基于离散伴随方法的透平叶栅压力反设计研究

摘要

A discrete adjoint solver is constructed according to the discrete adjoint theory and the automatic differentiation technology based on an in-house flow solver code. An aerodynamic optimization design system for turbomachinery cascades is established by coupling a parameterization program, a structured multi -block grid generator, a flow solver and the discrete adjoint solver established in this work. Based on the optimization system, the pressure inverse design problem could be translated to an optimization problem by constructing the objective function appropriately. An inverse design for a typical 2D transonic turbomachinery cascade is preformed under the inviscid flow environment according to the target pressure distribution specified beforehand. The inverse design result indicates that the optimization system established in this article could implement the pressure inverse design efficiently. The validity and efficiency of the optimization design system are proved.%根据离散伴随方法理论和自动微分技术,由流场求解器源代码构造了相应的离散伴随场求解器.通过耦合参数化程序、网格生成程序、流场求解器和伴随场求解器,建立了适用于叶轮机械叶栅的气动优化设计系统.利用该系统,对某二维跨音速透平叶栅在给定叶型表面目标压力分布的情况下,通过构造合适的目标函数将叶栅反设计问题转化为叶栅气动优化设计问题,成功进行了气动反设计.反设计结果表明,文中建立的叶栅气动优化设计系统能够根据给定的叶型表面压力分布有效地进行压力反设计,验证了该方法的正确性与有效性.