Convergence of Discontinuous Galerkin Methods for Incompressible Two-Phase Flow in Heterogeneous Media

Jisheng Kou; Shuyu Sun

doi:10.1137/120898358

Convergence of Discontinuous Galerkin Methods for Incompressible Two-Phase Flow in Heterogeneous Media

SIAM Journal on Numerical Analysis ◽

10.1137/120898358 ◽

2013 ◽

Vol 51 (6) ◽

pp. 3280-3306 ◽

Cited By ~ 17

Author(s):

Jisheng Kou ◽

Shuyu Sun

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Heterogeneous Media ◽

Two Phase Flow ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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Python framework for hp-adaptive discontinuous Galerkin methods for two-phase flow in porous media

Applied Mathematical Modelling ◽

10.1016/j.apm.2018.10.013 ◽

2019 ◽

Vol 67 ◽

pp. 179-200 ◽

Cited By ~ 3

Author(s):

Andreas Dedner ◽

Birane Kane ◽

Robert Klöfkorn ◽

Martin Nolte

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2014033 ◽

2015 ◽

Vol 49 (1) ◽

pp. 275-301 ◽

Cited By ~ 8

Author(s):

Jan Giesselmann ◽

Tristan Pryer

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Flow Model ◽

Two Phase Flow ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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Numerical simulation of two-phase flow by the finite element, discontinuous Galerkin methods and the level set method

10.1063/1.5114013 ◽

2019 ◽

Author(s):

Miloslav Feistauer ◽

Petr Sváček

Keyword(s):

Numerical Simulation ◽

Finite Element ◽

Discontinuous Galerkin ◽

Level Set Method ◽

Level Set ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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

International Journal of Modern Nonlinear Theory and Application ◽

10.4236/ijmnta.2015.42009 ◽

2015 ◽

Vol 04 (02) ◽

pp. 127-141

Author(s):

Jiangyong Hou ◽

Wenjing Yan ◽

Jie Chen

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Flow Problem ◽

Upwind Scheme ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase ◽

Velocity Projection

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Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two-phase flow in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21817 ◽

2014 ◽

Vol 30 (5) ◽

pp. 1674-1699 ◽

Cited By ~ 12

Author(s):

Jisheng Kou ◽

Shuyu Sun

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Mass Conservation ◽

Flow In Porous Media ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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Adaptive simulations of two-phase flow by discontinuous Galerkin methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.05.007 ◽

2006 ◽

Vol 196 (1-3) ◽

pp. 404-419 ◽

Cited By ~ 44

Author(s):

W. Klieber ◽

B. Rivière

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase ◽

Adaptive Simulations

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Analysis of hp discontinuous Galerkin methods for incompressible two-phase flow

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.08.026 ◽

2009 ◽

Vol 225 (2) ◽

pp. 487-509 ◽

Cited By ~ 23

Author(s):

Yekaterina Epshteyn ◽

Beatrice Rivière

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase

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Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.01.050 ◽

2016 ◽

Vol 307 ◽

pp. 262-283 ◽

Cited By ~ 7

Author(s):

Jiangyong Hou ◽

Jie Chen ◽

Shuyu Sun ◽

Zhangxin Chen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Heterogeneous Media ◽

Two Phase Flow ◽

Phase Flow ◽

Two Phase

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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 ◽

Cited By ~ 10

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 ◽

Phase Flow ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Discontinuous and continuous Galerkin methods for compressible single-phase and two-phase flow in fractured porous media

Advances in Water Resources ◽

10.1016/j.advwatres.2021.104039 ◽

2021 ◽

Vol 156 ◽

pp. 104039 ◽

Cited By ~ 1

Author(s):

Tianran Ma ◽

Keni Zhang ◽

Weijun Shen ◽

Chaobin Guo ◽

Hao Xu

Keyword(s):

Porous Media ◽

Single Phase ◽

Two Phase Flow ◽

Fractured Porous Media ◽

Phase Flow ◽

Galerkin Methods ◽

Two Phase ◽

Continuous Galerkin ◽

Continuous Galerkin Methods

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