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

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Proper Numerical Scheme to Solve the Flow Past a Circular Cylinder with Time and Grid Size Variations

시간과 격자 크기 변화에 따른 원주후류해석의 경제적 수치기법

  • 맹주성 (한양대학교 기계공학부) ;
  • 김용대 (한양대학교 대학원 기계공학과) ;
  • 최일곤 (한양대학교 대학원 기계공학과)
  • Published : 2000.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

The purpose of this study is to present the most effective numerical scheme to calculate the unsteady flows. In order to calculate the flow quantities of flow past a circular cylinder, Three-time level and five convective schemes are applied to unsteady and convective terms, respectively. The values obtained are compared with those from the existing experimental and numerical studies. At Reynolds numbers up to 160, time intervals can be expanded 10 times of Implicit Euler scheme using Three-time level method, and it is found that QUICK and CUI schemes work much stable than others even if less grid density conditions. The combination of Three-time level and QUICK scheme gives high resolutions for laminar unsteady problems with PC level.

Keywords

References

  1. Tritton, D. J., 1959, 'Experiment on the Flow Past a Circular Cylinder at Low Reynolds Numbers,' J. Fluid. Mech., Vol. 6, pp. 547-567 https://doi.org/10.1017/S0022112059000829
  2. Roshko, A., 1960, 'Experiment on the Flow Past a Circular Cylinder at Very High Reynolds Number,' J. Fluid. Mech., Vol. 10, pp. 345-357 https://doi.org/10.1017/S0022112061000950
  3. Norberg, C., 1994, 'An Experimental Investigation of the Flow around a Circular Cylinder : Influence of Aspect Ratio,' J. Fluid Mech., Vol. 258, pp. 287-316 https://doi.org/10.1017/S0022112094003332
  4. Williamson, C. H. K., 1996, 'Vortex Dynamics in the Cylinder Wake,' Annu. Rev. Fluid. Mech., Vol. 28, pp. 477-539 https://doi.org/10.1146/annurev.fl.28.010196.002401
  5. Lecointe, Y. and Piquet, J., 1984, 'On the Use of Several Compact Methods for the Study of Unsteady Incompressible Viscous Flow around a Circular Cylinder,' Computers & Fluids, Vol. 12, No. 4, pp. 255-280 https://doi.org/10.1016/0045-7930(84)90009-4
  6. Braza, M., Chassaing, P. and Ha Minh, H., 1986, 'Numerical Study and Physical Analysis of the Pressure and Velocity Fields in the Near Wake of a Circular Cylinder,' J. Fluid Mech., Vol. 165, pp. 79-130 https://doi.org/10.1017/S0022112086003014
  7. Rosenfeld, M., Kwak, D. and Vinokur, M., 1991, 'A Fractional Step method for the Unsteady Incompressible Navier-Stokes Equations in Generalized Coordinate Systems,' J. Comp. Physics., Vol. 94, pp. 102-137 https://doi.org/10.1016/0021-9991(91)90139-C
  8. Park, J., Kwon, K. and Choi, H., 1998, 'Numerical Solutions of Flow Past a Circular Cylinder at Reynolds Numbers up to 160,' KSME International Journal, Vol. 12, No. 6, pp. 1200-1205
  9. Peric, M. et al., 1997, 'Computation of Unsteady Flows Using Non-matching Blocks of Structured Grid,' Numer. Heat Transfer, Part. B, Vol. 32, pp. 403-418 https://doi.org/10.1080/10407799708915016
  10. 김용대, 최일곤, 맹주성, 1998, '3단계준위밥을 이용한 원주후류 와동흘림의 수치해석 연구,' 한양대학교 기계기술연구논문집, 제4권, 1호, pp. 403-418
  11. Van-Leer, B., 1979, 'Towards the Ultimate Conservative Difference Scheme V.A. Second Order Sequel to Godunov's Method,' J. Comp. Phys., Vol. 32, pp. 101-136 https://doi.org/10.1016/0021-9991(79)90145-1
  12. Han, T. Y., Meng, J. C. S. and Innis, G. E., 1983, 'An Open Boundary Condition for Incompressible Stratified Flows,' J. Comp. Phys., Vol. 49, pp. 279-297 https://doi.org/10.1016/0021-9991(83)90127-4
  13. Nishioka, M. and Sato, H., 1978, 'Mechanism of Determination of the Shedding Frequency for Vortices behind a Cylinder at Low Reynolds Numbers,' J. Fluid Mech., Vol. 89, Part 1, pp. 49-60 https://doi.org/10.1017/S0022112078002451
  14. Liu, C., Zheng, X. and Sung, C. H., 1998, 'Preconditioned Multigrid Methods for Unsteady Incompressible Flows,' J. Comp. Phys., Vol. 139, pp. 35-57 https://doi.org/10.1006/jcph.1997.5859
  15. Dennis, S. C. R. and Chang, G., 1970, 'Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100,' J. Fluid Mech., Vol. 42, part 3, pp. 471-489 https://doi.org/10.1017/S0022112070001428