基于RBF动网格方法和改进粒子群优化算法的多段翼型优化  

Optimization of Multi-foil Based on RBF Mesh Deformation Method and Modified Particle Swarm Optimization Algorithm

作　　者：白俊强[1] 刘南[1] 邱亚松[1] 陈迎春[2] 李亚林[2] 周涛[2] 

机构地区：[1]西北工业大学航空学院,陕西西安710072 [2]中国商用飞机有限责任公司上海飞机设计研究所,上海200232

出　　处：《航空学报》2013年第12期2701-2715,共15页Acta Aeronautica et Astronautica Sinica

基　　金：国家级项目~~

摘　　要：采用经风洞试验验证的计算流体力学(CFD)方法和网格生成策略,对Bezier曲线、B样条曲线参数化方法、粒子群优化(PSO)算法以及径向基函数(RBF)动网格技术在二维多段翼型设计中的应用进行了研究。通过对比研究Bezier曲线和B样条参数化方法可知,B样条曲线在描述能力和局部支柱特性等方面优于Bezier曲线。利用3个复杂函数对PSO算法进行测试,结果表明:改进的PSO(MPSO)算法在收敛速度方面明显优于标准PSO算法,且收敛结果也优于标准PSO算法。同时建立了鲁棒性高、耗时短且适用于多段翼型优化的RBF动网格方法。运用MPSO算法分别对两段翼型和三段翼型进行了优化设计,提高了设计多段翼型的最大升力系数和失速迎角。两段翼型的最大升力系数增加量分别为4.1%(Bezier参数化方法)和4.46%(B样条参数化方法),三段翼型的最大升力系数增量为6.74%。对于本文的算例,B样条参数化方法明显优于Bezier曲线,同时也证明了本文所建立优化流程的可靠性。This paper applies the Bezier and B-spline parameterization methods and particle swarm optimization （PSO） algorithm and radial basis function （RBF） mesh deformation method to multi-foil optimization based on the computational fluid dynamic （CFD） method and mesh generation technique, and the results are validated by wind tunnel tests. Comparing the definitions and properties of the Bezier curve and B-spline, the latter is found to be better than the former in description abili- ties and local supporting characteristics. The optimization results of three complex functions show that the convergence rate and result of the modified PSO （MPSO） algorithm is better than the original PSO algorithm. A robust, less time-consuming RBF mesh deformation method is built, which is fit for the mesh variation variation in multi-foil optimization. Two-element and three-element multi-foils are optimized by the MPSO algorithm, which increases the maximum lift coefficient and stall angle of attack of the multi-foil. The increase of maximum lift coefficient of the two-element foil is 4. 1% （with Bezier） and 4.46% （with B-spline）. The increase of the three-element foil is 6.74%. Therefore, it is shown that the B-spline parameterization method is better than Bezier for two-element multi-foil optimization, and the optimization process is valid and reliable.

关 键 词：多段翼型 计算流体力学 参数化方法 粒子群优化 动网格方法 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] V211.4