原函数导数逼近数据重构的通量差分分裂方法

New reconstruction method of flux difference scheme based on primitive function derivative difference

针对模型方程提出一种基于原函数导数逼近的数据重构方法，结合导数的紧致逼近构造了相应的状态变量递推式，从而构造了高精度的通量差分有限面积差分格式，并将此格式推广应用于Ｅｕｌｅｒ方程。通过实例分析，证明这种方法对叶栅绕流等复杂流动现象的模拟是有效的。

A new reconstruction method based on the difference of primitive function derivation (PFDD) is developed to counter the model equation. Connected with the derivative compact approximation, the recurrence formula for the relevant variable of states and the high accurate finite different scheme have been formed. The PFDD reconstruction with compact approximation is presented and used in Eular equation. Results reveal that the new method is effective for complex phenomenal simulation such as cascade flows.