晏文璟教授，西安交通大学

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.