复杂约束环境下基于控制理论的透平叶栅气动优化  

AERODYNAMIC DESIGN OPTIMIZATION WITH CONSTRAINTS FOR TURBOMACHINERY BASED ON CONTROL THEORY

作　　者：厉海涛[1] 宋立明[1] 丰镇平[1] 

机构地区：[1]西安交通大学叶轮机械研究所

出　　处：《工程热物理学报》2010年第8期1294-1298,共5页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50776065)

摘　　要：本文应用控制理论,基于网格节点位置坐标直接变分法建立了N-S方程的伴随系统.以叶栅通道内熵增最小为目标函数,并以流量为约束条件,详细推导了具有约束条件的二维N-S方程伴随系统的偏微分方程组及其相应的边界条件和敏感性导数的表达式。建立了基于黏性连续伴随方程和N-S方程的二维叶栅气动优化设计系统,并成功地应用于某一跨音速叶栅的优化设计。对计算结果的分析表明,该方法能够适用于透平叶栅气动优化设计。In this paper,an approach of the adjoint system deduction based on the variation in grid node coordinates was applied.The minimization of entropy generation rate with a mass flow rate constraint was considered as the cost function of the optimization,and was applied in the direct design process.The adjoint partial differential equation（P.D.E） of the 2D N-S equation,as well as its boundary conditions,and the finial expression of sensitivity gradient were deduced in detail.An aerodynamic shape design optimization algorithm based on viscous adjoint method and N-S equation for 2D turbine blades was developed.Finally,to validate the present optimization algorithm,the aerodynamic design cases of a transonic turbine blade with and without mass flow rate restriction were performed and analyzed.

关 键 词：气动优化 控制理论 黏性连续伴随方程 熵增 约束 

分 类 号：TK124[动力工程及工程热物理—工程热物理]