DOI QR코드

DOI QR Code

Vortex Shedding Frequency for a 2D Hydrofoil with a Truncated Trailing Edge

뒷날이 잘린 2차원 수중익의 와도 흘림 주파수

  • Lee, Seung-Jae (Research Institute of Marine Systems Engineering, Seoul National University) ;
  • Lee, Jun-Hyeok (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Suh, Jung-Chun (Research Institute of Marine Systems Engineering, Seoul National University)
  • 이승재 (서울대학교 해양시스템공학연구소) ;
  • 이준혁 (서울대학교 조선해양공학과) ;
  • 서정천 (서울대학교 해양시스템공학연구소)
  • Received : 2014.05.07
  • Accepted : 2014.09.23
  • Published : 2014.12.20

Abstract

Vortex shedding which is the dominant feature of body wakes and of direct relevance to practical engineering problems, has been intensively studied for flows past a circular cylinder. In contrast, vortex shedding from a hydrofoil trailing edge has been studied to much less extent despite numerous practical applications. The physics of the problem is still poorly understood. The present study deals with $K{\acute{a}}rm{\acute{a}}n$ vortex shedding from a truncated trailing-edge hydrofoil in relatively high Reynolds number flows. The objectives of this paper are twofold. First, we aim to simulate unsteady turbulent flows past a two dimensional hydrofoil through a hybrid particle-mesh method and penalization method. The vortex-in-cell (VIC) method offers a highly efficient particle-mesh algorithm that combines Lagrangian and Eulerian schemes, and the penalization method enables to enforce body boundary conditions by adding a penalty term to the momentum equation. The second purpose is to investigate shedding frequencies of vortices behind a NACA 0009 hydrofoil operating at a zero angle of attack.

Keywords

References

  1. Ahn, B.K. Lee, J.H. Rhee, W. & Choi, J.S., 2009. Theoretical and Experimental Study on Airfoil Singing. Transactions of the Korean Society for Noise and Vibration Engineering, 20(2), pp.115-121. https://doi.org/10.5050/KSNVE.2010.20.2.115
  2. Ausoni, P., 2009. Turbulent Vortex Shedding from a Blunt Trailing Edge Hydrofoil. Ph.D Thesis. EPFL.
  3. Caswell, B., 1967. Kinematics and Stress on a Surface Rest. Archive for Rational Mechanics and Analysis, 26(5), pp.385-399. https://doi.org/10.1007/BF00281641
  4. Cocle, R. Winckelmans, G. & Daeninck, G., 2008. Combining the Vortex-in-Cell and Parallel Fast Multipole Methods for Efficient Domain Decomposition Simulations. Journal of Computational Physics, 227, pp.9091-9120. https://doi.org/10.1016/j.jcp.2007.10.010
  5. Kim, D.H. & Chung, K.Y., 1994. A Study on the Propeller Blade Singing Place of an 86,000 ton Deadweight Crude Oil Tanker. Journal of the Society of Naval Architects of Korea, 31(3), pp.59-64.
  6. Kim, Y.C. Suh, J.C. & Lee, K.J., 2012. Vortex-in-Cell Method Combined with a Boundary Element Method for Incompressible Viscous Flow Analysis. International Journal of Numerical Method in Fluids, 69, pp.1567-1583. https://doi.org/10.1002/fld.2649
  7. Lee, S.J. & Suh, J.C., 2014. A Multi-Domain Approach for a Hybrid Particle-Mesh Method. Journal of Computational Fluids Engineering, 19(2), pp.72-78. https://doi.org/10.6112/kscfe.2014.19.2.072
  8. Mansfield, J.R. Knio, O.M. & Meneveau, C., 1996. Towards Lagrangian large vortex simulation. ESAIM: Proceedings, 1, pp.49-64.
  9. Meyer, J. & Sagaut, P., 2006. On the Model Coefficients for the Standard and the Variational Multi-Scale Smagorinsky Model. Journal of Fluid Mechanics, 569, pp.287-319. https://doi.org/10.1017/S0022112006002850
  10. Pope, S.B., 2000. Turbulent Flows. Cambridge University Press: Cambridge.
  11. Rogallo, R.S. & Moin P., 1984. Numerical Simulation of Turbulent Flows. Annual Review of Fluid Mechanics, 16, pp.99-137. https://doi.org/10.1146/annurev.fl.16.010184.000531
  12. Szepessy, S. & Bearman, P.W., 1992. Aspect Ratio and End Plate Effects on Vortex Shedding from a Circular Cylinder. Journal of Fluid Mechanics, 234, pp.191-217. https://doi.org/10.1017/S0022112092000752
  13. Zobeiri, A. Ausoni, P. Avellan, F. & Farhat, M., 2012. How Oblique Trailing Edge of a Hydrofoil Reduces the Vortex-induced Vibration. Journal of Fluids and Structures, 32, pp.78-89. https://doi.org/10.1016/j.jfluidstructs.2011.12.003