基于B样条的机翼外形参数化方法研究

描述了基于B样条的机翼外形参数化方法在超临界翼型和机翼气动设计中的应用研究。在机翼外形参数化过程中，通过B样条曲线插值和拟合型值点生成机翼截面曲线和展向引导线，采用Coons Gordon方法通过自由放样和点阵插值获得B样条张量积曲面并进行叠加，进而获得插值于机翼表面曲线网的B样条曲面。还运用CFD工具对不同机翼放样面的气动性能进行了分析对比。通过研究，B样条控制点可作为设计变量传递给气动优化程序，采用B样条曲线或曲面表达式为各设计变量的线性组合，可以方便快捷获取几何梯度信息。

A Method of Shape Parameterization Based on B spline for Wing Design

The paper describes the application of B spline parameterization method on the supercritical airfoil and wing design. Wing section curves and span wise guide lines are generated by B spline curve fitting and interpolation. Two lofting surfaces and a points interpolation surface were overlaid by Coons Gordon method, and bidirectional curve network on wing surface is interpolated.The aerodynamic characteristics of different loft surfaces were compared with CFD analysis. The research results show B spline control points are passed to aerodynamic optimization process as design variables, and the B spline expression can be treated as a linear combination of the design variables, which provides an easy access to the geometry gradient information.