Numerical studies of motion and decay of vortex filaments

Document Type

Article

Publication Date

1-1-1986

Abstract

A 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 flow field, 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 The computations are continued until the basic assumption is no longer valid, that is, when the merging or intersection of filaments have begun.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. © 1986 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

Identifier

0022768187 (Scopus)

Publication Title

AIAA Journal

External Full Text Location

https://doi.org/10.2514/3.9434

ISSN

00011452

First Page

1290

Last Page

1297

Issue

8

Volume

24

Grant

NOOO-14-80-C-0324

Fund Ref

Office of Naval Research

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