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Simulation on motion of particles in vortex merging process

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Abstract

In a two-phase flow, the vortex merging influences both the flow evolution and the particle motion. With the blobs-splitting-and-merging scheme, the vortex merging is calculated by a corrected core spreading vortex method (CCSVM). The particle motion in the vortex merging process is calculated according to the particle kinetic model. The results indicate that the particle traces are spiral lines with the same rotation direction as the spinning vortex. The center of the particle group is in agreement with that of the merged vortex. The merging time is determined by the circulation and the initial ratio of the vortex radius and the vortex center distance. Under a certain initial condition, a stretched particle trail is generated, which is determined by the viscosity, the relative position between the particles and the vortex, and the asymmetrical circulation of the two merging vortices.

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References

  1. Li, Z. H. and Zhang, H. X. Study on gas kinetic algorithm for flows from rarefied transition to continuum using Boltzmann model equation. Acta Mechanica Sinica 34(2), 145–155 (2002)

    Google Scholar 

  2. Tong, B. G. and Yin, X. Y. Discussion on vortex methods. Acta Aerodynamica Sinica 10(1), 1–7 (1992)

    Google Scholar 

  3. Huang, Y. D. and Wu, W. Q. Numerical study of particle distribution in the wake of liquid-particle flows past a circular cylinder using discrete vortex method. Applied Mathematics and Mechanics (English Edition) 27(4), 535–542 (2006) DOI 10.1007/s10483-006-0414-1

    Article  MATH  MathSciNet  Google Scholar 

  4. Zhang, H. Q., Wang, H. Y., Wang, X. L., Guo, Y. C., and Lin, W. Y. Numerical simulation of particle motion in two-phase mixing layer (in Chinese). Journal of Engineering Thermophysics 21(1), 115–119 (2000)

    Google Scholar 

  5. Leonard, A. Vortex methods for flow simulations. Journal of Computational Physics 37(3), 289–335 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  6. Rossi, L. Resurrecting core spreading vortex methods: a new scheme that is both deterministic and convergent. SIAM Journal of Scientific Computing 17(2), 370–397 (1996)

    Article  MATH  Google Scholar 

  7. Shiels, D. Simulation of Controlled Bluff Body Flow with a Viscous Vortex Method, Ph. D. dissertation, California Institute of Technology, California (1998)

    Google Scholar 

  8. Li, Y. G. and Lin, Z. H. A study on the stability of gas-liquid two-phase vortex street. Acta Mechanica Sinica 30(2), 138–144 (1998)

    Google Scholar 

  9. Huang, M. J. Diffusion via splitting and remeshing via merging in vortex methods. International Journal for Numerical Methods in Fluids 48(5), 521–539 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  10. Koumoutsakos, P. and Leonard, A. Boundary conditions for viscous vortex methods. Journal of Computational Physics 113(1), 53–61 (1994)

    Article  MathSciNet  Google Scholar 

  11. Greengard, C. The core-spreading vortex method approximates the wrong equation. Journal of Computational Physics 61(2), 345–348 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  12. Huang, M. J. The physical mechanism of symmetric vortex merger: a new viewpoint. Physics of Fluids 17(7), 1–7 (2005)

    Article  Google Scholar 

  13. Takashi, N. and Zoltan, T. Finite-size effects on active chaotic advection. Physical Review E 65(2), 1–11 (2002)

    Google Scholar 

  14. Wu, B. H. The Merging Dynamics of Two-Dimensional Symmetric Vortex Pair, M. Sc. dissertation, National Taiwan University, Taibei (2007)

    Google Scholar 

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Correspondence to Hai-ming Huang  (黄海明).

Additional information

Communicated by Zhe-wei ZHOU

Project supported by the National Natural Science Foundation of China (No. 10572020)

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Huang, Hm., Xu, Xl. Simulation on motion of particles in vortex merging process. Appl. Math. Mech.-Engl. Ed. 31, 461–470 (2010). https://doi.org/10.1007/s10483-010-0406-x

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  • DOI: https://doi.org/10.1007/s10483-010-0406-x

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Chinese Library Classification

2000 Mathematics Subject Classification

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