Shape optimization analysis considering a rotational body in a flow field based on the adjoint variable and the finite element methods

Abstract

In this study, we present a shape optimization analysis considering a rotational body in a flow field based on the adjoint variable and the finite element methods. The purpose of this study is to obtain an optimal shape so as to closely approach the target velocity in the target regions. It is necessary to apply the correct boundary conditions to the boundaries of the rotational structure to be able to obtain an appropriate shape that satisfies the conditions of the target velocity. It is also important to determine the position of the target domain given the target velocity. Based on these considerations, we have constructed a program code for shape optimization analysis considering rotational body in a flow field. Freefem++ was used to calculate the optimal shape.

Keywords

• shape optimization
• adjoint variable method
• finite element method
• incompressible viscous fluid field
• rotational body