求解N-S方程SIMPLE算法的半交错网格研究

SIMPLE Algorithm for Solution of Navier-Stokes Equations on a Semi-Staggered Grid

运用半交错网格设置对不可压缩流动的 Navier- Stokes方程进行数值离散求解 ,文中对不合理压力场产生的原因及抑制方法进行了探讨 ,导出了压力控制体界面上速度的修正表达式。作为算例 ,本文采用区域湍流模化方法 ,在核心区采用标准 k-ε模型 ,在近壁区采用单方程低雷诺数模型 ,对封闭转 -静盘腔、具有径向出流的转 -静盘腔和非规则环形通道内的流动进行了数值模拟 ,并与实验数据进行了对比分析 。

An algorithm for solution of Navier-Stokes equations on a semi-staggered grid is researched. The causes of unreasonable pressure field s and the restraints are discussed and the velocity modification on the faces of the pressure control volume is derived. Three cases, i.e. enclosed rotor-stato r cavity, rotor-sta tor cavity with radial outflow and annual passage with irregular boundaries are investigated to examine the algorithm. The turbulent flow is treated by the zona l modeling approach with standard k-ε model for the fully turbulent core r egio n and one-equation low-Reynolds number model for the viscosity dominated near -wall regions. Results indicate that the algorithm is reasonable.