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Interaction and merging of vortex filamentsThe asymptotic solutions of Navier-Stokes equations for vortex filaments of finite strength with small effective vortical cores are summarized with special emphasis placed on the physical meaning and the practical limit to the applicability of the asymptotic solution. Finite-difference solutions of Navier-Stokes equations for the marging of the filament(s) are described with a focus on the development of the approximate boundary conditions for the computational domain. An efficiency study employing a model problem is used to assess the advantages of the present approximate boundary condition method over previously used techniques. Applications of the present method are presented for the motion and decay of a 3:1 elliptic vortex ring, and for the merging process of a pair of coaxial vortex rings. A numerical procedure for the problem of local merging of vortex filaments, which requires the asymptotic analysis as well as the numerical Navier-Stokes solver, is also presented.
Document ID
19880061568
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Liu, C. H.
(NASA Langley Research Center Hampton, VA, United States)
Weston, R. P.
(NASA Langley Research Center Hampton, VA, United States)
Ishii, K.
(Institute of Computational Fluid Dynamics Tokyo, Japan)
Ting, L.
(New York University NY, United States)
Visintainer, J. A.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 88-3570
Meeting Information
Meeting: AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress
Location: Cincinnati, OH
Country: United States
Start Date: July 25, 1988
End Date: July 28, 1988
Accession Number
88A48795
Distribution Limits
Public
Copyright
Other

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