Shape-topology optimization for Navier–Stokes problem using variational level set method

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摘要

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.

论文关键词:49Q10,49Q12,35Q30,93B40,Navier–Stokes problem,Shape-topology optimization,Sensitivity analysis,Variational level set method

论文评审过程:Received 18 June 2007, Revised 14 November 2007, Available online 14 December 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.11.016