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Title: A Darcy–Brinkman model of fractures in porous media

Authors:
ORCiD logo;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1813474
Alternate Identifier(s):
OSTI ID: 1459054
Grant/Contract Number:  
27798; 98089
Resource Type:
Published Article
Journal Name:
Journal of Mathematical Analysis and Applications
Additional Journal Information:
Journal Name: Journal of Mathematical Analysis and Applications Journal Volume: 452 Journal Issue: 2; Journal ID: ISSN 0022-247X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

Citation Formats

Morales, Fernando A., and Showalter, Ralph E. A Darcy–Brinkman model of fractures in porous media. United States: N. p., 2017. Web. doi:10.1016/j.jmaa.2017.03.063.
Morales, Fernando A., & Showalter, Ralph E. A Darcy–Brinkman model of fractures in porous media. United States. https://doi.org/10.1016/j.jmaa.2017.03.063
Morales, Fernando A., and Showalter, Ralph E. Tue . "A Darcy–Brinkman model of fractures in porous media". United States. https://doi.org/10.1016/j.jmaa.2017.03.063.
@article{osti_1813474,
title = {A Darcy–Brinkman model of fractures in porous media},
author = {Morales, Fernando A. and Showalter, Ralph E.},
abstractNote = {},
doi = {10.1016/j.jmaa.2017.03.063},
journal = {Journal of Mathematical Analysis and Applications},
number = 2,
volume = 452,
place = {United States},
year = {Tue Aug 01 00:00:00 EDT 2017},
month = {Tue Aug 01 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.jmaa.2017.03.063

Citation Metrics:
Cited by: 15 works
Citation information provided by
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Works referenced in this record:

A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
journal, February 2008

  • Gatica, G. N.; Meddahi, S.; Oyarzua, R.
  • IMA Journal of Numerical Analysis, Vol. 29, Issue 1
  • DOI: 10.1093/imanum/drm049

Interface approximation of Darcy flow in a narrow channel
journal, January 2012

  • Morales, Fernando; Showalter, Ralph E.
  • Mathematical Methods in the Applied Sciences, Vol. 35, Issue 2
  • DOI: 10.1002/mma.1555

A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
journal, January 2011

  • Chen, Wenbin; Gunzburger, Max; Hua, Fei
  • SIAM Journal on Numerical Analysis, Vol. 49, Issue 3
  • DOI: 10.1137/080740556

The narrow fracture approximation by channeled flow
journal, May 2010

  • Morales, Fernando; Showalter, R. E.
  • Journal of Mathematical Analysis and Applications, Vol. 365, Issue 1
  • DOI: 10.1016/j.jmaa.2009.10.042

Two asymptotic models for arrays of underground waste containers
journal, October 2009


Homogenization of a Darcy–Stokes system modeling vuggy porous media
journal, July 2006


The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation
journal, March 1983


A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
journal, December 1949

  • Brinkman, H. C.
  • Flow, Turbulence and Combustion, Vol. 1, Issue 1
  • DOI: 10.1007/BF02120313

Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
journal, January 2010

  • Cao, Yanzhao; Gunzburger, Max; Hua, Fei
  • Communications in Mathematical Sciences, Vol. 8, Issue 1
  • DOI: 10.4310/CMS.2010.v8.n1.a2

Coupling Fluid Flow with Porous Media Flow
journal, January 2002

  • Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan
  • SIAM Journal on Numerical Analysis, Vol. 40, Issue 6
  • DOI: 10.1137/S0036142901392766

Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
journal, January 2016

  • Hoang, Thi-Thao-Phuong; Japhet, Caroline; Kern, Michel
  • SIAM Journal on Numerical Analysis, Vol. 54, Issue 1
  • DOI: 10.1137/15M1009651

On the permeability of media consisting of closely packed porous particles
journal, December 1949

  • Brinkman, H. C.
  • Flow, Turbulence and Combustion, Vol. 1, Issue 1
  • DOI: 10.1007/BF02120318

A New Finite Element Method for Darcy-Stokes-Brinkman Equations
journal, November 2013


Nonlinear Degenerate Evolution Equations in Mixed Formulation
journal, January 2010

  • Showalter, R. E.
  • SIAM Journal on Mathematical Analysis, Vol. 42, Issue 5
  • DOI: 10.1137/100789427

Phénomènes de transmission à travers des couches minces de conductivitéélevée
journal, August 1974

  • Huy, Hung Pham; Sanchez-Palencia, Enrique
  • Journal of Mathematical Analysis and Applications, Vol. 47, Issue 2
  • DOI: 10.1016/0022-247X(74)90023-7

A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
journal, January 2010

  • Babuška, Ivo; Gatica, Gabriel N.
  • SIAM Journal on Numerical Analysis, Vol. 48, Issue 2
  • DOI: 10.1137/080727646

Fluid flow through an array of fixed particles
journal, January 1983


Asymptotic analysis of the differences between the Stokes–Darcy system with different interface conditions and the Stokes–Brinkman system
journal, August 2010

  • Chen, Nan; Gunzburger, Max; Wang, Xiaoming
  • Journal of Mathematical Analysis and Applications, Vol. 368, Issue 2
  • DOI: 10.1016/j.jmaa.2010.02.022

A multiscale Darcy–Brinkman model for fluid flow in fractured porous media
journal, October 2010

  • Lesinigo, Matteo; D’Angelo, Carlo; Quarteroni, Alfio
  • Numerische Mathematik, Vol. 117, Issue 4
  • DOI: 10.1007/s00211-010-0343-2

Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
journal, January 2005

  • Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E.
  • SIAM Journal on Scientific Computing, Vol. 26, Issue 5
  • DOI: 10.1137/S1064827503429363

Homogenization and Two-Scale Convergence
journal, November 1992

  • Allaire, Grégoire
  • SIAM Journal on Mathematical Analysis, Vol. 23, Issue 6
  • DOI: 10.1137/0523084

On Diffusion in a Fractured Medium
journal, May 1971

  • Cannon, J. R.; Meyer, G. H.
  • SIAM Journal on Applied Mathematics, Vol. 20, Issue 3
  • DOI: 10.1137/0120047

A computational method for approximating a Darcy–Stokes system governing a vuggy porous medium
journal, February 2007