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

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Study on Flow Over Oscillating Circular Cylinder Using Curved Moving Boundary Treatment

곡선경계처리법을 이용한 주기적으로 진동하는 실린더주위의 유동해석

  • 김형민 (경기대학교, 기계시스템디자인) ;
  • Published : 2007.11.01
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Abstract

CMBT(Curved Moving Boundary Treatment) is a newly developed scheme for the treatment of a no slip condition on the curved solid wall of moving obstacle in a flow field. In our research CMBT was used to perform LBM simulation of a flow over a moving circular cylinder to determine the flow feature and aerodynamics characteristic of the cylinder. To ascertain the applicability of CMBT on the complex shape of the obstacle, it was first simulated for the case of the flow over a fixed circular cylinder in a channel and the results were compared against the solution of Navier-Stokes equation with deforming mesh technique. The simulations were performed in a moderate range of reynolds number at each moving cylinder to identify the flow feature and aerodynamic characteristics of circular cylinder in a channel. The drag coefficients of the cylinder were calculated from the simulation results. We have numerically confirmed that the critical reynolds number for vortex shedding is ar Re=250 and the result is the same as the case of fixed cylinder. As the cylinder approaching to one wall, the 2nd vortex is developed by interacting with the wall boundary-layer vorticity. As the velocity ratio increase the third vortex are generated by interacting with the 2nd vortexes developed on the upper and lower wall boundary layer. The resultant $C_d$ decrease as reynolds number increasing and the Cd approached to a value when Re>1000.

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References

  1. Chen, S. and Doolen, G., 1998, 'Lattice Boltzmann Method for Fluid Flows,' Ann. Rev. Fluid Mech., Vol.30, pp. 329-364 https://doi.org/10.1146/annurev.fluid.30.1.329
  2. Renwei, Mei., Li_shi, Luo. and Wei, Shyy., 2000, 'An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method,' ICASE Report, No. 2000-6
  3. Lallemand, P. and Luo, L. -S., 2003, 'Lattice Boltzmann Method for Moving Boundary,' Journal of Computational Physics, Vol.184. pp. 406-421 https://doi.org/10.1016/S0021-9991(02)00022-0
  4. Yang, Hui-Ju, Jeon, Hae-Kwon, Kim, Lae-Sune. and Ha, Man-Yeong, 2007, 'A Numerical Study of the Incompressible Flow Over a Circular Cylinder Near a Plane Wall Using the Immersed Boundary - Finite Difference Lattice Boltzmann Method,' KSME Spring Meeting
  5. Jeong, Hae Kwon., Ha, Man Yeong., Kim, Lae sung., Lee, Hyun Goo. and Lee, Jae Ryong., 2007, 'Numerical Simulation of Thermal Lattice Boltzmann Model with a Modified InTernal Energy Non-Equilibrium First-Order Extrapolation Boundary Condition,' KSME Journal B, Vol. 31, No.7, pp. 620-627 https://doi.org/10.3795/KSME-B.2007.31.7.620
  6. Frisch, U., Hasslacher, B. and Pomeau, Y., 1986, 'Lattice-Gas Automata for the Navier-Stokes Equations,' Phys. Rev. Lett. Vol.56, pp. 1505-1508 https://doi.org/10.1103/PhysRevLett.56.1505
  7. McNamara, G. and Zanetti, G., 1988, 'Use of the Boltzmann Equation to Simulate Lattice-Gas Automata,' Phys. Rev. Lett, Vol. 61, pp. 2332-2335 https://doi.org/10.1103/PhysRevLett.61.2332
  8. Higuera, F. and Jimenez, J., 1989, 'Boltzmann Approach to Lattice Gas Simulations,' Europhys. Lett., Vol. 9, pp. 663-668 https://doi.org/10.1209/0295-5075/9/7/009
  9. Koelman, JMVA., 1991, 'A Simple Lattice Boltzmann Scheme for Navier-Stokes Fluid Flow,' Europhys. Lett., Vol.15, pp. 603-607 https://doi.org/10.1209/0295-5075/15/6/007
  10. Qian, YR., 1990, 'Lattice Gas and Lattice Kinetic Theory Apply to Navier-Stokes Equation, 'Ph'D Thesis, University et Peirre Marie Curie, Paris
  11. Bhatnagar, PL., Gross, EP. and Krook, M., 1954, 'A Model for Collision Processes in Gases. I:small Amplitude Processes in Charged and Neutral One-component System,' Phys. Rev. Vol. 94, pp. 511-525 https://doi.org/10.1103/PhysRev.94.511
  12. Chen, H., 1993, 'Discrete Boltzmann Systems and Fluid Flow,' Comp. Phys., Vol. 7, pp. 632-637 https://doi.org/10.1063/1.4823237
  13. He, X., Zou, Q., Luo, L-S. and Dembo M., 1997, 'Analytic Solutions of Simple Flow and Analysis of Non-slip Boundary Conditions for the Lattice Boltzmann BGK Model,' J. Stat. Phys., Vol. 87, pp. 115-136 https://doi.org/10.1007/BF02181482
  14. FOAM, 'www.openfoam.org.'
  15. Zovatto, L. and Pedrizzetti, G., 2001, 'Flow About a Circular Cylinder Between Parallel Walls,' J. Fluid Mech. Vol. 440, pp. 1-17 https://doi.org/10.1017/S0022112001004608

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