Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media

Jim Douglas, Jr.

doi:10.1137/0720046

Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/0720046 ◽

1983 ◽

Vol 20 (4) ◽

pp. 681-696 ◽

Cited By ~ 111

Author(s):

Jim Douglas, Jr.

Keyword(s):

Porous Media ◽

Finite Difference ◽

Incompressible Flow ◽

Finite Difference Methods ◽

Flow In Porous Media ◽

Two Phase ◽

Difference Methods

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Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

Journal of Computational Mathematics ◽

10.4208/jcm.1701-m2016-0628 ◽

2018 ◽

Vol 36 (4) ◽

pp. 492-516

Author(s):

Xiaoli Li and Hongxing Rui

Keyword(s):

Porous Media ◽

Finite Difference ◽

Finite Difference Methods ◽

Flow In Porous Media ◽

Difference Methods

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The upwind finite difference fractional steps methods for two-phase compressible flow in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10036 ◽

2002 ◽

Vol 19 (1) ◽

pp. 67-88 ◽

Cited By ~ 18

Author(s):

Yirang Yuan

Keyword(s):

Porous Media ◽

Finite Difference ◽

Compressible Flow ◽

Flow In Porous Media ◽

Two Phase ◽

Upwind Finite Difference

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An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110854 ◽

2021 ◽

pp. 110854

Author(s):

Jisheng Kou ◽

Xiuhua Wang ◽

ShiGui Du ◽

Shuyu Sun

Keyword(s):

Porous Media ◽

Numerical Method ◽

Incompressible Flow ◽

Flow In Porous Media ◽

Two Phase ◽

Energy Stable ◽

Stable Linear

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Assessment of finite difference methods to solve porous media dynamics

Computer Methods and Recent Advances in Geomechanics ◽

10.1201/b17435-252 ◽

2014 ◽

pp. 1433-1438

Author(s):

Y Zhang ◽

D Pedroso ◽

L Li

Keyword(s):

Porous Media ◽

Finite Difference ◽

Finite Difference Methods ◽

Difference Methods

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Finite-difference methods in multi-dimensional two-phase flow

Computing Methods in Applied Sciences and Engineering, 1977, II - Lecture Notes in Physics ◽

10.1007/3-540-09119-x_98 ◽

2008 ◽

pp. 149-168

Author(s):

John R. Travis

Keyword(s):

Finite Difference ◽

Two Phase Flow ◽

Finite Difference Methods ◽

Phase Flow ◽

Two Phase ◽

Difference Methods

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Finite difference methods for modeling porous media flows

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts ◽

10.1016/0148-9062(96)87428-6 ◽

1996 ◽

Vol 33 (1) ◽

pp. A11

Keyword(s):

Porous Media ◽

Finite Difference ◽

Finite Difference Methods ◽

Porous Media Flows ◽

Difference Methods ◽

Media Flows

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Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90050-1 ◽

1984 ◽

Vol 47 (1-2) ◽

pp. 119-130 ◽

Cited By ~ 9

Author(s):

Jim Douglas ◽

Bruce L. Darlow ◽

Mary Fanett Wheeler ◽

Richard P. Kendall

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Difference Methods ◽

Adaptive Finite Element ◽

Immiscible Flow ◽

Two Phase ◽

One Dimensional ◽

Difference Methods ◽

Self Adaptive

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High-order bound-preserving finite difference methods for miscible displacements in porous media

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109219 ◽

2020 ◽

Vol 406 ◽

pp. 109219

Author(s):

Hui Guo ◽

Xinyuan Liu ◽

Yang Yang

Keyword(s):

Porous Media ◽

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Miscible Displacements ◽

Difference Methods

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Modelling Two-Phase Incompressible Flow in Porous Media Using Mixed Hybrid and Discontinuous Finite Elements

Computational Geosciences ◽

10.1023/b:comg.0000024446.98662.36 ◽

2004 ◽

Vol 8 (1) ◽

pp. 49-73 ◽

Cited By ~ 32

Author(s):

D. Nayagum ◽

G. Schäfer ◽

R. Mosé

Keyword(s):

Porous Media ◽

Finite Elements ◽

Incompressible Flow ◽

Flow In Porous Media ◽

Two Phase ◽

Discontinuous Finite Elements

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On the solution of transient free-surface flow problems in porous media by finite-difference methods

Journal of Hydrology ◽

10.1016/0022-1694(71)90005-9 ◽

1971 ◽

Vol 12 (3) ◽

pp. 177-210 ◽

Cited By ~ 39

Author(s):

Marius Todsen

Keyword(s):

Porous Media ◽

Free Surface ◽

Finite Difference ◽

Finite Difference Methods ◽

Free Surface Flow ◽

Surface Flow ◽

Flow Problems ◽

Difference Methods

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