Ocean Systems Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Study of the flow around a cylinder from the subcritical to supercritical regimes

  • Zhang, Xian-Tao (State Key Laboratory of Ocean Engineering, Min Hang District) ;
  • Li, Zhi-Yu (State Key Laboratory of Ocean Engineering, Min Hang District) ;
  • Fu, Shi-Xiao (State Key Laboratory of Ocean Engineering, Min Hang District) ;
  • Ong, Muk Chen (Norwegian Marine Technology Research Institute (MARINTEK)) ;
  • Chen, Ying (State Key Laboratory of Ocean Engineering, Min Hang District)
  • Received : 2014.05.27
  • Accepted : 2014.08.25
  • Published : 2014.09.25
⟨ Previous Next ⟩

Abstract

The objective of the present simulations is to evaluate the applicability of the standard $k-{\varepsilon}$ turbulence model in engineering practice in the subcritical to supercritical flow regimes. Two-dimensional numerical simulations of flow around a circular cylinder at $Re=1{\times}10^5$, $5{\times}10^5$ and $1{\times}10^6$, had been performed using Unsteady Reynolds-Averaged Navier Stokes (URANS) equations with the standard $k-{\varepsilon}$ turbulence model. Solution verification had been studied by evaluating grid and time step size convergence. For each Reynolds number, several meshes with different grid and time step size resolutions were chosen to calculate the hydrodynamic quantities such as the time-averaged drag coefficient, root-mean square value of lift coefficient, Strouhal number, the coefficient of pressure on the downstream point of the cylinder, the separation angle. By comparing the values of these quantities of adjacent grid or time step size resolutions, convergence study has been performed. Solution validation is obtained by comparing the converged results with published numerical and experimental data. The deviations of the values of present simulated quantities from those corresponding experimental data become smaller as Reynolds numbers increases from $1{\times}10^5$ to $1{\times}10^6$. This may show that the standard $k-{\varepsilon}$ model with enhanced wall treatment appears to be applicable for higher Reynolds number turbulence flow.

Keywords

References

  1. Achenbach, E. (1968), "Distribution of local pressure and skin friction around a circular cylinder in cross-flow up to Re=$5{\time}10^6$", J. Fluid Mech., 34(4), 625-639. https://doi.org/10.1017/S0022112068002120
  2. Catalano, P., Wang, M., Iaccarino, G. and Moin, P. (2003), "Numerical simulation of the flow around a circular cylinder at high Reynolds numbers", Int. J. Heat Fluid Fl., 24(4), 463-469. https://doi.org/10.1016/S0142-727X(03)00061-4
  3. Cheung, J.C.K. and Melbourne, W.H. (1983), "Turbulence effects on some aerodynamic parameters of a circular cylinder at supercritical numbers", J. Wind Eng. Ind. Aerod., 14(1), 399-410. https://doi.org/10.1016/0167-6105(83)90041-7
  4. Eca, L. and Vaz, G. (2012), "Workshop on verification and validation of CFD for offshore flows", Proceedings of the ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, Brazil, July.
  5. FLUENT User's Guide (2006), Version6.3, FLUENT Inc, USA.
  6. Franke, R., Rodi, W. and Schonung, B. (1989), "Analysis of experimental vortex-shedding data with respect to turbulence modelling", Proceedings of the 7th Symposium on Turbulent Shear Flows, Stanford, USA.
  7. Fung, Y.C. (1960), "Fluctuating lift and drag acting on a cylinder in a flow at supercritical Reynolds numbers", J. Aeronaut. Sci., 27, 801-814.
  8. Launder, B.E. and Spalding, D.B. (1972), Mathematical models of turbulence, Academic Press, London.
  9. Mittal, R. and Balachandar, S. (1995), "Effect of three dimensionality on the lift and drag of nominally two dimensional cylinders", Phys. Fluids, 7(8), 1841-1865. https://doi.org/10.1063/1.868500
  10. Oberkampf, W.L. and Trucano, T.G. (2008), "Verification and validation benchmarks", Nuclear Eng. Des., 238(3), 716-743. https://doi.org/10.1016/j.nucengdes.2007.02.032
  11. Ong, M.C., Utnes, T., Holmedal, L.E., Myrhaug, D. and Pettersen, B. (2009), "Numerical simulation of flow around a smooth circular cylinder at very high Reynolds numbers", Marine Struct., 22(2), 142-153. https://doi.org/10.1016/j.marstruc.2008.09.001
  12. Schewe, G. (1983), "On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers", J. Fluid Mech., 133, 265-285. https://doi.org/10.1017/S0022112083001913
  13. Simonsen, C.D. and Stern, F. (2003), "Verification and validation of RANS maneuvering simulation of Esso Osaka: effects of drift and rudder angle on forces and moments", Comput. Fluids, 32(10), 1325-1356. https://doi.org/10.1016/S0045-7930(03)00002-1
  14. Singh, S.P. and Mittal, S. (2005), "Flow past a cylinder: shear layer instability and drag crisis", Int. J. Numer. Meth. Fl., 47(1), 75-98. https://doi.org/10.1002/fld.807
  15. Sumer, B.M. (2006), Hydrodynamics around cylindrical structures, World Scientific.