应用控制理论的叶栅气动反设计  

AERODYNAMIC INVERSE DESIGN OF CASCADE USING CONTROL THEORY

作　　者：李颖晨[1] 丰镇平[1] 

机构地区：[1]西安交通大学叶轮机械研究所,陕西西安710049

出　　处：《工程热物理学报》2008年第5期755-758,共4页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.50776065)

摘　　要：基于控制理论的气动设计方法作为一种基于梯度的优化方法,通过引入伴随系统计算目标函数的敏感性导数,大大降低设计成本。本文将基于控制理论的气动设计方法应用到透平叶栅的气动反问题中,应用Euler方程研究了二维叶栅的压力反设计问题,并讨论了该方法具体实施中的关键问题,包括采用非均匀B样条进行二维叶栅造型;应用Thompson时间相关边界条件理论进行伴随方程特征分析;研究伴随方程的数值求解方法,构造伴随方程的耗散通量.通过算例证明了该气动设计方法适用性好,速度快,可以大大节约计算成本。Aerodynamic design method based on control theory is a gradient-based method. The sensitivity gradient can be calculated in a very cheap way through an adjoint system, which makes it a huge advantage in reducing cost. The application to turbomachinery blade inverse design is performed in this paper. 2D blade pressure inverse design is studied and the main implement issues are discussed here, including blade parameterization by NURBS, characteristic analysis of adjoint equation using Thompson＇s time-related boundary condition theory, and numerical strategies of solving adjoint equation through constructing dissipation flux. Several examples are studied to demonstrate this method being applicable, fast and cost saving.

关 键 词：反问题 控制理论 敏感性导数 EULER方程 伴随方程 

分 类 号：TK124[动力工程及工程热物理—工程热物理]