贴体曲线坐标系中恢复函数的一种构造方法及应用

Third Order Accurate Reconstruction with Upwind Compact Difference in Curvilinear Coordinate and Its Application

本文在结构网格下，从三点迎风紧致逼近出发提出了一种适合于有限体积离散的恢复函数生成办法，在光滑区它具有三阶精度，并且在捕捉激波时有较高的激波分辨率。典型的几个内流算例表明：用该方法得到的恢复函数去计算数值通量时能得到与实验数据较接近的数值解。

A new reconstruction method based on the difference of a primitive function derivation is developed on structure meshes.Such a scheme is based on a finite volume discretization.It achieves the 3 order spatial accuracy with an upwind compact difference.High order Runge Kutta methods are employed for time integration,thus make such schemes best suited for unsteady problems. Numerical experiments of transonic channel flows and the shock propagation through a nozzle are carried out to validate the methodology.It illustrates the capability of the method to resolve a complicated shock structure without oscillatory behavior.