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

doi:10.7527/S1000-6893.2013.0247

流体力学与飞行力学

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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

白俊强¹, 刘南¹, 邱亚松¹, 陈迎春², 李亚林², 周涛²

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

收稿日期:2013-01-06 修回日期:2013-04-28 出版日期:2013-12-25 发布日期:2013-07-02
通讯作者: 白俊强，Tel.：029-88492174E-mail：junqiang@nwpu.edu.cn E-mail:junqiang@nwpu.edu.cn
作者简介:白俊强男，博士，教授。主要研究方向：飞行器总体及气动设计，计算流体力学。Tel：029-88492174E-mail：junqiang@nwpu.edu.cn；刘南男，博士研究生。主要研究方向：飞行器气动外形设计。E-mail：revolution890926@163.com；邱亚松男，博士研究生。主要研究方向：气动外形优化设计，复杂构型流场分析及其流动控制。Tel：029-88492174E-mail：qiuyasong@163.com；陈迎春男，博士，教授，常务副总师。主要研究方向：飞行器总体，气动设计。Tel：021-54100171E-mail：chenyingchun@comac.cc
基金资助:
国家级项目

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

BAI Junqiang¹, LIU Nan¹, QIU Yasong¹, CHEN Yingchun², LI Yalin², ZHOU Tao²

1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. Shanghai Aircraft Design and Research Institute, Commercial Aircraft Corporation of China Ltd., Shanghai 200232, China

Received:2013-01-06 Revised:2013-04-28 Online:2013-12-25 Published:2013-07-02

摘要/Abstract

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。

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

Abstract:

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 abilities 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.

Key words: multi-foil, computational fluid dynamics, parameterization method, particle swarm optimization, mesh deformation method

中图分类号:

白俊强, 刘南, 邱亚松, 陈迎春, 李亚林, 周涛. 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[J]. 航空学报, 2013, 34(12): 2701-2715.

BAI Junqiang, LIU Nan, QIU Yasong, CHEN Yingchun, LI Yalin, ZHOU Tao. Optimization of Multi-foil Based on RBF Mesh Deformation Method and Modified Particle Swarm Optimization Algorithm[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(12): 2701-2715.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

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

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