多连通域内Navier-Stokes方程的最小二乘有限元素法

THE LEAST SQUARE FINITE ELEMENT METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS IN MULTI-CONNECTED DOMAIN

本文就多连通域内的粘性流动问题,讨论了Navier-Stokes方程的线化方案及边界条件的处理,并应用最小二乘有限元素法来实行其数值求解.此外,通过对正定对称矩阵的近似求逆运算,进一步改善和加速了数值迭代过程.

In this paper about the problem of the viscous flow in a multi-Connect domain, a procedure of linearizing the Navier-Stokes equations and a treatment of its boundary conditions have been discussed, Especially, because of the use of the lease square finite element method and a new approximate method of matrix inversion, the iterative process is remarkably accelerated still further.