[1]王 芳,杨虎山.复杂边界非饱和模型有限元数值模拟[J].温州大学学报(自然科学版),2013,(01):031-35.
 WANG Fang,YANG Hushan.A Finite Element Numerical Simulation for Unsaturated Richards Model with Complex Boundary[J].Journal of Wenzhou University,2013,(01):031-35.
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复杂边界非饱和模型有限元数值模拟
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《温州大学学报》(自然科学版)[ISSN:1674-3563/CN:33-1344/N]

卷:
期数:
2013年01期
页码:
031-35
栏目:
数学研究
出版日期:
2013-02-25

文章信息/Info

Title:
A Finite Element Numerical Simulation for Unsaturated Richards Model with Complex Boundary
作者:
王 芳杨虎山
忻州师范学院数学系,山西忻州 034000
Author(s):
WANG Fang YANG Hushan
Department of Mathematics, Xinzhou Teacher’s College, Xinzhou, China 034000
关键词:
土壤水分运动有限元数值模拟
Keywords:
Soil Water Movement Finite Element Numerical Simulation
分类号:
O241.82
文献标志码:
A
摘要:
利用有限元集中质量法对一维复杂边界土壤水分运动数学模型(非饱和Richards模型)进行了数值模拟,并进行了模型验证.模型验证结果表明,该方法计算精度很高,符合实际工作要求.
Abstract:
Through the method of the lumped mass of the finite element, the paper implements the numerical simulation and the model validation toward the mathematical model of the complex one-dimensional boundary soil water movement (unsaturated Richards model), the results of the model validation show that this method possesses a very high accuracy of calculation which is in line with the requirements of the practical work.

参考文献/References:

[1] Haverkamp R, Vauclin M, Touma J, et al. A comparsion of numerical simulation models for one-dimensional infiltration [J]. Soil Science Society of America Journal, 1977, 41: 285-294.
[2] Ciarlet P C. The finite element methods for elliptic problems [M]. Amsterdam: NorthHolland, 1978: 1-50.
[3] Vachaud G, Thony J L. Hyteresis during infiltration and redistribution in a soil column at different initial water contents [J]. Water Resources Research, 1971, 7: 111-127.
[4] 雷志栋, 杨诗秀, 谢森传. 土壤水动力学[M]. 北京: 清华大学出版社, 1988: 270-319.
[5] Adams R A. Sobolev spaces [M]. New York: Academic Press, 1975: 26-27.
[6] O. C. Zienkiewicz. 有限元法[M]. 尹泽勇, 柴家振, 译. 科学出版社, 1985: 445-473.
[7] 王芳, 孙西欢, 马娟娟, 等. 不同水头作用下土壤垂直入渗特性试验研究[J]. 山西水利, 2005(1): 75-76.
[8] Van Genuchten M Th, Leij F J. Indirect Methods for Estimating the Hydraulic Properties of Unsaturated Soils [M]. California: University of California Press, 1992: 1-14

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备注/Memo

备注/Memo:
收稿日期:2012-03-06
作者简介:王芳(1978- ),女,河南焦作人,讲师,硕士,研究方向:偏微分方程数值模拟,运筹学
更新日期/Last Update: 2013-02-25