Topology optimization of fluid channels with flow rate equality constraints

Authors:
Zhenyu Liu;Qingyong Gao;Ping Zhang;Ming Xuan;Yihui Wu
Affiliations:
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun, People's Republic of China 130033;Graduate University of Chinese Academy of Sciences, Beijing, People's Republic of China;State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun, People's Republic of China 130033;State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun, People's Republic of China 130033;State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun, People's Republic of China 130033
Venue:
Structural and Multidisciplinary Optimization
Year:
2011

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Abstract

This note presents topology optimization of fluid channels with flow rate equality constraints. The equality constraints on the specified boundaries are implemented using the lumped Lagrange multiplier method. The quadratic penalty term and cut-off sensitivity are used to maintain the stability of optimization.