The application of domain derivative of the nonhomogeneous Navier–Stokes equations in shape reconstruction

This paper is concerned with the shape reconstruction of the Newtonian viscous incompressible fluids driven by the stationary nonhomogeneous Navier–Stokes equations. By formulating the domain derivative of the nonhomogeneous Navier–Stokes equations and applying a regularized Gauss–Newton iterative algorithm, the numerical examples are given for recovering the shape. The results show that our theory is useful for practical purpose and the proposed algorithm is feasible.