DOI QR코드

DOI QR Code

Immersed Boundary Method for Flow Induced by Transverse Oscillation of a Circular Cylinder in a Free-Stream

가상경계법을 사용한 횡단 진동하는 실린더 주위의 유동 해석

  • Kim, Jeong-Hu (Department of Naval Architecture and , Ocean Engineering, Pusan National University) ;
  • Yoon, Hyun-Sik (Advanced Ship Engineering Research Center, Pusan National University) ;
  • Tuan H.A. (Department of Naval Architecture and, Ocean Engineering, Pusan National University) ;
  • Chun, Ho-Hwan (Department of Naval Architecture and , Ocean Engineering, Pusan National University)
  • 김정후 (부산대학교 조선해양공학과) ;
  • 윤현식 (부산대학교 첨단조선공학연구센터) ;
  • ;
  • 전호환 (부산대학교 조선해양공학과)
  • Published : 2006.06.20

Abstract

Numerical calculations are carried out for flow past a circular cylinder forced oscillating normal to the free-stream flow at a fixed Reynolds number equal to 185. The cylinder oscillation frequency ranged from 0.8 to 1.2 of the natural vortex-shedding frequency, and the oscillation amplitude extended up to 20% of the cylinder diameter. IBM (Immersed Boundary Method) with direct momentum forcing was adopted to handle both of a stationary and an oscillating cylinder Present results such as time histories of drag and lift coefficients for both stationary and oscillating cases are in good agreement with previous numerical and experimental results. The instantaneous wake patterns of oscillating cylinder with different oscillating frequency ratios showed the synchronized wakes pattern in the lock-in region and vortex switching phenomenon at higher frequency ratio than the critical frequency ratio.

Keywords

References

  1. 김광수, 서정천, 1998, ' 와도를 기저로 한 초기 순간 출발하는 실린더 주위의 점성유동해석,' 대한조선학회 논문집, 제 35 권, 제 4 호, pp. 1-10
  2. 문진국, 박종천, 전호환, 서성부, 2005, '주기 회전하는 원형 실린더 주위 층류 유동장의 수치 시뮬레이션,' 대한조선학회 논문집, 제 42 권, 제 4 호, pp 368-378 https://doi.org/10.3744/SNAK.2005.42.4.368
  3. 윤현식, 전호환,2004, '자기장을 사용한 원형주 상체 주위의 유동 제어 및 저항감소,' 대한조선학회 논문집, 제 41 권, 제 2 호, pp. 70-78
  4. Blackburn, H.M. and Henderson , R.D.,1999, ' A Study of Two-Dimensional Flow Past an Oscillating Cylinder,' JFM, 385, pp. 255-286 https://doi.org/10.1017/S0022112099004309
  5. Braza, M., Chassaing, P. & Minh, H. Ha, 1986, ' Numerical Study and Physical Analysis of the Pressure and Velocity Fields in the near Wake of a Circular Cylinder,' JFM, 165, pp. 79-130 https://doi.org/10.1017/S0022112086003014
  6. Sherdian, J. , Caberry, J. , Lin, J.C. and Rockwell, D., 1998, ' On the Near-Wake Topology of an Oscillating Cylinder,' J. Fluids and Structures 12, pp. 215-220 https://doi.org/10.1006/jfls.1997.0133
  7. Goldstein D., Handler R. and Sirovich L., 1993, ' Modeling a No-Slip Flow Boundary with an External Force Field,' J. Comput. Phys. pp. 105,354
  8. Gu, W., Chyu, C. and Rockwell D., 1994, ' Timing of Vortex Formation from an Oscillating Cylinder, ' Phys. Fluids 6(11), pp. 3677-3682 https://doi.org/10.1063/1.868424
  9. Guilmineau, E. and Queutey, P., 2002, ' A Numerical Simulation of Vortex Shedding from an Oscillating Circular Cylinder,' J. Fluids and Structures 16(6), pp. 773-794 https://doi.org/10.1006/jfls.2002.0449
  10. Griffin O.M. and Votaw C.W., 1972, ' The Vortex Street in the Wake of a Vibrating Cylinder,' JFM, 55, pp. 31-48 https://doi.org/10.1017/S0022112072001636
  11. Kim, J. , Kim, D. and Choi, H., 2001, ' An Immersed-Boundary Finite-Volume Method for Simulations of flow in Complex Geometries, ' J. Comp. Physics, 171, pp. 132-150 https://doi.org/10.1006/jcph.2001.6778
  12. Kim, J. and Moin, P., 1985, ' Application of a Fractional-Step Method to Incompressible Navier-Stokes Equation,' J. Comp. Phys. 59, pp. 308- 323 https://doi.org/10.1016/0021-9991(85)90148-2
  13. Koopman, G.H., 1967, ' The Vortex Wakes of Vibrating Cylinders at Low Reynolds Numbers,' J. Fluid Mech., 28, pp. 501-512 https://doi.org/10.1017/S0022112067002253
  14. Lee, C., 2003, ' Stability Characteristics of the Virtual Boundary Method in Three-Dimensional Applications ,' J. Comp. Phys., 184, pp. 559-591 https://doi.org/10.1016/S0021-9991(02)00038-4
  15. Lu, X.Y. and Dalton, C., 1996, ' Calculation of the Timing of Vortex Formation from an Oscillating Cylinder,' J. Fluids and Structures 10, pp. 527-541 https://doi.org/10.1006/jfls.1996.0035
  16. Mittal, R. and Balachandar , S., 1994, ' Direct Numerical Simulation of Flow Past Elliptic CYlinders,' J. Comp. Phys., 124, pp. 351-367
  17. Mohd-Yusof J., ' Combined Immersed-Boundary / B-Spline Methods for Simulations of Flow in Complex Geometries ,' Annual Research Briefs (Center for Turbulence Research, NASA Ames and Stanford University, 1997). p. 317
  18. Peskin C.S., 1982, ' The Fluid Dynamics of Heart Valves: Experimental, Theoretical , and Computational Methods,' Annu. Rev. Fluid Mech. , 14, p. 235 https://doi.org/10.1146/annurev.fl.14.010182.001315
  19. Saiki E.M. and Biringen S., 1996, ' Numerical Simulation of a Cylinder in Uniform Flow: Application of a Virtual Boundary Method,' J. comp. phys.123 , pp. 450-465 https://doi.org/10.1006/jcph.1996.0036