可渗透管网络非定常跨壁传输问题的解耦算法  

Uncoupling Method in Unsteady Transport Problems Across the Wall of the Network of Permeable Tubes

作　　者：郭仲三[1] 

机构地区：[1]中国科学院成都计算所自动推理实验室,四川成都610041

出　　处：《生物数学学报》2000年第3期323-327,共5页Journal of Biomathematics

基　　金：国家自然科学基金!(19472067);中国科学院数学特支费项目

摘　　要：提出了可渗透管网络非定常跨壁传输问题的解耦算法．这是一种有限元法与初值问题Ｃａｕｃｈｙ方法相结合的半解析算法．在一维管流的假设下，通过引入插值函数，得到用管外变量表示的管内变量的解析解，使最终导出的有限元方程组中只包含管外交量，从而减少了联立方程的数目，大大节省了计算时间．本方法特别适用于大型网络的数值计算．In this paper an uncoupling method is presented to solve the unsteady transport problems across the wall of the network of permeable tubes. It is a semi--analytical method combining finite element method and analytic. One dimensional tube flow is assumed, making use of the finite element Interpolation function we derived the analytical expressions for inner-tube variables in terms of outer--tube ones. The derived finite element equation only consists of the varables out of the tube, the time of calculation is therefore greatly reduced. Having it solved, the variables in the tube can easily be got by analytical expressions. This method is especially efficient in the computation of the large--scale network.

关 键 词：解耦算法 半解析方法 可渗透管 非定常跨壁传输 

分 类 号：Q66[生物学—生物物理学] Q－332