Topology optimization of Stokes flow using an implicit coupled level set method

Xianbao Duan; Xinqiang Qin; Feifei Li

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Topology optimization of Stokes flow using an implicit coupled level set method

机译：使用隐式耦合水平集方法对Stokes流进行拓扑优化

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摘要

We present a novel algorithm for the topology optimization of the Stokes problem. The level set method is implicitly coupled with the material distribution information to obtain the interface of the fluid flow. The design objective is to minimize the dissipated power in the fluid, subject to a fluid volume constraint. The proposed method takes full advantage of the features of the fluid flow. Furthermore, due to the level set method, this method is efficient and the boundaries can be described accurately. Two benchmark test examples are presented to illustrate that this new method is computational efficiency, robust, accurate and consistent with the results obtained in the context of shape and topology optimization of the fluids.

机译：我们为斯托克斯问题的拓扑优化提出了一种新颖的算法。水平设置方法与材料分布信息隐式耦合，以获得流体流动的界面。设计目标是在受到流体体积约束的情况下，使流体中的耗散功率最小。所提出的方法充分利用了流体流动的特征。此外，由于水平设置方法，该方法是有效的并且可以准确地描述边界。给出了两个基准测试示例，以说明该新方法的计算效率，鲁棒性，准确性以及与在流体形状和拓扑优化中获得的结果一致的结果。

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来源
《Applied Mathematical Modelling》 |2016年第10期|5431-5441|共11页
作者
Xianbao Duan; Xinqiang Qin; Feifei Li;
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作者单位

School of Sciences, Xi'an University of Technology, Xi'an, Shaanxi 710048, PR China;

School of Sciences, Xi'an University of Technology, Xi'an, Shaanxi 710048, PR China;

School of Sciences, Xi'an University of Technology, Xi'an, Shaanxi 710048, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Topology optimization; Stokes problem; Level set method; Material distribution method; Shape sensitivity analysis;

机译：拓扑优化;斯托克斯问题;水平设置方法;物料分配方法;形状敏感性分析;

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1. Topology optimization of steady Navier-Stokes flow via a piecewise constant level set method [J] . Dai Xiaoxia, Zhang Chengwei, Zhang Ye, Structural and multidisciplinary optimization . 2018,第6期

机译：通过分段恒定级别方法稳定Navier-Stokes流的拓扑优化
2. Shape-topology optimization of stokes flow via variational level set method [J] . Duan XB, Ma YC, Zhang R Applied mathematics and computation . 2008,第1期

机译：基于变分集方法的斯托克斯流形状拓扑优化
3. A variational level set method for the topology optimization of steady-state Navier-Stokes flow [J] . Zhou SW, Li Q Journal of Computational Physics . 2008,第24期

机译：稳态Navier-Stokes流的拓扑优化变分级别方法
4. TOPOLOGY OPTIMIZATION FOR STOKES PROBLEM UNDER MULTIPLE FLOW CASES USING AN IMPROVED LEVEL SET METHOD [C] . Bin Zhang, Xiaomin Liu, Jinju Sun ASME Fluids Engineering Division summer meeting . 2014

机译：利用改进的水平集方法对多流情况下的斯托克斯问题进行拓扑优化
5. Level-Set-XFEM-Density Topology Optimization of Active Structures: Methods and Applications =Level-Set-XFEM-Dichte Topologieoptimierung von Aktiven Strukturen: Methoden und Anwendungen [D] . Geiss, Markus Josef. 2019

机译：活动结构的水平集-XFEM-密度拓扑优化：方法和应用=活动结构的水平集-XFEM-密度拓扑优化：方法和应用
6. An optimized process flow for rapid segmentation of cortical bones of the craniofacial skeleton using the level-set method [O] . TD Szwedowski, J Fialkov, A Pakdel, 2013

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7. Shape-topology optimization for Navier–Stokes problem using variational level set method [O] . Duan Xian-Bao, Ma Yi-Chen, Zhang Rui 2008

机译：Navier–Stokes问题的形状拓扑优化，采用变分水平集方法

Topology optimization of Stokes flow using an implicit coupled level set method

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