拍動流を考慮した非定常強制熱対流場における形状設計

抄録

This paper presents numerical solution to shape design problem for controlling temperature in unsteady forced heat-convection fields in which pulsating flow is consider as a boundary condition. The square error integral between the actual temperature distributions and prescribed temperature distributions on the prescribed sub-domains during the specified period of time is used as the objective functional. Shape gradient of the shape design problem is derived theoretically using the adjoint variable method, and the formulae of the material derivative. Reshaping is carried out by the H¹ gradient method proposed as an approach to solving shape optimization problems. Numerical analysis program for the shape design is developed based on FreeFEM, and the validity of proposed method is confirmed by results of 2D numerical analyses.