FINITE ELEMENT APPROXIMATIONS FOR STOKES-DARCY FLOW WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

被引：180

作者：

Cao, Yanzhao ^{[1
]}

Gunzburger, Max ^{[2
]}

Hu, Xiaolong ^{[3
]}

Hua, Fei ^{[2
,4
]}

Wang, Xiaoming ^{[4
]}

Zhao, Weidong ^{[5
]}

机构：

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

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

[3] Florida State Univ, Dept Geol, Tallahassee, FL 32306 USA

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

[5] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2010年 / 47卷 / 06期

基金：

美国国家科学基金会;

关键词：

Stokes and Darcy equations; finite element approximation; error bound; initial-boundary value problem; fluid and porous media flow; Beavers-Joseph interface boundary condition; COUPLING FLUID-FLOW; POROUS-MEDIA FLOW; BOUNDARY-CONDITION; MODEL;

D O I：

10.1137/080731542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical solutions using finite element methods are considered for transient flow in a porous medium coupled to free flow in embedded conduits. Such situations arise, for example, for groundwater flows in karst aquifers. The coupled flow is modeled by the Darcy equation in a porous medium and the Stokes equations in the conduit domain. On the interface between the matrix and conduit, Beavers-Joseph interface conditions, instead of the simplified Beavers-Joseph-Saffman conditions, are imposed. Convergence and error estimates for finite element approximations are obtained. Numerical experiments illustrate the validity of the theoretical results.

引用

页码：4239 / 4256

页数：18

共 15 条

[1] BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].