Abstract
The vortex particle method for numerical simulation of the 3D vortex structure evolution was used. Validation of the method was tested for the study of a single vortex ring by comparing the computed translation velocity with the theoretical formula and for the leap-frogging phenomenon for two rings with the same circulation.
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References
Christiansen, J. P. 1973 Vortex method for flow simulation. J.Comput. Phys.13, 363–379.
Cottet, G.-H. 2000 3D vortex methods: achievements and challenges. In Vortex Method, Selected Papers of the First International Conference on Vortex Methods, Kobe Japan 1999 (ed. K. Kamemoto & M. Tsutahara, Word Scientific (2000)), pp. 123–134.
Gharakhani, A. & Ghoniem, A. F. 1997 Three-dimensional vortex simulation of time dependent incompressible internal viscous flows. J. Comput. Phys.134, 75–95.
Knio, O. M. & Ghoniem, A. F. 1990 Numerical study of a three-dimensional vortex method. J. Comput. Phys.86, 75–106.
Kudela, H. 1999 Application of the vortex-in-cell method for the simulation of two-dimensional viscous flow. Task Quarterly3, 343–360.
Leonard, A. 1985 Computing three-dimensional incompressible flows with vortex elements. Annu. Rev. Fluid Mech.17, 523–559.
Lim, T. I. & Nickels, T. B. 1995 Vortex rings. In Fluid Vortices (ed. S. I. Green, Kluwer Academic Publishers), pp. 95–153.
Meiburg, E. 1995 Three-dimensional vortex dynamics simulations. In Fluid Vortices (ed. S. I. Green, Kluwer Academic Publishers), pp. 651–685.
Ould Salihi, M. L. & Cottet, G.-H. & Hamraoui, M. El. 2000 Blending finite-difference and vortex methods for incompressible flow computations. SIAM J. Comput.22(5), 1655–1674.
Saffman, P. G. 1981 Vortex interactions and coherent structures in turbulence. In Transition and Turbulence (ed. R. E. Meyer, Academic Press), pp. 149–166.
Saffman, P. G. 1992 Vortex dynamics, (ed. Cambridge University Press)
Shariff, K. & Leonard, A. 1992 Vortex rings. Annu. Rev. Fluid Mechanics24, 235–279.
Winckelmans, G. S. & Leonard, A. 1993 Contributions to vortex particle methods for computation of three-dimensional incompressible unsteady flows. J. Comput. Phys.109, 247–273.
Zawadzki, I. & Aref, H. 1991 Mixing during vortex ring collision. Phys. Fluids A3(5), 1405–1410.
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Kudela, H., Regucki, P. (2002). The vortex-in-cell method for the study of three-dimensional vortex structures. In: Bajer, K., Moffatt, H.K. (eds) Tubes, Sheets and Singularities in Fluid Dynamics. Fluid Mechanics and Its Applications, vol 71. Springer, Dordrecht. https://doi.org/10.1007/0-306-48420-X_7
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DOI: https://doi.org/10.1007/0-306-48420-X_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0980-8
Online ISBN: 978-0-306-48420-9
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