三维叶轮机叶片黏性反问题设计改进方法

Improved viscous inverse design method for three-dimensional turbomachinery blades

提出了一种改进的适用于三维黏性流场的叶轮机叶片反问题设计方法。该方法假设叶片的中弧线具有虚拟移动速度,其位移量由目标载荷与实际载荷的差值计算,并利用黏性底层厚度进行限制。采用三次B样条曲线插值方法对叶片中弧线进行光顺,新叶型通过更新后的中弧线和给定的叶片厚度得到。算例验算结果表明:该方法能够根据设计意图对叶型进行修改,鲁棒性强,收敛速度快,叶片的可变自由度高,不依赖于特定的网格和求解器,具备一定的通用性。

An improved inverse design method for three-dimensional turbomachinery blades in viscous flow field was proposed.It was assumed that the camber line had a virtual moving speed.The virtual movement was calculated by the difference between the target load and the actual load,and was reasonably limited by the thickness of viscous sublayer.The camber line was smoothed by cubic B-spline interpolation,and the new blade profile was obtained by updated camber line and the given blade thickness.Verification results show that the method can modify the blade profile according to the design intention.It has strong robustness,fast convergence speed,and high degree of freedom of the blade,independent of the specific grid and solver,and also it has certain generality.