Topology optimization for shallow flow channel design using depth integrated turbulence model

Abstract

This paper deals with a shallow flow channel design for minimizing dissipation energy. In the flow channel design, we prepare a quasi three-dimensional flow model which simplify the 3D-RANS (Reynolds Averaged Navier-Stokes) equations regarding the flow channel height as a parameter. Then, the flow channel is designed using topology optimization where the design variable is the channel height. In topology optimization the design update scheme is based on a time-dependent diffusion equation using a design sensitivity which is calculated by a discrete adjoint approach.