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基于改进水平集方法的翼型拓扑优化
引用本文:刘小民,张彬. 基于改进水平集方法的翼型拓扑优化[J]. 工程热物理学报, 2012, 0(4): 607-610
作者姓名:刘小民  张彬
作者单位:西安交通大学能源与动力工程学院
基金项目:中央高校基本科研业务费专项资助项目(No.xjj20100073);陕西省科技统筹创新工程项目(No.2011KTCL01-04)
摘    要:将改进的水平集方法与灵敏度分析方法相结合,发展了一种研究Navier-Stokes方程拓扑优化的新方法。在拓扑优化过程中,引入无需样条参数化的网格重新划分方法,实现水平集函数演化和流场求解的结合。最后,通过对低雷诺数条件下Navier-Stokes翼型优化问题的研究,表明该方法具有良好的全局性,并能有效节约优化问题的计算工作量。

关 键 词:水平集方法  灵敏度分析  Navier-Stokes翼型优化  拓扑优化

Topology Optimization of Airfoil Based on an Improved Level Set Method
U Xiao-Min,HANG Bin. Topology Optimization of Airfoil Based on an Improved Level Set Method[J]. Journal of Engineering Thermophysics, 2012, 0(4): 607-610
Authors:U Xiao-Min  HANG Bin
Affiliation:(School of Energy and Power Engineering,Xi’an Jiaotong University,Xi’an 710049,China)
Abstract:Combining the improved level set method with the sensitivity analysis,a new topology optimization method for Navier-Stokes problem is developed.In the topology optimization,a spline-free re-meshing method is introduced to achieve the integration of the level set function evolution and the flow analysis.Finally,the study of airfoil optimization of Navier-Stokes problem at a low Reynolds number demonstrates that the proposed method gets a global result and saves effectively the numerical work of the optimization problems.
Keywords:level set method  sensitivity analysis  airfoil optimization of Navier-Stokes problem  topology optimization
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