交替方向法在地下水渗流计算中的应用

计算物理 ›› 1985, Vol. 2 ›› Issue (1): 109-115.

交替方向法在地下水渗流计算中的应用

雷光耀¹, 张锁春¹, 高骥²

1. 中国科学院应用数学研究所;
2. 黄河水利委员会水利科学研究所

收稿日期:1984-08-28 出版日期:1985-03-25 发布日期:1985-03-25

ON THE APPLICATION OF ALTERNATING DIRECTION METHODS TO COMPUTATIONS OF WATER TABLE FLOW

Lei Guang-yao¹, Zhang Suo-chun¹, Gao Ji²

1. Institute of Applied Mathematics, Academia Sinica;
2. Institute of Hydraulic Science, Committee of Hydraulic engineering of yellow River

Received:1984-08-28 Online:1985-03-25 Published:1985-03-25

摘要/Abstract

摘要： 本文应用交替方向显式法、交替方向隐式法和隐式交替方向迭代法进行了地下水饱和-不饱和渗流的数值计算和比较,研究了计算中出现的迭代不收敛和结果失真等问题。在采用特定形式的附加项的基础上,给出了全隐式交替方向迭代格式,并对不同尺度的计算模型得到了良好的计算结果。文中对附加项的形式和有关参数的选取作了分析比较,给出了较为理想的结果。

Abstract: For saturated-unsaturated water table flow, computations of ADEP, ADIP and implicitly alternating direction iterative procedure are made and compared.The i-terations are not convergent and computational results are strongly distortional Based on supplementing a particular term, a kind of completely implicit and altern-ting direction iterative procedure is given The relative results for computational model of different scales are satisfactory. Problems of how to give the particular supplemental term and how to select better parameters are discussed, the computational results are given.

雷光耀, 张锁春, 高骥. 交替方向法在地下水渗流计算中的应用[J]. 计算物理, 1985, 2(1): 109-115.

Lei Guang-yao, Zhang Suo-chun, Gao Ji. ON THE APPLICATION OF ALTERNATING DIRECTION METHODS TO COMPUTATIONS OF WATER TABLE FLOW[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 2(1): 109-115.