均质承压含水层稳定渗流的基本解法  

The method of fundamental solutions for steady groundwater flow

作　　者：王福章[1] 林继[2] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000 [2]河海大学工程力学系,江苏南京210098

出　　处：《山东理工大学学报（自然科学版）》2014年第2期5-7,13,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：科技部国家重点基础研究发展计划(973)资助项目(2010CB832702);水利部公益性行业专项经费项目(201101014)

摘　　要：基本解法是一种新型的无网格法,仅需边界配点信息即可对待求问题进行数值模拟,具有理论简单、编程容易和精度高等优点.利用地下水稳定渗流问题的数学模型,以基本解法对均质承压含水层的稳定渗流进行了探讨.与解析解和其它数值方法计算结果进行了对比研究,数值结果表明基本解法数值模拟稳定渗流问题具有令人满意的结果.The method location points are nee pie, easy to program, tal solutions is applied are compared It is shown th ter flow probl of fundamental solutions is a kind of meshless method. Only boundary col ded during the whole solution process. It has merits of mathematical sim solution accuracy, and so on. In this paper, the method of fundamen imulate the 2D steady groundwater flow problems. NUmerical results with the MQ and the mixed finite element method as well as the analytical solution. at the method of fundamental solutions is superior in dealing with steady groundwa ems.

关 键 词：基本解 地下水 无网格法 径向基函数 

分 类 号：P641.2[天文地球—地质矿产勘探]