交错网格下的有限控制容积多重网格计算

在有限控制容积法和速度 -压力修正的基础上 ,引入多重交错网格算法及非线性方程的全近似格式 ( FAS) .相邻各重网格之间的主变量及其相应控制容积上的残值分别通过双线性插值和求和的方法传输信息 .所有方程 ,包括压力修正方程 ,都以同等方式参与多重网格循环计算 .该方法使应用广泛的交错网格算法很容易扩展成多重网格算法 ,有效地提高了收敛速度 .以二维空穴驱动层流为例 ,测试表明收敛速度可以提高 4～ 2 5倍 .给出了空穴、旋转流动交错多重网格的数值计算结果及其 Particle Image Velocimetry( PIV)全场实验测量结果的对比 .数值计算很好地再现了旋转流动的旋涡特性

Finite Volume Multigrid Scheme Based on Staggered Grid

The implementation of a multigrid method in a two dimensional SIMPLE code based on finite volume scheme and staggered grid arrangement was presented. The variables in question are restricted and prolonged between different grid levels by bilinear interpolation, and the residuals are transferred by summation. All of the equations in question are treated in the same way, including the pressure correction equation. The 2D laminar flow inside lid driven cavity was used here to test the convergence rate of the developed code in comparison with that based on single grid arrangement. Its speed up factor of the convergence rate is as high as 4~25. The comparison of the numerical results and PIV whole field measurements for rotating flow inside confined cylindrical container was presented. The numerical simulation agrees well with the experimental results.