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 ◽

Author(s):

Jan Giesselmann ◽

Tristan Pryer

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Galerkin Methods ◽

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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 ◽

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 ◽

Galerkin Methods ◽

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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 ◽

Galerkin Methods ◽

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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 ◽

Author(s):

Jisheng Kou ◽

Shuyu Sun

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Heterogeneous Media ◽

Two Phase Flow ◽

Galerkin Methods ◽

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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 ◽

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 ◽

Author(s):

Jisheng Kou ◽

Shuyu Sun

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Mass Conservation ◽

Flow In Porous Media ◽

Galerkin Methods ◽

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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 ◽

Author(s):

W. Klieber ◽

B. Rivière

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two 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 ◽

Author(s):

Yekaterina Epshteyn ◽

Beatrice Rivière

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Two Phase Flow ◽

Galerkin Methods ◽

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Application of discontinuous Galerkin method for solving a compressible five-equation two-phase flow model

Results in Physics ◽

10.1016/j.rinp.2017.12.044 ◽

2018 ◽

Vol 8 ◽

pp. 379-390 ◽

Author(s):

M. Rehan Saleem ◽

Ishtiaq Ali ◽

Shamsul Qamar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

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An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110135 ◽

2021 ◽

Vol 431 ◽

pp. 110135

Author(s):

Frédéric Coquel ◽

Claude Marmignon ◽

Pratik Rai ◽

Florent Renac

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element Method ◽

Two Phase Flow ◽

Spectral Element ◽

Two Phase ◽

Entropy Stable ◽

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Comprehensive Comparisons of a Two-Phase Flow Model with a Wide Range of Conditions

Coastal Dynamics 2005 ◽

10.1061/40855(214)91 ◽

2006 ◽

Author(s):

Haijiang Liu ◽

Shinji Sato

Keyword(s):

Two Phase Flow ◽

Two Phase ◽

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