COMPUTATIONS ON FLOW FIELDS AROUND A 3D FLAPPING PLATE USING THE HYBRID CARTESIAN/IMMERSED BOUNDARY METHOD

HCIB 법을 이용한 변형하는 평판 주위의 3차원 유동해석

  • 신상묵 (부경대학교 조선해양시스템공학과)
  • Published : 2007.03.31

Abstract

A code is developed using the hybrid Cartesian/immersed boundary method and it is applied to simulate flows around a three-dimensional deforming body. A new criterion is suggested to distribute the immersed boundary nodes based on edges crossing a body boundary. Velocities are reconstructed at the immersed boundary nodes using the interpolation along a local normal line to the boundary. Reconstruction of the pressure at the immersed boundary node is avoided using the hybrid staggered/non-staggered grid method. The developed code is validated through comparisons with other experimental and numerical results for the velocity profiles around a circular cylinder under the forced in-line oscillation and the pressure coefficient distribution on a sphere. The code is applied to simulate the flow fields around a plate whose tail is periodically flapping under a translation. The effects of the velocity and acceleration due to the deformation on the periodic shedding of pairs of tip vortices are investigated.

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References

  1. Peskin, C.S., 1972, "Flow Patterns around Heart Valves: a Numerical Method," Journal of Computational Physics, Vol.10, pp.252-271 https://doi.org/10.1016/0021-9991(72)90065-4
  2. Kim, D. and Choi, H., 2006, "Immersed Boundary Method for Flow around an Arbitrary Moving Body," Journal of Computational Physics, Vol.212, pp.662-680 https://doi.org/10.1016/j.jcp.2005.07.010
  3. Kirkpatrick, M.P., Armfield, S.W. and Kent, J.H., 2003, "A Representation of Curved Boundaries for the Solution of the Navier-Stokes Equations on a Staggered Three- Dimensional Cartesian Grid," Journal of Computational Physics, Vol.184, pp.1-36 https://doi.org/10.1016/S0021-9991(02)00013-X
  4. Gilmanov, A., Sotiropoulos, F. and Balaras, E., 2003, "A General Reconstruction Algorithm for Simulating Flows with Complex 3D Immersed Boundaries on Cartesian Grids," Journal of Computational Physics, Vol.191, pp.660-669 https://doi.org/10.1016/S0021-9991(03)00321-8
  5. Gilmanov, A. and Sotiropoulos, F., 2005, "A Hybrid Cartesian/Immersed Boundary Method for Simulating Flows with 3D, Geometrically Complex, Moving Bodies," Journal of Computational Physics, Vol.207, pp.457-492 https://doi.org/10.1016/j.jcp.2005.01.020
  6. Shin, S., Bae, S.Y., Kim, I.C., Kim, Y.J. and Goo, J.S., 2006, "Computations of Flow over a Flexible Plate using the Hybrid Cartesian/Immersed Boundary Method," International Journal for Numerical Methods in Fluids, in press
  7. 신상묵, 김형태, 2006, "Hybrid Cartesian/Immersed Boundary법을 이용한 2차원 변형날개 주위 점성유동 해석," 대한조선학회논문집, Vol.43-5, pp.538-549 https://doi.org/10.3744/SNAK.2006.43.5.538
  8. Dutsch, D., Durst, F., Becker, S. and Lienhart H., 1998, "Low-Reynolds-Number Flow around an Oscillating Circular Cylinder at Low Keulegan-Carpenter Numbers," Journal of Fluid Mechanics, Vol.360, pp.249-271 https://doi.org/10.1017/S002211209800860X
  9. Yang, J. and Balaras, E., 2006, "An Embedded-Boundary Formulation for Large-Eddy Simulation of Turbulent Flows Interacting with Moving Boundaries," Journal of Computational Physics, Vol.215, pp.12-40 https://doi.org/10.1016/j.jcp.2005.10.035
  10. Johnson, T.A., 1996, "Numerical and Experimental Investigation of Flow past a Sphere up to a Reynolds Number of 300," Ph.D. Dissertation, University of Iowa, Iowa