Wenjing Yan, Professor, Xi'an Jiaotong University

Xin Liu, Professor

The Application of Continuous Adjoint Method for Shape Optimization in Navier-Stokes Flow

9:00-9:40 November 23(Wednesday), Tencent Meeting ID: 481-992-993

In this work, the shape optimization problem of a solid immersed in the incompressible fluid governed by Navier-Stokes equations is considered. Based on the continuous adjoint method, the shape gradient of the cost functional is derived by involving a Lagrange functional with the function space parametrization technique.  Then, a gradient-type algorithm is applied to the shape optimization problem. Numerical examples indicate the proposed algorithm is feasible and effective in low Reynolds number flow.