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非饱和土壤水流问题的广义差分法及其数值模拟

李焕荣,罗振东,谢正辉,朱江,   

  1. 首都师范大学数学系,北京交通大学理学院,中国科学院大气物理所国际气候与环境科学研究中心,中国科学院大气物理所国际气候与环境科学研究中心 北京 100037,北京 100044 中国科学院大气物理所国际气候与环境科学研究中心,北京 100029,北京 100029,北京 100029
  • 出版日期:2006-03-14 发布日期:2006-03-14

李焕荣,罗振东,谢正辉,朱江,. 非饱和土壤水流问题的广义差分法及其数值模拟[J]. 计算数学, 2006, 28(3): 321-336.

GENERALIZED DIFFERENCE METHODS AND NUMERICAL SIMULATION FOR THE UNSATURATED SOIL WATER FLOW PROBLEMS

  1. Li Huanrong~1 Luo Zhendong~(2,3) Xie Zhenghui~3 Zhu Jiang~3 ~1(Department of Mathematics,Capital Normal University,Beijing 100037,China) ~2(School of Sciences,Beijing Jiaotong University,Beijing 100044,China) ~3(ICCES,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029, China)
  • Online:2006-03-14 Published:2006-03-14
本文利用广义差分法建立了一维非饱和水流问题的守恒形式的数值模型,讨论了半离散广义差分解和全离散广义差分解的存在唯一性,并给出了其误差估计.数值结果表明,该格式具有计算量小和稳定性等特点,且对求解非饱和水流问题有较好的适应性.
In this paper,the generalized difference methods(GDM)for one-dimensional unsaturated soil water flow problem is presented.The existence and uniqueness of its semi-discrete and fully discrete GDM solutions are proved,and the error estimates of the semi-discrete,fully discrete GDM solutions are analysed.And finally,some numerical examples are given.
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[1]叶笃正,曾庆存,郭裕福,当代气候研究,北京:气候出版社,1991.
[2]Y.J.Dai,Q.C.Zeng,A land surface model(IAP94)for climate studies,PartⅠ:formulation and validation in off-line experiments,Advances in Atmospheric Sciences,14(1997),433-460.
[3]谢正辉,曾庆存,戴永久等,非饱和流问题的数值模拟研究,中国科学(D辑),28(1998),175-180.
[4]谢正辉,曾庆存,戴永久等,有限元方法在非饱和土壤水流问题中的应用,气候与环境研究,28(1998),73-81.
[5]雷志栋,杨诗秀,谢森传,土壤水动力学,北京:清华大学出版社,1998.
[6]罗振东,谢正辉,朱江等,非饱和水流问题的混合元法及其数值模拟,计算数学,25:1(2003),113-128.
[7]M.A.Celia,E.T.Boulouton,R.L.Zarba,A general mass conservation numerical solution for the unsaturated flow eqution,Water Resour.Res.,26(1990),1483-1496.
[8]R.A.Adams,Sobolev Spaces,New York,Academic Press,1975.
[9]Q.Li and Z.Y.Liu,Finite volume element methods for nonlinear parabolic problems,J.KSIAM,6:2(2002),85-97.
[10]Huanrong Li and Qian Li,Finite volume element methods for nonlinear parabolic integrodifferential problems,J.KSIAM,7:2(2003),35-49.
[11]Q.Li,Generalized difference method,Lecture Notes of the Twelfth Mathematical Workshop,Taejon,Korea,1997.
[12]V.Girault,P.A.Raviart,Finite element methods for Navier-Stokes equation,Theorem and Algorithms,Springer-Verlag,1986.
[13]R.E.Dickinson,A.Henderson-Sellers,P.J.Kemmedy et al,Biosphere atmosphere transfer scheme(BATS)for NCAR community climate model,NCAR Technical Note,NCAR/TN 275+STR,1986.
[14]杨宏伟,谢正辉,陆面模式VIC中动态表示地下水位的新方法,自然科学进展,13:6(2003),615-620.
[15]张洪,李航,魏世强,处理土壤水垂直不饱和流问题的一种坐标变换方法,土壤学报,423(2005),360-366.
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