基于边界涡量流的二维叶型优化建模与求解

针对二维叶片整体造型优化问题,提出一种基于边界涡量流的二维叶型优化模型,并对该模型进行求解。建立以含参数的Bezier曲线定义的二维叶型型线为边界、以边界涡量流正峰值的最小化为目标函数的优化模型,通过分析边界涡量流的生成机制,把叶型型线边界信息代入边界涡量流中,将边界涡量流用叶型型线参数和型线上的气动参数表示,进而获得新的目标函数表达式。该目标函数表达式可直接对叶型型线参数求导,仅使用简单的定步长梯度算法即可对优化模型求解。结果表明:优化后的叶型型线上的边界涡量流的正峰值显著降低。

The Optimization Model and Solution of Two-dimensional Compressor Blade Based on Boundary Vorticity Flux

Concerning the optimization of two-dimensional compressor blade,a optimization model based on Boundary Vorticity Flux (BVF) was proposed and solved. Starting from a optimization model:the boundary is two-dimensional compressor blade defined by Bezier curve and the optimization target is the minimize of positive peak of Boundary Vorticity Flux (BVF), a new objective function is established through that the information of blade curve are brought into BVF by analyzing the reason of BVF production.The new objective function can get partial derivation of the parameters of blade curve,which make the simple gradient arithmetic being used to solve the built optimization model.The optimization experiment shows that the positive peak of Boundary Vorticity Flux is effectively decreasing in this process.