vortex, sometimes leading to development of a traveling vortex breakdown.
DOI : 10.1051/proc:1999026

J. S. Marshall 1

1 Iowa Institute of Hydraulic Research and Department of Mechanical Engineering, The University of Iowa Iowa City, Iowa, U.S.A 
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J. S. Marshall. Response of a columnar vortex to a wrapped vortex loop. ESAIM. Proceedings, Tome 7 (1999), pp. 280-291. doi : 10.1051/proc:1999026. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999026/

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