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Numerical Simulation of a Viscous Flow Field Around a Deforming Foil Using the Hybrid Cartesian/Immersed Boundary Method

Hybrid Cartesian/Immersed Boundary 법을 이용한 2차원 변형날개 주위 점성유동 해석

  • Shin, Sang-Mook (Dept. of Naval Architecture & Marine Systems Eng., Pukyong National Univ) ;
  • Kim, Hyoung-Tae (Dept. of Naval Architecture & Ocean Eng., Chungnam National Univ.)
  • 신상묵 (부경대학교 조선해양시스템공학과) ;
  • 김형태 (충남대학교 선박해양공학과)
  • Published : 2006.10.20

Abstract

A code is developed to simulate a viscous flow field around a deformable body using the hybrid Cartesian/immersed boundary method. In this method, the immersed boundary(IB) nodes are defined near the body boundary then velocities at the IB nodes are reconstructed based on the interpolation along the normal direction to the body surface. A new method is suggested to define the IB nodes so that a closed fluid domain is guaranteed by a set of IB nodes and the method is applicable to a zero-thickness body such as a sail. To validate the developed code, the vorticity fields are compared with other recent calculations where a cylinder orbits and moves into its own wake. It is shown the code can handle a sharp trailing edge at Reynolds number of $10^5$ under moderate requirements on girds. Finally the developed code is applied to simulate the vortex shedding behind a deforming foil with flapping tail like a fish. It is shown that the acceleration of fluids near the flapping tail contributes to the generation of the thrust for propulsion.

Keywords

References

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