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

Yanzhao Cao; Max Gunzburger; Fei Hua; Xiaoming Wang

doi:10.1002/num.20579

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

Yanzhao Cao
, Max Gunzburger
, Fei Hua
, Xiaoming Wang

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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. © 2010 Wiley Periodicals, Inc.

Original language	American English
Journal	Numerical Methods for Partial Differential Equations
Volume	27
DOIs	https://doi.org/10.1002/num.20579
State	Published - Sep 1 2011

Keywords

Finite Element
Pipe Flow
Porous Media Flow

Disciplines

Mathematics
Statistics and Probability

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

abstract = " 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. {\textcopyright} 2010 Wiley Periodicals, Inc.",

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AU - Cao, Yanzhao

AU - Gunzburger, Max

AU - Hua, Fei

AU - Wang, Xiaoming

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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. © 2010 Wiley Periodicals, Inc.

AB - 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. © 2010 Wiley Periodicals, Inc.

KW - Finite Element

KW - Pipe Flow

KW - Porous Media Flow

UR - https://scholarsmine.mst.edu/math_stat_facwork/1223

U2 - 10.1002/num.20579

DO - 10.1002/num.20579

M3 - Article

SN - 1098-2426

VL - 27

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

ER -

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

Abstract

Keywords

Disciplines

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