Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
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Shape Design Optimization of Fluid-Structure Interaction Problems

유체-구조 연성 문제의 형상 최적설계

  • Ha, Yoon-Do (Department of Naval Architecture and Ocean Engineering and Research Institute of Marine Systems Engineering, Seoul National University) ;
  • Kim, Min-Geun (Department of Naval Architecture and Ocean Engineering and Research Institute of Marine Systems Engineering, Seoul National University) ;
  • Cho, Hyun-Gyu (Samsung Heavy Industries Co. Ltd.) ;
  • Cho, Seon-Ho (Department of Naval Architecture and Ocean Engineering and Research Institute of Marine Systems Engineering, Seoul National University)
  • 하윤도 (서울대학교 조선해양공학과) ;
  • 김민근 (서울대학교 조선해양공학과) ;
  • 조현규 (삼성중공업 (주)) ;
  • 조선호 (서울대학교 조선해양공학과)
  • Published : 2007.04.20
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Abstract

A coupled variational equation for fluid-structure interaction (FSI) problems is derived from a steady state Navier-Stokes equation for incompressible Newtonian fluid and an equilibrium equation for geometrically nonlinear structures. For a fully coupled FSI formulation, between fluid and structures, a traction continuity condition is considered at interfaces where a no-slip condition is imposed. Under total Lagrange formulation in the structural domain, finite rotations are well described by using the second Piola-Kirchhoff stress and Green-Lagrange strain tensors. An adjoint shape design sensitivity analysis (DSA) method based on material derivative approach is applied to the FSI problem to develop a shape design optimization method. Demonstrating some numerical examples, the accuracy and efficiency of the developed DSA method is verified in comparison with finite difference sensitivity. Also, for the FSI problems, a shape design optimization is performed to obtain a maximal stiffness structure satisfying an allowable volume constraint.

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References

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