Analysis and Finite Element Approximation of a Coupled, Continuum Pipe-Flow/Darcy Model for Flow in Porous Media with Embedded Conduits

被引：21

作者：

Cao, Yanzhao ^{[3
]}

Gunzburger, Max ^{[2
]}

Hua, Fei ^{[1
]}

Wang, Xiaoming ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

[2] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA

[3] Auburn Univ, Dept Math & Stat, Auburn, AL 36830 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 05期

基金：

美国国家科学基金会;

关键词：

finite element; pipe flow; porous media flow; STOKES-DARCY MODEL; FLUID-FLOW;

D O I：

10.1002/num.20579

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the continuum Darcy/pipe flow model for flows in a porous matrix containing embedded conduits; such coupled flows are present in, e.g., karst aquifers. The mathematical well-posedness of the coupled problem as well as convergence rates of finite element approximation are established in the two-dimensional case. Computational results are also provided. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1242-1252, 2011

引用

页码：1242 / 1252

页数：11

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