动静圆柱坐标系下N-S方程的分区算法及子域干涉处理研究

Partitioning algorithm for N-S equations in relative/absolute cylindrical-coordinate systems and investigation on treatment for rotor-stator interaction

耦合了相对和绝对圆柱坐标系下三维Navier-Stokes方程,统一了动子域和静子域的控制方程;在子域计算中,采用高分辨率的三阶ENN格式及LU-SGS隐式解法;在子域干涉处理中,研究并对比了动静子域干涉面的重合处理与重叠处理;最终发展了一种新的既高效又准确的分区算法。通过对某带进口导叶的三级跨声速轴流压气机叶栅内三维紊流流场的数值模拟,验证了该分区算法的有效性,计算结果与实验数据吻合较好。

A new partitioning algorithm for Navier-Stokes equations in relative/absolute cylindrical-coordinate systems is developed, which base on the combination of Navier-Stokes equations in rotor area and stator area. For the calculation of subareas, high resolution third-order ENN scheme and implicit LU-SGS method are applied. Central investigation is focused on the grid connecting methods between rotor area and stator area and corresponding treatment for rotor-stator interaction. The partitioning algorithm developed in this paper is demonstrated by numerical simulation of a three stages axial flow compressor with inlet guide vane, the computed result shows good accordance with experimental data.