Topology optimization of steady Navier-Stokes flow using moving morphable void method

In order to explicitly and smoothly implement fluid-based topology optimization for improving the performance and manufacturing efficiency of flow systems, the moving morphable void (MMV) method is employed to optimize the steady-state navier-stokes (NS) flow for minimizing the dissipation energy un...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2024-05, Vol.161, p.212-224
Main Authors: Wang, Chunxiu, Fang, Lixue, Wang, Xuan, Zhou, Huanlin, Guo, Xin
Format: Article
Language:English
Subjects:
Brinkman term
Geometric information
MMV method
Navier-Stokes flow
Topology optimization
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Summary:In order to explicitly and smoothly implement fluid-based topology optimization for improving the performance and manufacturing efficiency of flow systems, the moving morphable void (MMV) method is employed to optimize the steady-state navier-stokes (NS) flow for minimizing the dissipation energy under a volume constraint. To this end, a MMV-based Brinkman term is proposed to penalize the velocity in solid area, which can expand the region controlled by the NS flow equilibrium equation from fluid to whole design domain, and can also establish the relationship between design variables and governing equations. Then, a MMV-based optimization model of NS flow is proposed and the design variables are updated by the method of moving asymptotes according to the sensitivity analysis. In benchmark examples, we can precisely track the topology boundary with detailed geometric information without the intuitive geometric judgement error. Also, by means of contrasting the results of proposed method with previous work, the effectiveness and advantages of the MMV method can be confirmed.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2024.03.009