解地下水流的Monte-Carlo随机法与积分插值法

计算物理 ›› 1997, Vol. 14 ›› Issue (S1): 597-599.

解地下水流的Monte-Carlo随机法与积分插值法

崔秀, 吴飞

中国地质大学, 北京 100083

收稿日期:1997-02-28 修回日期:1997-05-09 出版日期:1997-12-25 发布日期:1997-12-25

MONTE-CARLO STOCHASTIC METHOD AND INTEGRAL INTERPO-LATION METHOD FOR SOLVING GROUNDWATER FLOW PROBLEMS

Cui Xiu, Wu Fei

Geological University of China, Beijing 100083

Received:1997-02-28 Revised:1997-05-09 Online:1997-12-25 Published:1997-12-25

摘要/Abstract

摘要： 分别采用积分插值法与Monte-Carlo随机法对地下水流问题进行了理论研究,提出了Monte-Carlo随机差分法。对这两种方法的计算格式及边值条件在格式中的处理进行了推导、分析及论述;并且选取了一个具有解析解的二维承压稳定地下水流数学模型作为例子,进行了数值计算。

关键词: 积分插值法, Monte-Carlo随机法

Abstract: The integral interpolation method and Monte-Carlo stochastic method are adopted to study groundwater flow problems theoretically, and the Monte-Carlo Stochastic Difference Method (M.C.S.D.M.) is also developed.The calculating patterns and treatments of boundary conditions for the two kinds of methods are deduced and analyzed; For a two-dimension confined stable groundwater flow mathematical model.We compared its analytical solutions with the results of M.C.S.D.M.They concide very well.

Key words: Integral interpolation method, Monte-Carlo stochastic method

中图分类号:

崔秀, 吴飞. 解地下水流的Monte-Carlo随机法与积分插值法[J]. 计算物理, 1997, 14(S1): 597-599.

Cui Xiu, Wu Fei. MONTE-CARLO STOCHASTIC METHOD AND INTEGRAL INTERPO-LATION METHOD FOR SOLVING GROUNDWATER FLOW PROBLEMS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(S1): 597-599.

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