DOI QR코드

DOI QR Code

반원형실린더 초기후류를 위한 입자와법의 하이브리드 확산기법

Hybrid Diffusion Scheme of vortex Particle Method for Early Wake Past Semicircular Cylinder

  • 조지영 (한양대학교 대학원 기계공학과) ;
  • 이상환 (한양대학교 기계공학부)
  • 발행 : 2004.07.01

초록

Unsteady behavior of the early wake in the viscous flow field past an impulsively started semicircular cylinder is studied numerically. In this paper, we propose the hybrid diffusion scheme to simulate dynamic characteristics of wake such as a fishtail-like flapping and an alternate vortex-shedding more accurately. This diffusion scheme based on particle strength exchange is mixed with the stochastic nature of random walk method. Also, the viscous splitting algorithm which calculates convective and diffusion terms successively is applied in order to handle random walk method effectively. Consequently, the early behavior of wake due to the breakdown of symmetrical vortici balance is more practically simulated with the vortex particle method.

키워드

참고문헌

  1. Bar-Lev, M. and Yang, H. T., 1975, 'Initial Flow Field Over an Impulsively Started Cylinder,' J. Fluid Mech., Vol. 72, pp. 625-647 https://doi.org/10.1017/S0022112075003199
  2. Beale, J. T. and Majda, A., 1985, 'High Order Accurate Vortex Methods with Explicit Velocity Kernels,' J. Comp. Phys., Vol. 58, pp. 188-208 https://doi.org/10.1016/0021-9991(85)90176-7
  3. Boisaubert, N., Coutanceau, M. and Ehrmann, P., 1996, 'Comparative Early Development of Wake Vortices Behind a Short Semicircular-Section Cylinder in Two Opposite Arrangements,' J. Fluid Mech., Vol. 327, pp. 73-99 https://doi.org/10.1017/S0022112096008464
  4. Bouard, R. and Coutanceau, M., 1980, 'The Early Stage of Development of the Wake Behing an Impulsively Started Cylinder for $40{le}Re{le}10^4$,' J. Fluid Mech., Vol. 101, pp. 583-607 https://doi.org/10.1017/S0022112080001814
  5. Chorin, A. J., 1973, 'Numerical Study of Slightly Viscous Flow,' J. Fluid Mech., Vol. 57, pp. 785-796 https://doi.org/10.1017/S0022112073002016
  6. Chorin, A. J., 1978, 'Vortex Sheet Approximation of Boundary Layers,' J. Comput. Phys., Vol. 27, pp. 428-442 https://doi.org/10.1016/0021-9991(78)90019-0
  7. Cottet, G.-H. and Koumoutsakos, P, 2000, Vorex Methods, Cambridge University Press
  8. Coutanceau, M. and Bouard, R., 1977, 'Experimental Determination of the Main Features of the Viscous Flow in the Wake of a Circular Cylinder in Uniform Translation Part 1. Steady Flow,' J. Fluid Mech., Vol. 79, pp. 231-256 https://doi.org/10.1017/S0022112077000135
  9. Coutanceau, M. and Bouard, R., 1977, 'Experimental Determination of the Main Features of the Viscous Flow in the Wake of a Circular Cylinder in Uniform Translation. Part 1. Unsteady Flow,' J. Fluid Mech., Vol. 79, pp. 257-272 https://doi.org/10.1017/S0022112077000147
  10. Degond, P. and Mas-Gallic, S., 1989, 'The Weighted Particle Method for Convection-Diffusion Equations, Part I: The Case of an Isotropic Viscosity, Part II: the Anisotropic Case,' Math. Comp. Vol. 53, pp. 485-526 https://doi.org/10.2307/2008716
  11. Degond, P. and Mas-Gallic, S., 1989, 'The Weighted Particle Method for Convection-Diffusion Equations, Part I: The Case of an Isotropic Viscosity, Part II: the Anisotropic Case,' Math. Comp. Vol. 53, pp. 485-526 https://doi.org/10.2307/2008717
  12. Eaton, B. E., 1987, 'Analysis of Laminar Vortex Shedding Behind a Circular Cylinder by Computer-Aided Flow Visualization,' J. Fluid Mech., Vol. 180, pp. 117-145 https://doi.org/10.1017/S0022112087001757
  13. Kida, T., Nagata, T. and Nakajima, T., 'Far-Field Condition of Vortex Methods on an Impulsively Started Two-Dimensional Circular Cylinder with Rotation,' Phys. Fluids., Vol. 6, pp. 2745-2756 https://doi.org/10.1063/1.868165
  14. Koumoutsakos, P., 1993, 'Direct Numerical Simulations of Unsteady Separated Flows Using Vorex Methods,' Ph. D. Thesis, Caltech
  15. Koumoutsakos, P., Leonard, A., 1995, 'High-Resolution Simulations of the Flow Around an Resolution Simulations of the Flow Around an Impulsively Started Cylinder Using Vortex Methods,' J. Fluid Mech., Vol. 296, pp. 1-38 https://doi.org/10.1017/S0022112095002059
  16. Koumoutsakos, P. and Shiels, D., 1996, 'Simulations of the Viscous Flow Normal to an Impulsively Started and Uniformly Accelerated Flat Plate,' J. Fluid Mech., Vol. 328, pp. 177-227 https://doi.org/10.1017/S0022112096008695
  17. Lee, S. H. and Jin, D. S., 2002, 'Comparisons of Two Viscous Models for Vortex Methods in Parallel Computation,' JSME. Int. J. B-Fluid. T., Vol. 45, pp. 231-239 https://doi.org/10.1299/jsmeb.45.231
  18. Leonard, A., 1980, 'Vortex Methods for Flow Simulation,' J. of Comput. Phys. Vol. 37, pp. 289-335 https://doi.org/10.1016/0021-9991(80)90040-6
  19. Naudascher, E. and Rockwell, D., 1994, Flow-induced. vibrations: an engineering guide, Vol. 7, in Hydraulic structures design manual, A.A. Balkema, Rotterdam
  20. Perry, A. E., Chong, M. S. and Lim, T. T., 1982, 'The Vortex-Shedding Process Behind Two-Dimensional Bluff Bodies,' J. Fluid Mech., Vol. 116, pp. 77-90 https://doi.org/10.1017/S0022112082000378
  21. Ploumhans, P., Winckelmans, G. S. and Salmon, J. K., 1999, 'Vortex Particles and Tree Codes: I. Flows with Arbitrary Crossing Between Solid Boundaries and Particle Redistribution Lattice; II. Vortex Ring Encountering a Plane at an Angle,' In electronic Proc. Third International Workshop on Vortex Flows and Related Numerical Methods, Toulouse, August 24-27, ESAIM, Vol. 7, pp. 335-348
  22. Ploumhans, P. and Winckelmans, G. S., 2000, 'Vortex Methods for High-Resolution Simulations of Viscous Flow Past Bluff Bodies of General Geometry,' J. Comp. Phys., Vol. 165, pp. 354-406 https://doi.org/10.1006/jcph.2000.6614
  23. Williamson, C.H.K. and Prasad, A., 1993, 'A New Mechanism for Oblique Wave Resonance in the 'Natural' far Wake,' J. Fluid Mech., Vol. 256, pp. 269-313 https://doi.org/10.1017/S0022112093002794
  24. Jin, D.S., Lee, S.H. and Lee, J.H., 2000, 'Simulation of the Unsteady Viscous Flow Around an Impulsively Started Cylinder Using Improved Vortex Particle Method,' Trans. KSME, Vol. 25, No. 5, pp. 733-743
  25. Cho, J.Y., Lee, S.H., Jin, D.S., 2002, 'Simulations of the Early Wake Behavior Induced by an Impulsively Started a Semicircular Cylinder,' Proc. The second national congress on fluids eng 2002, pp. 349-352