一类超曲面构造变量分离法及其应用

Separating-variable Methods for the Construction of a Class of Hyper-Surface and Their Applications

以实际工程应用为背景 ,将具有某种物理意义的量 (如时间等 )与空间位置变量分而治之 ,提出一类超曲面构造变量分离的各种算法 ,对它们进行算法分析比较 ,探讨分离次序可变换性条件和变量分离法构造的超曲面的连续性 。

Based upon practical engineering applications, the separating variable methods for the construction of a class of hyper surface are presented by separating positional variables on surface from certain physical variables such as time and so on, followed by their comparison. When compared with existing interpolation algorithms, the new ones are more effective, and are especially suitable for realistic displaying the hyper surface in H D space in real time. A sufficient condition to exchangeable order of separation is obtained and order of continuity on the hyper surfaces above is discussed. The algorithms have been applied to solve the practical engineering problem of reconstructing pressure coefficient surface on surface of aircraft at arbitrary angle of attack and mach number.