改进特征有限元法求解高度非线性的海水入侵问题  

IMPROVED CHARACTERISTIC FINITE ELEMENT METHOD IN SOLVING HIGHLY NONLINEAR SEA WATER INTRUSION PROBLEM

作　　者：吴吉春[1] 薛禹群[1] 谢春红[1] 张志辉[1] 

机构地区：[1]南京大学地球科学系,数学系,南京210093

出　　处：《计算物理》1996年第2期201-206,共6页Chinese Journal of Computational Physics

基　　金：本文工作得到国家自然科学基金资助

摘　　要：提出用改进特征有限元法来求解高度非线性的海水入侵问题,以克服在求解这一问题时碰到的数值弥散和振荡困难。所求解的三维海水入侵数学模型以交换阳离子 Na^+、Ca^(2+)作为模拟因子,考虑了水—岩间的阳离子交换作用。将模型计算结果与观测结果进行了对比验证。In order to surmount the difficulty of numerical dispersion and numerical oscillation an im- proved characteristic finite element method is presented to solve the highly nonlinear sea water intrusion problem.The solved three-dimensional mathematical model,which regards exchanging cations Na^+ and Ca^(2+)as simulation factor,takes account of cation exchange reaction between water and rock.The simulat- ed results are satisfactory by comparison with the field data,and show that this model can be applied to predict the movement and evolution of exchanging cations during sea water intrusion.

关 键 词：改进特征 有限元 海水入侵 阳离子交换 水动力学 

分 类 号：TV131.2[水利工程—水力学及河流动力学]