论文:2013,Vol:31,Issue(4):547-555
引用本文:
樊艳红, 宋文萍, 韩忠华. 提高基于Adjoint方法翼型优化设计鲁棒性的研究[J]. 西北工业大学
Fan Yanhong, Song Wenping, Han Zhonghua. Improving Robustness of Adjoint-Based Airfoil Optimization Design[J]. Northwestern polytechnical university

提高基于Adjoint方法翼型优化设计鲁棒性的研究
樊艳红, 宋文萍, 韩忠华
西北工业大学 翼型叶栅空气动力学国防科技重点实验室, 陕西 西安 710072
摘要:
通过引入线搜索方法,提高了基于Adjoint方法翼型优化设计的鲁棒性。针对给定的目标函数,推导了贴体坐标系下相应的Adjoint方程与边界条件的具体表达形式,以及梯度表达式。通过数值求解流动控制方程和Adjoint方程,得到目标函数对设计变量的梯度,并采用线搜索方法获得最优步长,由此提高了优化算法的鲁棒性。算例表明,线搜索方法可以自动寻找最优的步长,有效解决了传统的取常数步长优化步长选取受到限制,优化结果受步长影响的问题,使得优化方法对步长的依赖性变小,提高了基于Adjoint方法翼型优化设计的鲁棒性。
关键词:    Adjoint方法    气动优化设计    Navier-Stokes方程   
Improving Robustness of Adjoint-Based Airfoil Optimization Design
Fan Yanhong, Song Wenping, Han Zhonghua
National Key Laboratory of Science and Technology on Aerodynamic Design and Research,Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
By introducing the line search method, the robustness of the adjoint-based airfoil optimization design method is improved.For a given objective function, its corresponding adjoint equations, boundary conditions and the gradient expression in the body-fitted coordinate system are derived.In the optimization process, the gradient of the objective function is obtained by solving the flow equations and the adjoint equations, and for the traditional ad-joint-based optimization method, a constant step is used, while in this research, the line search method is intro-duced to obtain the optimal step.The results illustrate that it can automatically find the optimal step, and overcome the restriction imposed by the choice of user-defined constant step, which is used in the traditional adjoint-based optimization method, thus improving the robustness of the adjoint-based airfoil optimization design method.
Key words:    aerodynamics    airfoils    algorithms    design    efficiency    flowcharting    iterative methods    Navier Stokes equations    pressure distribution    reverse engineering    robustness(control systems)    shape optimization    viscous flow    adjoint method    gradient    line search method   
收稿日期: 2012-11-06     修回日期:
DOI:
基金项目: 国家自然科学基金(11272265);国家高技术发展计划(2012AA051301)资助
通讯作者:     Email:
作者简介: 樊艳红(1982-),女,西北工业大学博士研究生,主要从事理论与计算流体力学研究。
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