非正交曲线坐标下三维粘性流动数值分析

NUMERICAL ANALYSIS OF 3D VISCOUS FLOW USING NONORTHOGONAL CURVILINEAR COORDINATES

本文基于非正交曲线坐标与相应的非正交速度分量下导得的守恒型N—S方程，讨论了求解三维粘性流动的数值方法，计算中显式时间推进算法与Baldwin—Lomax湍流模型被采用，应用本工作发展的程序，作为算例计算了一个沿径向非等截面环形叶栅的三维粘性流场，得到了诸如三维压力分布，总压损失分布以及十分清晰的二次流动图景等丰富的流场信息。

Based on the Navier-Stokes equations in conservative form derived with respect to nonorthogonal curvilinear coordinates and nonorthogonal velocity components, the numerical method for solving 3D viscous flow has been discussed. The explicit time-marching algorithm and Baldwin-Lomax tubulence model are adopted in calculations. Using the code developed in this paper, the 3D viscous flow field of an annular cascade was computed, the details of 3D pressure distributions, total pressure losses and secondary flows were predicted.