A Dirac-δ function notation for source/sink terms in groundwater flow

被引：8

作者：

Gunduz, O

Aral, MM ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Civil & Environm Engn, Multimedia Environm Simulat Lab, Atlanta, GA 30332 USA

[2] Dokuz Eylul Univ, Dept Environm Engn, TR-35160 Izmir, Turkey

来源：

JOURNAL OF HYDROLOGIC ENGINEERING | 2005年 / 10卷 / 05期

关键词：

Finite element method; Ground-water flow; Mathematical models; Water treatment;

D O I：

10.1061/(ASCE)1084-0699(2005)10:5(420)

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The source/sink terms in groundwater flow are singularities that require special treatment in the numerical solution of a mathematical model. Except for the case of a point source, these singularities are not consistently defined in the governing partial differential equation or treated rigorously in the numerical solution of the governing equations. In this paper, we propose a consistent notation for handling the source/sink terms within the governing equation using the familiar Dirac-delta function notation for three-dimensional applications. We also present the domain integrals of these terms, similar to the ones that occur frequently in finite element solution of the mathematical model.

引用

页码：420 / 427

页数：8