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

Authors:
Xian-Bao Duan;Yi-Chen Ma;Rui Zhang
Affiliations:
School of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;School of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

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.