基于离散伴随方法的透平叶栅反设计

研究构建了基于离散伴随方法的叶轮机械叶栅气动反设计系统,将离散伴随系统从无黏环境扩展到了黏性环境,编程实现了黏性离散伴随求解器;改善了叶栅参数化方式并重新编程实现了叶栅参数化程序,解决了叶栅参数化过程中叶栅尾缘附近区域型线波动的问题。利用该系统对某二维跨声速透平叶栅在给定叶型壁面目标压力分布的情况下,通过构造目标函数将叶栅反设计问题转化为气动优化设计问题,成功进行了气动压力反设计。结果证明本文建立的叶栅反设计系统能够有效进行压力反设计,验证了本文建立的基于离散伴随方法叶轮机械叶栅气动反设计方法的正确性与有效性。

Inverse Design of Turbomachinery Cascade Based on Discrete Adjoint Method

An aerodynamic inverse design system for the turbomachinery cascade based on the discrete adjoint method was studied and established.The discrete adjoint system was extended from the inviscid environment to the viscous environment and the viscous discrete adjoint solver was implemented based on the discrete adjoint theory.The parameterization method and the program were improved in order to resolve the fluctuant problem near the trailing region of the cascade which occurred with the original parameterization method being used.Based on the system,a typical 2D transonic turbomachinery cascade was designed by constructing the objective function according to the target pressure distribution given beforehand appropriately.The inverse design result indicated that the aerodynamic inverse design system established in this paper could perform the pressure inverse design efficiently,and the validity and efficiency of the optimization design system were proved.