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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.12.014 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1491-1501 ◽

Author(s):

A. Ern ◽

I. Mozolevski ◽

L. Schuh

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Pressures

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Corrigendum to “Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures” [Comput. Methods Appl. Mech. Engrg. 199 (2010) 1491–1501]

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2012.05.011 ◽

2012 ◽

Vol 245-246 ◽

pp. 348-349 ◽

Author(s):

A. Ern ◽

I. Mozolevski ◽

L. Schuh

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Pressures

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A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5919 ◽

2018 ◽

Vol 116 (3) ◽

pp. 161-177 ◽

Author(s):

Maurice S. Fabien ◽

Matthew G. Knepley ◽

Béatrice M. Rivière

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Two-phase ﬂows involving capillary barriers in heterogeneous porous media

Interfaces and Free Boundaries ◽

10.4171/ifb/210 ◽

2009 ◽

pp. 239-258 ◽

Author(s):

Clément Cancès ◽

Thierry Gallouët ◽

Alessio Porretta

Keyword(s):

Porous Media ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Barriers

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Discontinous Galerkin and Mixed-Hybrid Finite Element Approach to Two-Phase Flow in Heterogeneous Porous Media with Different Capillary Pressures

Procedia Computer Science ◽

10.1016/j.procs.2011.04.096 ◽

2011 ◽

Vol 4 ◽

pp. 908-917 ◽

Author(s):

Radek Fučík ◽

Jiří Mikyška

Keyword(s):

Porous Media ◽

Heterogeneous Porous Media ◽

Two Phase ◽

Finite Element Approach ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element ◽

Element Approach ◽

Capillary Pressures ◽

Discontinous Galerkin

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

SIAM Journal on Mathematical Analysis ◽

10.1137/090747993 ◽

2010 ◽

Vol 42 (2) ◽

pp. 972-995 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Asymptotic Behavior ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

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Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method

SIAM Journal on Scientific Computing ◽

10.1137/20m1344652 ◽

2021 ◽

pp. S317-S344

Author(s):

Li Luo ◽

Xiao-Chuan Cai ◽

David E. Keyes

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flows ◽

Two Phase ◽

Flows In Porous Media ◽

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

SIAM Journal on Mathematical Analysis ◽

10.1137/090747981 ◽

2010 ◽

Vol 42 (2) ◽

pp. 946-971 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Asymptotic Behavior ◽

Entropy Solution ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

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Quasi-Characteristics Scheme with Parallel Facilities for Computations of Two-Phase Flows in Heterogeneous Porous Media

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/3-540-48086-2_58 ◽

2002 ◽

pp. 526-534

Author(s):

Mikhail P. Levin

Keyword(s):

Porous Media ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

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Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2009032 ◽

2009 ◽

Vol 43 (5) ◽

pp. 973-1001 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Capillary Pressure ◽

Finite Volume ◽

Heterogeneous Porous Media ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

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Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.017 ◽

2021 ◽

Vol 98 ◽

pp. 40-68

Author(s):

Francesco Bonaldi ◽

Konstantin Brenner ◽

Jérôme Droniou ◽

Roland Masson

Keyword(s):

Porous Media ◽

Mechanical Deformation ◽

Fractured Porous Media ◽

Two Phase Flows ◽

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