多重网格法求解原始变量形式的Navier-Stokes方程

Numerical solution of Navier-Stokes equations in original variable's form with multi-grid method

采用多重网格法 ,求解原始变量形式的Navier Stokes方程 .控制方程在交错网格上离散 ,并采用SIMPLE算法计算 .为加速收敛 ,结合使用适合非线性方程的全近似格式的多重网格法FAS .文章计算了雷诺数Re =10 0 ,10 0 0时不可压粘性流体绕圆柱的流动 .计算结果与实验结果和国外的计算结果基本吻合 。

In this paper,the FAS multigrid method is used to investigate the characteristics of the incompressible flow around a circular cylinder.The Navier-Stokes equations,expressed in terms of original-variables,are discretized in space on a staggered grid,and the SIMPLE algorithm is used to solve the problem.We have computed some typical flows around a circular cylinder,when the Reynolds number is 100 and 1000 respectively.The computation results are agreed with the experiment results.It shows the accuracy and efficiency of this method.