基于改进Gappy POD方法的压气机叶栅气动外形反设计方法  

Inverse design for aerodynamic shape of compressor cascade based on improved Gappy POD method

作　　者：刘汉儒 马岩[1,2] 赵星宇 王掩刚 胡佳伟[2] 李丽丽 蒋永松 LIU Hanru;MA Yan;ZHAO Xingyu;WANG Yangang;HU Jiawei;LI Lili;JIANG Yongsong(Yangtze River Delta Research Institute,Northwestern Polytechnical University,Taicang Jiangsu 215400,China;School of Power and Energy,Northwestern Polytechnical University,Xi'an 710129,China;Shenyang Engine Research Institute,Aero Engine Corporation of China,Shenyang 110015,China)

机构地区：[1]西北工业大学长三角研究院,江苏太仓215400 [2]西北工业大学动力与能源学院,西安710129 [3]中国航空发动机集团有限公司沈阳发动机研究所,沈阳110015

出　　处：《航空动力学报》2022年第3期607-618,共12页Journal of Aerospace Power

基　　金：国家科技重大专项(2017⁃Ⅱ⁃0009⁃0023);太仓市大院大所创新引领专项项目(TC2019DYDS09)。

摘　　要：针对压气机叶栅气动高效反设计,建立了基于Gappy proper orthogonal demcomposition(Gappy POD)的气动外形反设计框架。通过Kriging代理模型优化获得某型压气机叶栅的气动优化结果,并以此作为反设计目标基础。为进一步提高基本Gappy POD反设计的效率及精度,发展了基于自适应快照替换优化和修正目标压力系数分布的两种改进方法,并对基本Gappy POD结合两种改进策略的反设计精度和效率进行了详细对比。结果表明:基于自适应快照替换优化流程的反设计框架使得反设计精度明显提高,叶片表面压力系数分布方均根误差从6.49×10^(-3)降低到1.29×10^(-3),而通过修正目标压力系数分布则提高了单次反设计精度。将两种改进策略同时结合改进Gappy POD,能够获得在同等设计精度下更快的收敛速度,可为压缩系统几何部件反设计提供新的高效方法。In view of the high⁃efficiency aerodynamic inverse design of the compressor cas⁃cade,an inverse design framework of the aerodynamic shape based on Gappy proper orthogonal decomposition(Gappy POD)was established.A certain type of compressor cascade was opti⁃mized through the Kriging surrogate model to obtain the aerodynamic optimization results,which were used as the basis of the inverse design goals.To further enhance the efficiency and accuracy,two improved methods based on adaptive snapshot replacement optimization and correction of the target pressure coefficient distribution were developed.The efficiency and accuracy of the basic Gappy POD combining these two improvement strategies were compared.Results showed that,the inverse design framework based on the adaptive snapshot replacement optimization process significantly improved the accuracy,and the root mean square error of the pressure coefficient distribution on the blade surface was reduced from 6.49×10^(-3)to 1.29×10^(-3).Correcting the tar⁃get pressure coefficient distribution could improve the accuracy of the single inverse design.Com⁃bining the two improvement strategies for Gappy POD can achieve faster convergence speed with the same design accuracy,which can provide a new and efficient method for the reverse design of the geometric components of turbomachinery.

关 键 词：压气机叶栅 气动反设计 改进Gappy POD 快照替换优化 压力系数分布修正 

分 类 号：V231.1[航空宇航科学与技术—航空宇航推进理论与工程]