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Large Eddy Simulation of a Vortex Ring Impacting a Bump

Published online by Cambridge University Press:  03 June 2015

Heng Ren ,
Ning Zhao  and
Xi-Yun Lu
Heng Ren*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
Ning Zhao*
Affiliation:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China
Xi-Yun Lu*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
*
Email: [email protected]
Email: [email protected]
URL:http://staff.ustc.edu.cn/∼xlu/, Corresponding author. Email: [email protected]
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Abstract

A vortex ring impacting a three-dimensional bump is studied using large eddy simulation for a Reynolds number Re = 4 × 104 based on the initial diameter and translational speed of the vortex ring. The effects of bump height and vortex core thickness for thin and thick vortex rings on the vortical flow phenomena and the underlying physical mechanisms are investigated. Based on the analysis of the evolution of vortical structures, two typical kinds of vortical structures, i.e., the wrapping vortices and the hair-pin vortices, are identified and play an important role in the flow state evolution. The boundary vorticity flux is analyzed to reveal the mechanism of the vorticity generation on the bump surface. The circulation of the primary vortex ring reasonably elucidates some typical phases of flow evolution. Further, the analysis of turbulent kinetic energy reveals the transition from laminar to turbulent state. The results obtained in this study provide physical insight into the understanding of the mechanisms relevant to the flow evolution and the flow transition to turbulent state.

Keywords

76F6576D1776F06Large eddy simulationvortex ringvortical structureturbulent state
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 3 , June 2014 , pp. 261 - 280
Copyright
Copyright © Global-Science Press 2014

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References

[1]Chahine, G. L. and Genoux, P. F., Collapse of a cavitating vortex ring, J. Fluid Eng., 105 (1983), pp. 400–405.Google Scholar
[2]Lundgren, T. S. and Mansour, N. N., Vortex ring bubbles, J. Fluid Mech., 224 (1991), pp. 177–196.CrossRefGoogle Scholar
[3]Boldes, U. and Ferreri, J. C., Behavior of vortex rings in the vicinity of a wall, Phys. Fluids, 16 (1973), pp. 2005–2006.CrossRefGoogle Scholar
[4]Yamada, H., Mochizuki, O., Yamabe, H. and Matsui, T., Pressure variation on aflat wall induced by an approaching vortex ring, J. Phys. Soc. Japan, 54 (1985), pp. 4151–4160.CrossRefGoogle Scholar
[5]Walker, J. D. A., Smith, C. R., Cerra, A. W. and Doligalski, T. L., The impact of a vortex ring on a wall, J. Fluid Mech., 181 (1987), pp. 99–140.Google Scholar
[6]Chu, C. C., Wang, C. T. and Chang, C. C., A vortex ring impinging on a solid plane surface-vortex structure and surface force, Phys. Fluids, 7 (1995), pp. 1391–1401.CrossRefGoogle Scholar
[7]Orlandi, P., Vortex dipole rebound from a wall, Phys. Fluids A, 2 (1990), pp. 1429–1436.Google Scholar
[8]Orlandi, P. and Verzicco, R., Vortex rings impinging on walls: axisymmetric and threedimensional simulations, J. Fluid Mech., 256 (1993), pp. 615–646.CrossRefGoogle Scholar
[9]Chu, C. C., Wang, C. T. and Hsieh, C. S., An experimental investigation of vortex motions near surfaces, Phys. Fluids A, 5 (1993), pp. 662–676.Google Scholar
[10]Chang, C. C., Potential flow and forces for incompressible viscous flow, ProC. R. Soc. Lond. A, 437 (1992), pp. 517–525.Google Scholar
[11]Fabris, D., Liepmann, D. and Marcus, D., Quantitative experimental and numerical investigation of a vortex ring impinging on a wall, Phys. Fluids, 8 (1996), pp. 2640–2649.Google Scholar
[12]Lim, T. T., Nickels, T. B. and Chong, M. S., A note on the cause of rebound in the head-on collision of a vortex ring with a wall, Exp. Fluids, 12 (1991), pp. 41–48.Google Scholar
[13]Swearingen, J. D., Crouch, J. D. and Handler, R. A., Dynamics and stability of a vortex ring impacting a solid boundary, J. Fluid Mech., 297 (1995), pp. 1–28.Google Scholar
[14] H. Clercx, J. H. and Bruneau, C. H., The normal and oblique collision of a dipole with a no-slip boundary, Comput. Fluids, 35 (2006), pp. 245–279.Google Scholar
[15]Cheng, M., Lou, J. and Luo, L. S., Numerical study of a vortex ring impacting aflat wall, J. Fluid Mech., 660 (2010), pp. 430–455.Google Scholar
[16]Couch, L. D. and Krueger, P. S., Experimental investigation of vortex rings impinging on inclined surfaces, Exp. Fluids, 51 (2011), pp. 1123–1138.Google Scholar
[17]Orlandi, P., Vortex dipoles impinging on circular cylinders, Phys. Fluids A, 5 (1993), pp. 2196–2206.CrossRefGoogle Scholar
[18]Verzicco, R., Flor, J. B., Van Heijst, G. J. F. and Orlandi, P., Numerical and experimental study of the interaction between a vortex dipole and a circular cylinder, Exp. Fluids, 18 (1995), pp. 153–163.Google Scholar
[19]Allen, J. J., Jouanne, Y. and Shashikanth, B. N., Vortex interaction with a moving sphere, J. Fluid Mech., 587 (2007), pp. 337–346.CrossRefGoogle Scholar
[20] P. De Sousa, J. F., Three-dimensional instability on the interaction between a vortex and a stationary sphere, Theor. Comput. Fluid Dyn., 26 (2012), pp. 391–399.Google Scholar
[21]Sreedhar, M. and Ragab, S., Large eddy simulation of longitudinal stationary vortices, Phys. Fluids, 6 (1994), pp. 2501–2514.Google Scholar
[22]Mansfield, J. R., Knio, O. M. and Meneveau, C., Dynamic LES of colliding vortex rings using a 3D vortex method, J. Comput. Phys., 152 (1999), pp. 305–345.CrossRefGoogle Scholar
[23]Lim, T. T. and Nickels, T. B., Instability and reconnection in the head-on collision of two vortex rings, Nature, 357 (1992), pp. 225–227.Google Scholar
[24]Faddy, J. M. and Pullin, D. I., Flow structure in a model of aircraft trailing vortices, Phys. Fluids, 17 (2005), 085106.Google Scholar
[25]Ragab, S. and Sreedhar, M., Numerical simulation of vortices with axial velocity deficits, Phys. Fluids, 7 (1995), pp. 549–558.Google Scholar
[26]Chen, L.-W., Xu, C.-Y. and Lu, X.-Y., Numerical investigation of the compressible flow past an aerofoil, J. Fluid Mech., 643 (2010), pp. 97–126.Google Scholar
[27]Xu, C.-Y., Chen, L.-W. and Lu, X.-Y., Large eddy simulation of the compressible flow past a wavy cylinder, J. Fluid Mech., 665 (2010), pp. 238–273.Google Scholar
[28]Lu, X.-Y., Wang, S.-W., Sung, H.-G., Hsieh, S.-Y. and Yang, V., Large-eddy simulations of turbulent swirling flows injected into a dump chamber, J. Fluid Mech., 527 (2005), pp. 171–195.CrossRefGoogle Scholar
[29]Chen, L.-W., Wang, G.-L. and Lu, X.-Y., Numerical investigation of a jet from a blunt body opposing a supersonic flow, J. Fluid Mech., 684 (2011), pp. 85–110.Google Scholar
[30]Shariff, K., Verzicco, R. and Orlandi, P., A numerical study of three-dimensional vortex ring instabilities: viscous corrections and early nonlinear stage, J. Fluid Mech., 279 (1994), pp. 351–375.CrossRefGoogle Scholar
[31]Saffman, P. G., The number of waves on unstable vortex rings, J. Fluid Mech., 84 (1978), pp. 625–639.Google Scholar
[32]Archer, P. J., Thomas, T. G. and Coleman, G. N., Direct numerical simulation of vortex ring evolution from the laminar to the early turbulent regime, J. Fluid Mech., 598 (2008), pp. 201–226.CrossRefGoogle Scholar
[33]Bergdorf, M., Koumoutsakos, P. and Leonard, A., Direct numerical simulation of vortex rings at ReГ = 7500, J. Fluid Mech., 581 (2007), pp. 495–505.Google Scholar
[34]Archer, P. J., Thomas, T. G. and Coleman, G. N., The instability of a vortex ring impinging on a free surface, J. Fluid Mech., 642 (2010), pp. 79–94.CrossRefGoogle Scholar
[35]Jeong, J. and Hussain, F., On the identification of a vortex, J. Fluid Mech., 285 (1995), pp. 69–94.Google Scholar
[36]Maxworthy, T., The structure and stability of vortex rings, J. Fluid Mech., 51 (1972), pp. 15–32.Google Scholar
[37]Krishnamoorthy, S. and Marshall, J. S., Three-dimensional blade-vortex interaction in the strong vortex regime, Phys. Fluids, 10 (1998), pp. 2828–2845.Google Scholar
[38]Gossler, A. A. and Marshall, J. S., Simulation of normal vortex-cylinder interaction in a viscous fluid, J. Fluid Mech., 431 (2001), pp. 371–405.Google Scholar
[39]Wu, J. Z., Ma, H. Y. AND Zhou, M. D., Vorticity and Vortex Dynamics, Springer, 2006.Google Scholar