利用径向基函数重建飞机表面的Cp值曲面

Reconstructing the Surface of Cp Value Defined on the Surface of Aircraft by Using Radial Basis Functions

利用风洞实验获得的复杂飞机表面上部分散乱点的Cp值,重建出整张曲面上的Cp值是气动力学分析中的一个难题.该文提出一种新的重建Cp值曲面方法,先将形状复杂的飞机表面转化为与其拓扑等价的规则曲面,再利用径向基函数对这些散乱点的值进行光滑插值加密计算重建出全局值.通过大量标准函数测试以及实际应用证明,该方法简单、准确、有效.

It is a difficult problem in the field of aerodynamics to reconstruct the global Cp values on the whole surface using some scattered Cp values located on the surface of an aircraft given by wind tunnel test. In this article, a new algorithm is presented. The algorithm is finding a regular surface that is topologically equivalent to the irregular aircraft surface followed by interpolating smoothly those scattered data by using radial basis functions. Then, the global Cp values are evaluated. The results of many test functions and applications to the aircraft proved that the method is simple and effective.