交替方向的三维有限分析方法

本文在二维有限分析方法的基础上利用交替方向的原理,构造了三维有限分析方法的27点计算格式,该格式除了满足原有限分析方法的优点外,还具有节约内存及运算时间的特点。文中应用该方法计算了三维方腔流动及浮运沉井施工期的三维流场,计算结果与实验及实测结果符合较好。

Three Dimensional Alternating-Direction Finite Analytic Method

In the paper, on the basis of the principle of Alternating-Direction Implicit Method, a new scheme of the three dimensional Finite Analytic Method is derived utilizing the superposition of the local analytic solutions of linearized two dimensional convection diffusion equation. The scheme is computationally efficient and accurate simulates both convection and diffusion due to the analytic nature of the solution which provides an automatic, smooth, gradual upwmding of the three dimensional convective effect. The finite analytic solutions are then obtained for the lid driven cavity flow and the float open caisson flow, the results are compared with previous computational results and available experiments. Good agreements are obtained.