基于B样条和萤火虫算法的测压孔布置优化研究
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摘要
风洞实验昂贵,实验前有必要进行数值仿真以预测减少盲目性.采用B样条拟合方法对CFD实验的翼型表面压力分布的大量数据进行拟合,并在测压孔数一定的情况下使用萤火虫算法寻找最小二乘意义上的测压点位置.结果表明,优化后的测压点拟合的曲线与原来大量数据拟合的曲线比较接近,同时一种在高维非标准单纯形内使用萤火虫算法的新方法被发现.
Wind tunnel experiments are expensive,so numerical simulation should be carried out to minimize the blindness before the experiments. The extensive data of airfoil surface pressure distribution from CFD was fitted by means of B-spline fitting method and the optimal locations(least square approximation) of pressure measurement holes are determined in the case where the holes' number is consistant,using firefly algorithm method.Simulation results show that the curve fitted by the holes calculated is close to the one fitted by the original data fromCFD.Moreover, a new application method of firefly algorithm in high dimension simplex is found.
Wind tunnel experiments are expensive,so numerical simulation should be carried out to minimize the blindness before the experiments. The extensive data of airfoil surface pressure distribution from CFD was fitted by means of B-spline fitting method and the optimal locations(least square approximation) of pressure measurement holes are determined in the case where the holes' number is consistant,using firefly algorithm method.Simulation results show that the curve fitted by the holes calculated is close to the one fitted by the original data fromCFD.Moreover, a new application method of firefly algorithm in high dimension simplex is found.
引文
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[4]孙越泓,魏建香,夏德深.基于自适应遗传算法的B样条曲线拟合的参数优化[J].计算机应用,2010,07:1878-1882.
[5]温秀兰,王东霞,盛党红,朱晓春.改进遗传算法用于自由曲线重建研究[J].中国机械工程,2012, 17:2048-2052.
[6]朱庆生,曾令秋,屈洪春,刘骥.基于粒子群算法的B样条曲线拟合.[J].计算机科学,2009, 10:289-291.
[7]公亚利林意.基于粒子群三次样条优化的图像边缘描述算法[J].计算机工程与应用,2014,12:151-154.
[8] YANG Xin-she. Nature-inspired metaheuristic algorithms[M].[S.1.]:Luniver Press, 2008.
[9]刘长平,叶春明.一种新颖的仿生群智能优化算法:萤火虫算法[J].计算机应用研究,2011(09):3295-3297.
[10]胡婷婷,贺兴时,杨新社.基于萤火虫算法的Markov模型及收敛性分析[J].纺织高校基础科学学报,2014, 04:496-501.
[11]莫愿斌,马彦追,郑巧燕,袁伟军.单纯形法的改进萤火虫算法及其在非线性方程组求解中的应用[J].智能系统学报,2014,06:747-755.
[12]马国庆,李瑞峰,刘丽.学习因子和时间因子随权重调整的粒子群算法[J].计算机应用研究,2014, 11:3291-3294.
[13]夏盼秋.高维欧氏空间中向量的外积[J].大学数学,2011,04:159-164.
[14] Blei D M, Ng A Y, Jordan M I. Latent Dirichlet allocation[J]. Journal of Machine Learning R esearch, 2003(3):993-1022.
[15]王丙参,魏艳华,孙永辉.利用舍选抽样法生成随机数[J].重庆师范大学学报(自然科学版),2013(06):86-91.