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Numerical Simulations of Two Coaxial Vortex Rings Head-on Collision

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  27 May 2016

Hui Guan ,
Zhi-Jun Wei ,
Elizabeth Rumenova Rasolkova  and
Chui-Jie Wu
Hui Guan
Affiliation:
College of Meteorology and Oceanography, PLA University of Science and Technology, Nanjing 211101, China
Zhi-Jun Wei
Affiliation:
State Key Laboratory of Structural Analysis for Industrial Equipment, School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
Elizabeth Rumenova Rasolkova
Affiliation:
State Key Laboratory of Structural Analysis for Industrial Equipment, School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
Chui-Jie Wu*
Affiliation:
State Key Laboratory of Structural Analysis for Industrial Equipment, School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
*
*Corresponding author. Email:cjwudut@dlut.edu.cn (C. J. Wu)
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Abstract

Vortex rings have been a subject of interest in vortex dynamics due to a plethora of physical phenomena revealed by their motions and interactions within a boundary. The present paper is devoted to physics of a head-on collision of two vortex rings in three dimensional space, simulated with a second order finite volume scheme and compressible. The scheme combines non-iterative approximate Riemann-solver and piecewise-parabolic reconstruction used in inviscid flux evaluation procedure. The computational results of vortex ring collisions capture several distinctive phenomena. In the early stages of the simulation, the rings propagate under their own self-induced motion. As the rings approach each other, their radii increase, followed by stretching and merging during the collision. Later, the two rings have merged into a single doughnut-shaped structure. This structure continues to extend in the radial direction, leaving a web of particles around the centers. At a later time, the formation of ringlets propagate radially away from the center of collision, and then the effects of instability involved leads to a reconnection in which small-scale ringlets are generated. In addition, it is shown that the scheme captures several experimentally observed features of the ring collisions, including a turbulent breakdown into small-scale structures and the generation of small-scale radially propagating vortex rings, due to the modification of the vorticity distribution, as a result of the entrainment of background vorticity and helicity by the vortex core, and their subsequent interaction.

Keywords

Three dimensional numerical simulationvortex ringcollisionlarge eddy-simulation

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 4 , August 2016 , pp. 616 - 647
Copyright
Copyright © Global-Science Press 2016 

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