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

Maurice S. Fabien; Matthew G. Knepley; Béatrice M. Rivière

doi:10.1002/nme.5919

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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Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two-phase flow in porous media with dynamic capillarity effects

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5526 ◽

2017 ◽

Vol 112 (6) ◽

pp. 553-577 ◽

Cited By ~ 13

Author(s):

Stefan Karpinski ◽

Iuliu Sorin Pop ◽

Florin Adrian Radu

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase ◽

Interior Penalty ◽

Dynamic Capillarity

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A Hybridized Crouziex-Raviart Nonconforming Finite Element and Discontinuous Galerkin Method for a Two-Phase Flow in the Porous Media

Journal of Computational Methods In Engineering ◽

10.47176/jcme.38.2.6661 ◽

2020 ◽

Vol 38 (02) ◽

Keyword(s):

Finite Element ◽

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Nonconforming Finite Element ◽

Phase Flow ◽

Two Phase

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

Computational Geosciences ◽

10.1007/s10596-014-9426-y ◽

2014 ◽

Vol 18 (5) ◽

pp. 779-796 ◽

Cited By ~ 48

Author(s):

Peter Bastian

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Capillary Pressure ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase ◽

Fully Coupled

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Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2854 ◽

2013 ◽

Vol 37 (7) ◽

pp. 962-982 ◽

Cited By ~ 8

Author(s):

Jisheng Kou ◽

Shuyu Sun

Keyword(s):

Finite Element ◽

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Mixed Finite Element ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase

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A Lax–Wendroff-IMPES scheme for a two-phase flow in porous media using interior penalty discontinuous Galerkin method

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1627825 ◽

2019 ◽

Vol 75 (5) ◽

pp. 325-346 ◽

Cited By ~ 2

Author(s):

M. Jamei ◽

A. Raeisi Isa Abadi ◽

I. Ahmadianfar

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Phase Flow ◽

Two Phase ◽

Interior Penalty

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An unfitted interior penalty discontinuous Galerkin method for incompressible Navier-Stokes two-phase flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3653 ◽

2012 ◽

Vol 71 (3) ◽

pp. 269-293 ◽

Cited By ~ 23

Author(s):

F. Heimann ◽

C. Engwer ◽

O. Ippisch ◽

P. Bastian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Navier Stokes ◽

Phase Flow ◽

Two Phase ◽

Interior Penalty

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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 ◽

Cited By ~ 1

Author(s):

M. Rehan Saleem ◽

Ishtiaq Ali ◽

Shamsul Qamar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Flow Model ◽

Two Phase Flow ◽

Phase Flow ◽

Two Phase

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On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.846 ◽

2005 ◽

Vol 22 (7) ◽

pp. 741-751 ◽

Cited By ~ 15

Author(s):

Y. Epshteyn ◽

B. Rivière

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Phase Flow ◽

Two Phase

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Efficient simulation of one-dimensional two-phase flow with a high-order h-adaptive space-time Discontinuous Galerkin method

Computers & Fluids ◽

10.1016/j.compfluid.2017.06.010 ◽

2017 ◽

Vol 156 ◽

pp. 34-47 ◽

Cited By ~ 1

Author(s):

J.S.B. van Zwieten ◽

B. Sanderse ◽

M.H.W. Hendrix ◽

C. Vuik ◽

R.A.W.M. Henkes

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Space Time ◽

High Order ◽

Phase Flow ◽

Two Phase ◽

One Dimensional ◽

Efficient Simulation

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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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