数值求解不可压Navier-Stokes方程的隐式算法

An Implicit Difference Method for Solving Incompressible Navier-Stokes Equations

本文提出了一个求解二维不可压Navier-Stokes方程的隐式算法。这种方法隐式联立地处理了控制方程,和一般的迭代算法相比它具有更好的稳定性和收敛性。二维Poissuill流动的数值解和分析解是非常一致的,S形流道内分离流的计算结果和实验结果相比也是令人满意的。

In this paper, an implicit difference method has been developed for solving the incompressible Navier-Stokes equations in two dimensions. Because the equations are solved as a coupled system, the stability and convergence of the method are better than common iterative methods. The prediction of the Poissuill flow is in good agreement with analytical results. The comparison between experimental results and numerical solutions of the flow through the curved channel is satisfactory.