We consider the shape-topology optimization of the Navier-Stokes problem. A new algorithm is proposed based on the variational level set method. By this algorithm, a relatively smooth evolution can be maintained without re-initialization and drastic topology change can be handled easily. Finally, the promising features of the proposed method are illustrated by two benchmark examples. © 2007 Elsevier B.V. All rights reserved.
Duan, X. B., Ma, Y. C., & Zhang, R. (2008). Shape-topology optimization for Navier-Stokes problem using variational level set method. Journal of Computational and Applied Mathematics, 222(2), 487–499. https://doi.org/10.1016/j.cam.2007.11.016