EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 43 5 (2009) 973-1001 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Splitting-based domain decomposition methods for two-phase flow with different rock types

Elyes Ahmed
Advances in Water Resources 134 103431 (2019)
DOI: 10.1016/j.advwatres.2019.103431
See this article

A family of steady two-phase generalized Forchheimer flows and their linear stability analysis

Luan T. Hoang, Akif Ibragimov and Thinh T. Kieu
Journal of Mathematical Physics 55 (12) 123101 (2014)
DOI: 10.1063/1.4903002
See this article

Trust-region based solver for nonlinear transport in heterogeneous porous media

Xiaochen Wang and Hamdi A. Tchelepi
Journal of Computational Physics 253 114 (2013)
DOI: 10.1016/j.jcp.2013.06.041
See this article

Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium

B. Andreianov, K. Brenner and C. Cancès
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 94 (7-8) 655 (2014)
DOI: 10.1002/zamm.201200218
See this article

Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forces

Boxiao Li and Hamdi A. Tchelepi
Journal of Computational Physics 297 104 (2015)
DOI: 10.1016/j.jcp.2015.04.057
See this article

Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure

Clément Cancès and Cindy Guichard
Foundations of Computational Mathematics (2016)
DOI: 10.1007/s10208-016-9328-6
See this article

Numerical simulations of water–gas flow in heterogeneous porous media with discontinuous capillary pressures by the concept of global pressure

Brahim Amaziane, Mladen Jurak and Ana Žgaljić Keko
Journal of Computational and Applied Mathematics 236 (17) 4227 (2012)
DOI: 10.1016/j.cam.2012.05.013
See this article

Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation

R. Eymard, C. Guichard, R. Herbin and R. Masson
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 94 (7-8) 560 (2014)
DOI: 10.1002/zamm.201200206
See this article

A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure

Peter Bastian
Computational Geosciences 18 (5) 779 (2014)
DOI: 10.1007/s10596-014-9426-y
See this article

Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. I. Convergence to the Optimal Entropy Solution

Clément Cancès
SIAM Journal on Mathematical Analysis 42 (2) 946 (2010)
DOI: 10.1137/090747981
See this article

Velocity Projection with Upwind Scheme Based on the Discontinuous Galerkin Methods for the Two Phase Flow Problem

Jiangyong Hou, Wenjing Yan and Jie Chen
International Journal of Modern Nonlinear Theory and Application 04 (02) 127 (2015)
DOI: 10.4236/ijmnta.2015.42009
See this article

Analysis and Upscaling of a Reactive Transport Model in Fractured Porous Media with Nonlinear Transmission Condition

Iuliu Sorin Pop, Jeroen Bogers and Kundan Kumar
Vietnam Journal of Mathematics 45 (1-2) 77 (2017)
DOI: 10.1007/s10013-016-0198-7
See this article

Results of the MoMaS benchmark for gas phase appearance and disappearance using generalized MHFE

E. Marchand and P. Knabner
Advances in Water Resources 73 74 (2014)
DOI: 10.1016/j.advwatres.2014.07.005
See this article

Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium

Boris Andreianov and Clément Cancès
Computational Geosciences 17 (3) 551 (2013)
DOI: 10.1007/s10596-012-9329-8
See this article

A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media

Boris Andreianov and Clément Cancès
Computational Geosciences 18 (2) 211 (2014)
DOI: 10.1007/s10596-014-9403-5
See this article

Influence of small-scale heterogeneity on upward CO2 plume migration in storage aquifers

Boxiao Li and Sally M. Benson
Advances in Water Resources 83 389 (2015)
DOI: 10.1016/j.advwatres.2015.07.010
See this article

Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers

I. Mozolevski and L. Schuh
Journal of Computational and Applied Mathematics 242 12 (2013)
DOI: 10.1016/j.cam.2012.09.045
See this article

On interface transmission conditions for conservation laws with discontinuous flux of general shape

Boris Andreianov and Clément Cancès
Journal of Hyperbolic Differential Equations 12 (02) 343 (2015)
DOI: 10.1142/S0219891615500101
See this article

Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. II. Nonclassical Shocks to Model Oil-Trapping

Clément Cancès
SIAM Journal on Mathematical Analysis 42 (2) 972 (2010)
DOI: 10.1137/090747993
See this article

A computational model for fluid leakage in heterogeneous layered porous media

Mehdi Musivand Arzanfudi, Rafid Al-Khoury and Lambertus J. Sluys
Advances in Water Resources 73 214 (2014)
DOI: 10.1016/j.advwatres.2014.08.016
See this article

Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

Konstantin Brenner, Clément Cancès and Danielle Hilhorst
Computational Geosciences 17 (3) 573 (2013)
DOI: 10.1007/s10596-013-9345-3
See this article

Unconditionally Convergent Nonlinear Solver for Multiphase Flow in Porous Media under Viscous Force, Buoyancy, and Capillarity

Boxiao Li and Hamdi A. Tchelepi
Energy Procedia 59 404 (2014)
DOI: 10.1016/j.egypro.2014.10.395
See this article

An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field

Clément Cancès and Michel Pierre
SIAM Journal on Mathematical Analysis 44 (2) 966 (2012)
DOI: 10.1137/11082943X
See this article

Numerical simulation of gas migration through engineered and geological barriers for a deep repository for radioactive waste

Brahim Amaziane, Mustapha El Ossmani and Mladen Jurak
Computing and Visualization in Science 15 (1) 3 (2012)
DOI: 10.1007/s00791-013-0196-1
See this article

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

K. Brenner, M. Groza, C. Guichard and R. Masson
ESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 303 (2015)
DOI: 10.1051/m2an/2014034
See this article

Yawei Xie and Michael G. Edwards
(2019)
DOI: 10.2118/193886-MS
See this article

A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity

Raheel Ahmed, Yawei Xie and Michael G. Edwards
Transport in Porous Media 127 (1) 35 (2019)
DOI: 10.1007/s11242-018-1179-y
See this article

K. Brenner, C. Cancès and D. Hilhorst
4 185 (2011)
DOI: 10.1007/978-3-642-20671-9_20
See this article

Space–time domain decomposition for two-phase flow between different rock types

Elyes Ahmed, Caroline Japhet and Michel Kern
Computer Methods in Applied Mechanics and Engineering 371 113294 (2020)
DOI: 10.1016/j.cma.2020.113294
See this article

Simulation of two-phase flow in porous media with sharp material discontinuities

L.K. Tran, J.C. Kim and S.K. Matthäi
Advances in Water Resources 142 103636 (2020)
DOI: 10.1016/j.advwatres.2020.103636
See this article

Implicit Hybrid Upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity

François P. Hamon, Bradley T. Mallison and Hamdi A. Tchelepi
Computer Methods in Applied Mechanics and Engineering 331 701 (2018)
DOI: 10.1016/j.cma.2017.10.008
See this article

Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

Sylvain Pasquier, Michel Quintard and Yohan Davit
Physical Review Fluids 2 (10) (2017)
DOI: 10.1103/PhysRevFluids.2.104101
See this article

A discrete fracture model for two-phase flow involving the capillary pressure discontinuities in fractured porous media

Xiao-Hong Wang, Lu Li, Min Wang, Zhi-Feng Liu and An-Feng Shi
Advances in Water Resources 142 103607 (2020)
DOI: 10.1016/j.advwatres.2020.103607
See this article

Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces

S. H. Lee and Y. Efendiev
Computational Geosciences 22 (5) 1403 (2018)
DOI: 10.1007/s10596-018-9760-6
See this article

Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures

A. Ern, I. Mozolevski and L. Schuh
Computer Methods in Applied Mechanics and Engineering 199 (23-24) 1491 (2010)
DOI: 10.1016/j.cma.2009.12.014
See this article

Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions

Ammar H. Alali, François P. Hamon, Bradley T. Mallison and Hamdi A. Tchelepi
Computational Geosciences 25 (1) 17 (2021)
DOI: 10.1007/s10596-020-09982-1
See this article

Vertex Approximate Gradient discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media

K. Brenner, R. Masson and E.H. Quenjel
Journal of Computational Physics 409 109357 (2020)
DOI: 10.1016/j.jcp.2020.109357
See this article