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基于区域分解法的地下水有限元与边界元耦合模型—淄博市王旺庄水源地地下水数值模拟
引用本文:王浩然,赵金熙,等.基于区域分解法的地下水有限元与边界元耦合模型—淄博市王旺庄水源地地下水数值模拟[J].地质论评,2003,49(1):48-52.
作者姓名:王浩然  赵金熙
作者单位:1. 南京大学地球科学系,210093
2. 南京大学计算机科学系,210093
基金项目:江苏省自然科学基金(编号BK99022)
摘    要:区域分解法(DDM)是20世纪90年代兴起的一种求解偏微分方程的新方法,方法本身独到的耦合思想和高效的并行计算机理,对于求解复杂的、大型的地下水问题具有相当的优势和广阔的应用前景。本文以淄博市王旺庄水源地地下水流模型为例,应用重叠型区域分解法(DDM)构造了边界单元法(BEM)与有限单元法(FEM)耦合模型,在两种数值方法各自优点的基础上,更形象地再现了实际水文地质原型,有效地消除了人为边界造成的流场失真。

关 键 词:淄博市  地下水模拟  区域分解法  边界单元法  有限单元法  耦合模型  DDM

A Groundwater Flow Domain Decomposition Model Coupling the Boundary and Finite Element Methods--A Groundwater Numerical Simulation of the Wangwangzhuang Water Source Area of Zibo City
WANG Haoran,ZHU Guorong,ZHAO Jinxi.A Groundwater Flow Domain Decomposition Model Coupling the Boundary and Finite Element Methods--A Groundwater Numerical Simulation of the Wangwangzhuang Water Source Area of Zibo City[J].Geological Review,2003,49(1):48-52.
Authors:WANG Haoran  ZHU Guorong  ZHAO Jinxi
Institution:WANG Haoran,ZHU Guorong,ZHAO JinxiDepartment of Earth Sciences,Nanjing University,Nanjing,Department of Computer Sciences & Technology,Nanjing University,Nanjing
Abstract:The domain decomposition method (DDM) is a new method that sprung up in the 1990s for solving the partial differential equation. It has its advantages and wide application perspectives for solving complicated and large-scale groundwater problems in view of the unique combined method and high-effective parallel computing theory in itself. A groundwater flow model of the Wangwangzhuang water source area of Zibo City is presented in this paper. In this model, a coupling of the boundary element method (BEM) and the finite element method (FEM) is made through the overlapping iterative domain decomposition method (DDM), which makes use of their advantages and shows an excellent agreement between the groundwater simulation and the real hydrogeo-logical conditions, and effectively eliminates the distortion of the groundwater flow field caused by the artificial boundary.
Keywords:groundwater simulation  domain decomposition method  boundary element method  finite element method  coupling model
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