Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Study of Flow Around Impulsively Started Elliptic Cylinder Using Vortex Particle Method

입자와법에 의한 급 출발하는 타원형 실린더 주위 유동해석

  • 이상환 (한양대학교 기계공학부) ;
  • 주남수 (한양대학교 대학원 기계공학과)
  • Published : 2004.07.01
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Abstract

In this paper, the unsteady behavior of the viscous flow field past an impulsively started elliptic cylinder is studied numerically. In order to analyze flow field, we introduce vortex particle method. The vorticity transport equation is solved by fractional step algorithm which splits into convection term and diffusion term. The convection term is calculated with Biot-Savart law, the no-through boundary condition is employed on solid boundaries. The diffusion term is modified based on the scheme of particle strength exchange. The particle redistributed scheme for general geometry is adapted. The flows around an elliptic cylinder are investigated for various attack angles at Reynolds number 200. The comparison between numerical results of present study and experimental data shows good agreements.

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References

  1. Lee, S.H. and Jin, D.S., 2002, 'Comparison of Two Viscous Models for Vortex Methods in Parallel Computation,' JSME. Intl. J.B-Fluid T., Vol. 45, pp. 231-239 https://doi.org/10.1299/jsmeb.45.231
  2. Modi, V. J. and Wiland, E., 1970, 'Unsteady Aerodynamics of Stationary Elliptic Cylinder in Subcritical Flow,' AIAA Journal, Vol. 8, pp. 1814-1821 https://doi.org/10.2514/3.5995
  3. Modi, V. J. and Dikshit, A. K., 1975, 'Near Wakes of Elliptic Cylinders in Subcritical Flow,' AIAA Journal, Vol. 13, pp. 490-497 https://doi.org/10.2514/3.49736
  4. Ota, T., Hishima, H. and Taoka, Y., 1984, 'Heat Transfer and Flow Around an Elliptic Cylinder,' Int. J. Heat and Mass Transfer, Vol. 27, pp. 1771-1779 https://doi.org/10.1016/0017-9310(84)90159-5
  5. Ota, T., Nishima, H. and Taoka, Y., 1984, 'Flow Around an Elliptic Cylinder in the Critical Reynolds Number Regime,' J. Fluids Eng., Vol. 109, pp. 149-155 https://doi.org/10.1115/1.3242635
  6. Honji, H., 1972, 'Starting Flows Past Sphere and Elliptic Cylinderm,' Rep. Res. Inst. Appl. Mech., Kyushu University, Vol. 19, pp. 271-281
  7. Koumoutsakos, P., 1993, 'Direct Numerical Simulations of Unsteady Aeparated Flows Using Vortex Methods,' Ph. D. thesis, Caltech
  8. Lugt, H. J. and Haussling, H. J., 1974, 'Laminar Flow Past an Abruptly Accelerated Elliptic Cylinder at $45^{\circ}$ Incidence,' J. Fluid Mech., Vol. 65, pp. 711-734 https://doi.org/10.1017/S0022112074001613
  9. 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
  10. Patel, V. A., 1981, 'Flow Around the Impulsively Started Elliptic Cylinder at Various Angle of Attack,' Comput. Fluids, Vol. 9, pp. 435-462 https://doi.org/10.1016/0045-7930(81)90014-1
  11. 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
  12. 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
  13. Chorin, A. J., 1973, 'Numerical Study of Slightly Viscous Flow,' J. Fluid Mech., Vol. 57, pp. 785-796 https://doi.org/10.1017/S0022112073002016
  14. 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
  15. Cottet, G.-H. and Koumoutsakos, P, 2000, Vortex Methods, Cambridge University Press
  16. 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
  17. 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
  18. Leonard, A., 1975, 'Numerical Simulation of Interacting Vortex Filaments,' in Proceedings of the IV Intl. Conference on Numerical Methods of Fluid Dynamics, Springer-Verlag, New York
  19. 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
  20. 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
  21. Rehbach, C., 1978, 'Numerical Calculation of Three-Dimensional Unsteady Flows with Vortex Sheets,' AIAA paper, pp. 111-1978
  22. Park, W. C. 1999, 'Computation of Unsteady Separated Flows Using the Vortex Particle Method(II),' Trans. KSME B, Vol. 23, No. 10, pp. 1223-1228