物理学报Issue(19)：11-19,9.DOI:10.7498/aps.62.190201
基于梯度响应面模型的优化设计
Gradient-based response surface approximations for design optimization
摘要
Abstract
This paper presents a gradient-based response surface (GBRS) model and its applications to the aerodynamic design optimization. Since the widely used polynomial response surface model is continuous and differentiable, the gradients of the original response can be involved in constructing the quadratic polynomial response surface model. For the quadratic GBRS model, the number of the required samples depends linearly, instead of quadratically on the number of design parameters. Firstly, the samples are determined through the modified design of experiment with shortened sampling time to construct the GBRS model. Then function experiments are performed to evaluate the accuracy of GBRS model and its effectiveness in searching for the global minimum. Finally the gradients for constructing the GBRS model are calculated by the adjoint method and then an inverse design and an optimization design for improving the efficiency of a cascade are performed based on the GBRS model and the complex method. Results demonstrate that the optimization method based on the GBRS model is feasible and effective for obtaining the global optimum with high optimization efficiency;and the aerodynamic performance of the cascade can be significantly improved.关键词
气动优化设计/响应面模型/伴随方法/复合形法Key words
aerodynamic design optimization/response surface model/adjoint method/complex method引用本文复制引用
罗佳奇,刘锋..基于梯度响应面模型的优化设计[J].物理学报,2013,(19):11-19,9.基金项目
国家自然科学基金(批准号:51206003,51376009)和中国博士后科学基金(批准号:2012M510267,2013T60035)资助的课题 （批准号:51206003,51376009）
