基于复合映射法及B样条的翼型参数化方法

A Parameterization Method for Airfoil Based on Composite Mapping Method and B-Spline

为提高翼型气动优化设计的计算效率,可通过限制几何设计变量个数的方法来实现。为保证设计可行性,提出了一种对B样条拟合形状函数进行复合映射以获得实用翼型的参数化方法。以几类低速翼型为例,研究了该参数化方法的收敛性,可以看出,拟合翼型与原始翼型的型线逼近度高,气动特性吻合度高。初步分析了形状函数控制点分布对翼型几何特征的影响,实现了型线的局部控制。研究结果表明,该方法能实现已知翼型的参数化表达以及局部修型,可应用于翼型优化。

Reducing geometric design variables can improve the computational efficiency of aerodynamic optimization of airfoil. For design feasibility, a parameterization method is proposed, in which a B-spline fitted shape function is trans- formed into practical airfoil with composite mapping method. The convergence property of this parameterization method is analyzed via some low-speed airfoils. The fitted airfoil profiles are highly approximate to the original ones, and their aerodynamic characteristics show remarkable consistency. In addition, the influence of the shape function control points on the geometric characteristics of airfoil is analyzed, and local control of airfoil profile is achieved. Results indicate that this parametric method can represent known airfoils and modify local airfoil profiles, and can be applied to airfoil optimization.