MIT 요동 익형의 수치해석



Kang, Dong-Jin;Bae, Sang-Soo

  • 발행 : 2000.06.01


A Navier-Stokes code based on an unstructured finite volume method is used to simulate the MIT flapping foil experiment. A low Reynolds number ${\kappa}-{\varepsilon}$ turbulence model is used to close the Reynolds averaged Navier-Stokes equations. Computations are carried out for the whole experimental domain involving two flapping foils and a downstream hydrofoil. The computational domain is meshed with unstructured quadrilateral elements, partly structured. Numerical solutions show good agreement with experiment. The first harmonics of the velocity in the boundary layer shows local peak value inside the boundary layer and also local minimum near the edge of boundary layer. It is intensified as it develops along the blade surface. This is shown to be caused as the unsteadiness inside the boundary layer is being convected at a speed less than the free stream value. It is also shown that there is negligible mixing of the unsteadiness between the boundary layer and the free stream


비정렬 유한체적법;수중익;요동익;조화함수;비정상 와류


  1. Ho, Y., Lakshminarayana, B., Thompson, D. E., ?and Morris, P. J., 1995, 'Numerical Simulation of Steady and Unsteady Viscous Flows in Turbomachinery Blade Rows,' Pennsylvania State University Turbomachinery Laboratory Report, PSU TURBO 9503
  2. Rice, J. Q., 'Investigation of A Two Dimensional Hydrofoil in Steady and Unsteady Flows,' M. S. Thesis, Massachusetts Institute of Technology, June, 1991
  3. Paterson, E., and Stern, F., 1993, 'Computation of Unsteady Viscous Flow with Application to the MIT Flapping-Foil Experiment,' Sixth Int. Conf on Numerical Ship Hydrodynamics
  4. Taylor, L. K., Busby, J. A., Jiang, M. Y., Arabashi, A., Sreenivas, K., and Whitfield, D. L., 1993, 'Time Accurate Incompressible NavierStokes Simulation of the Flapping Foil Experiment,' Sixth Int. Conf on Numerical Ship Hydrodynamics
  5. 강동진,배상수,주상우,1998,'비압축성 점성유동 해석을 위한 비정렬 유한체적법,' 대한기계학회논문집 제22권 제20호,pp.1410-1421
  6. Leonard, B. P., 1979, ' A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation,' Comput. Methods Appl. Mech. Eng., Vol. 19, pp. 59-98
  7. 강동진,배상수,1999,'비정렬 유한 체적법을 위한 QUICK법의 수정,' 대한기계학회논문집 투고중
  8. Chien, K. Y., 1982, 'Prediction of Channel and Boundary Layer Flows with a Low Reynolds Number Turbulence Model,' AIAA J., Vol. 20, pp, 33-38
  9. Kang, D. J., Bae, S. S., and Kim, J. W., 1999, 'Navier-Stokes Simulation of MIT Flapping Foil Experiment Using an Unstructured Finite Volume Method,' Turbo-Expo 99, Indianapolis
  10. Lee, Y. T., Kiris, C., Rogers, S. E., Zawadzki, I., and Kwak, D., 1995, 'Steady and Unsteady Multi-Foil Interactions by Navier-Stokes and Euler Calculations,' Unsteady Aerodynamics and Aeroelasticity of Turbomachinery, Elsevier Science B. V., pp. 93-107