Shape-topology optimization of stokes flow via variational level set method

In this paper, the conventional level set method is extended as an efficient approach for shape optimization. The motion of the dynamic interface is governed by Stokes equations. Although this method is not specifically designed for topology optimization, it can handle topology changes easily. Furthermore, a relatively smooth evolution can be maintained without re-initialization. The cost of this method is moderate. The accuracy and efficiency of the proposed algorithm are illustrated by several numerical examples.