基于曲面上光滑插值方法的飞机表面C_p值重建

RECONSTRUCTION OF C_P ON SURFACE OF AIRCRAFT BASED ON ALGORITHM OF SMOOTH INTERPOLATION RESTRICTE ON SURFACES

针对飞机表面压强系数 Cp 值的计算 ,讨论定义在三维空间 R3的二维流形 Σ上的散乱数据插值问题 ,利用映射与加权混合相结合的技术 ,给出了能与柱面 Σ0 同胚的任意物体表面 Σ上的散乱数据插值算法 ,通过此算法所得的插值函数能达到 C1连续。将此算法应用在飞机表面 Cp 值分布曲面的重建问题上 ,得到了很好的效果。

In order to solve the problem of calculation of C p  surface on surface of aircraft, the authors discussed the problem of interpolating scattered data located on a 2 manifold in 3 D space. An algorithm for interpolating scattered data located on an arbitrary surface Σ which is topologically equivalent to a cylinder Σ 0 is given, which reconstructs a C 1 function on the surface Σ by using mapping and blending technique. With the application of the algorithm into the reconstruction of C p  surface on surface of aircraft on the condition of fixed angle of attack and Mach number, good results have been gotten.