Considerations on shape identification for flow channel including a rotational body

Abstract

In this paper, we describe the shape identification of a channel in incompressible viscous flow considering a rotational body. The purpose of this study is to obtain an optimal shape that will closely approach the target velocity in the target regions. The incompressible Navier Stokes equations are employed as the governing equations, and the adjoint variable method is applied to obtain the sensitivity for the optimal shape. The traction method is used to control the numerical oscillations of sensitivity for the shape update. Shape identification analysis is carried out using computed flow velocities in the target regions of target shape.