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Numerical studies of motion and decay of vortex filamentsA computational code is developed for the integro-differential equations governing the motion of the centerlines of vortex filaments submerged in a background potential flow. These equations, which are derived from the method of matched asymptotic analysis, include the effect of decaying large-magnitude circumferential and axial velocity components in the vortical cores. Numerical examples are presented to assess the effect of large axial velocity and of nonsimilar initial profiles in vortical cores. The initial configurations of the filaments are chosen so as to fulfill the basic assumption of asymptotic analysis, which is the effective vortical core size is much smaller than all other length scales in the flowfield, e.g., the radius of curvature and interfilament distance. The computations are continued until the basic assumption is no longer valid, that is, when the merging or intersection of filaments have begun. Various types of local or global merging or intersection of filaments are classified and demonstrated by numerical examples.
Document ID
19860065073
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Liu, C. H.
(NASA Langley Research Center Hampton, VA, United States)
Tavantzis, J.
(New Jersey Institute of Technology Newark, United States)
Ting, L.
(New York University NY, United States)
Date Acquired
August 12, 2013
Publication Date
August 1, 1986
Publication Information
Publication: AIAA Journal
Volume: 24
ISSN: 0001-1452
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
86A49811
Funding Number(s)
CONTRACT_GRANT: N00014-80-C-0324
CONTRACT_GRANT: NCC1-58
Distribution Limits
Public
Copyright
Other

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