Collision of two vortex rings

Kida, Sigeo; Takaoka, Masanori; Hussain, Fazle

doi:10.1017/s0022112091000903

Cited by 113 publications

(101 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is an intriguing phenomenon (also called cut-and-connect or crosslinking) involving collision of two vortex rings that leads to the changes in connectivity and topology of the vortex rings. It has been extensively studied numerically and experimentally [5,6,13]. We used two identical vortex rings with a uniform vorticity distribution inside the cores.…”

Section: Numerical Resultsmentioning

confidence: 99%

Vorticity Particle Method for Simulation of 3D Flow

Kudela

Regucki

2004

Computational Science - ICCS 2004

View full text Add to dashboard Cite

Abstract. The vortex-in-cell method for three-dimensional, viscous flow was presented. A viscous splitting algorithm was used. Initially the Euler inviscid equation was solved. Following that, the viscous effect was taken into account by the solution of the diffusion equation. The diffusion equation was then solved by the particle strength exchange (PSE) method. Validation of the method was tested by simulation of the leapfrogging phenomenon for two vortex rings moving along a common axis of symmetry and the reconnection phenomenon of two colliding vortex rings for viscous flow.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Vorticity Particle Method for Simulation of 3D Flow

Kudela

Regucki

2004

Computational Science - ICCS 2004

View full text Add to dashboard Cite

show abstract

“…vortex rings (e.g. Kida et al 1991) and perturbed vortex tubes (e.g. Hussain & Duraisamy 2011), in particular, at high Reynolds numbers.…”

Section: Discussionmentioning

confidence: 99%

“…Compared with the Eulerian vortical structures, the detailed evolution of vortex lines and surfaces may be helpful in understanding the mechanisms of vortex reconnection such as viscous cancellation (see figure 5c,d) and bridging (e.g. Kida, Takaoka & Hussain 1991;Hussain & Duraisamy 2011).…”

Section: Vortex Surfaces and Other Iso-surfacesmentioning

confidence: 99%

Evolution of vortex-surface fields in viscous Taylor–Green and Kida–Pelz flows

Yang

Pullin

2011

J. Fluid Mech.

View full text Add to dashboard Cite

In order to investigate continuous vortex dynamics based on a Lagrangian-like formulation, we develop a theoretical framework and a numerical method for computation of the evolution of a vortex-surface field (VSF) in viscous incompressible flows with simple topology and geometry. Equations describing the continuous, timewise evolution of a VSF from an existing VSF at an initial time are first reviewed. Non-uniqueness in this formulation is resolved by the introduction of a pseudo-time and a corresponding pseudo-evolution in which the evolved field is 'advected' by frozen vorticity onto a VSF. A weighted essentially non-oscillatory (WENO) method is used to solve the pseudo-evolution equations in pseudo-time, providing a dissipativelike regularization. Vortex surfaces are then extracted as iso-surfaces of the VSFs at different real physical times. The method is applied to two viscous flows with Taylor-Green and Kida-Pelz initial conditions respectively. Results show the collapse of vortex surfaces, vortex reconnection, the formation and roll-up of vortex tubes, vorticity intensification between anti-parallel vortex tubes, and vortex stretching and twisting. A possible scenario for understanding the transition from a smooth laminar flow to turbulent flow in terms of topology of vortex surfaces is discussed.

show abstract

“…The cross linked vorticity is amplified by vorticity stretching. Common configurations for the study of vortex reconnection are the collision of two vortex rings 20,21 and a sinusoidally perturbed vortex pair. 22,23 An extensive discussion of the reconnection process is given by Kida and Takaoka.…”

Section: Introductionmentioning

confidence: 99%

The three-dimensional interaction of a vortex pair with a wall

Luton

Ragab

1997

Physics of Fluids

View full text Add to dashboard Cite

Articles you may be interested inThe onset of three-dimensional centrifugal global modes and their nonlinear development in a recirculating flow over a flat surface Phys. Fluids 22, 114102 (2010) The interaction of vortices passing near a solid surface has been examined using direct numerical simulation. The configuration studied is a counter-rotating vortex pair approaching a wall in an otherwise quiescent fluid. The focus of these simulations is on the three-dimensional effects, of which little is known. To the authors' knowledge, this is the first three-dimensional simulation that lends support to the short-wavelength instability of the secondary vortex. It has been shown how this Crow-type instability leads to three dimensionality after the rebound of a vortex pair. The growth of the instability of the secondary vortex in the presence of the stronger primary vortex leads to the turning and intense stretching of the secondary vortex. As the instability grows the secondary vortex is bent, stretched, and wrapped around the stronger primary. During this process reconnection was observed between the two secondary vortices. Reconnection also begins between the primary and secondary vortices but the weaker secondary vortex dissipates before the primary, leaving reconnection incomplete. Evidence is presented for a new type of energy cascade based on the short-wavelength instability and the formation of continual smaller vortices at the wall. Ultimately the secondary vortex is destroyed by stretching and dissipation leaving the primary vortex with a permanently distorted shape but relatively unaffected strength compared to an isolated vortex.

show abstract

Collision of two vortex rings

Cited by 113 publications

References 23 publications

Vorticity Particle Method for Simulation of 3D Flow

Vorticity Particle Method for Simulation of 3D Flow

Evolution of vortex-surface fields in viscous Taylor–Green and Kida–Pelz flows

The three-dimensional interaction of a vortex pair with a wall

Contact Info

Product

Resources

About