Two-phase porous media flows with dynamic capillary effects and hysteresis: Uniqueness of weak solutions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.02.009 ◽

2015 ◽

Vol 69 (7) ◽

pp. 688-695 ◽

Author(s):

X. Cao ◽

I.S. Pop

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Two Phase ◽

Capillary Effects ◽

Porous Media Flows ◽

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Energy Stable Discretization for Two-Phase Porous Media Flows

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-43651-3_18 ◽

2020 ◽

pp. 213-221

Author(s):

Clément Cancès ◽

Flore Nabet

Keyword(s):

Porous Media ◽

Two Phase ◽

Porous Media Flows ◽

Energy Stable ◽

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Accurate velocity reconstruction for Discontinuous Galerkin approximations of two-phase porous media flows

Comptes Rendus Mathematique ◽

10.1016/j.crma.2009.02.011 ◽

2009 ◽

Vol 347 (9-10) ◽

pp. 551-554 ◽

Author(s):

Alexandre Ern ◽

Igor Mozolevski ◽

L. Schuh

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Two Phase ◽

Porous Media Flows ◽

Galerkin Approximations ◽

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A Galerkin-projection linearized finite element model for nonlinear diffusion in unsaturated porous-media flows

10.31274/rtd-180814-2401 ◽

1978 ◽

Author(s):

John Howard Cushman

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Model ◽

Nonlinear Diffusion ◽

Element Model ◽

Galerkin Projection ◽

Unsaturated Porous Media ◽

Porous Media Flows ◽

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The existence of weak solutions to immiscible compressible two-phase flow in porous media: The case of fields with different rock-types

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.1217 ◽

2013 ◽

Vol 18 (5) ◽

pp. 1217-1251 ◽

Author(s):

Brahim Amaziane ◽

◽

Leonid Pankratov ◽

Andrey Piatnitski ◽

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...

Keyword(s):

Porous Media ◽

Weak Solutions ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Two Phase ◽

Existence Of Weak Solutions ◽

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On Stabilization of Multi-Layer Hele-Shaw and Porous Media Flows in the Presence of Gravity

Transport in Porous Media ◽

10.1007/s11242-012-0048-3 ◽

2012 ◽

Vol 95 (2) ◽

pp. 349-371 ◽

Author(s):

Prabir Daripa

Keyword(s):

Porous Media ◽

Porous Media Flows ◽

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A heterogeneous modeling method for porous media flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3904 ◽

2014 ◽

Vol 75 (7) ◽

pp. 487-518 ◽

Author(s):

Georgette Hlepas ◽

Timothy Truster ◽

Arif Masud

Keyword(s):

Porous Media ◽

Modeling Method ◽

Porous Media Flows ◽

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A Compressible Fluid Flow Model Coupling Channel and Porous Media Flows and Its Application to Fuel Cell Materials

Transport in Porous Media ◽

10.1007/s11242-020-01449-2 ◽

2020 ◽

Vol 134 (2) ◽

pp. 351-386

Author(s):

Alex Jarauta ◽

Valentin Zingan ◽

Peter Minev ◽

Marc Secanell

Keyword(s):

Porous Media ◽

Fuel Cell ◽

Model Coupling ◽

Porous Media Flows ◽

Fuel Cell Materials ◽

Compressible Fluid Flow ◽

Coupling Channel ◽

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Unified mesoscopic modeling and GPU-accelerated computational method for image-based pore-scale porous media flows

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2017.08.099 ◽

2017 ◽

Vol 115 ◽

pp. 1192-1202 ◽

Author(s):

Senyou An ◽

Huidan (Whitney) Yu ◽

Zhiqiang Wang ◽

Behram Kapadia ◽

Jun Yao

Keyword(s):

Porous Media ◽

Computational Method ◽

Porous Media Flows ◽

Mesoscopic Modeling ◽

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Enhancing Computational Precision for Lattice Boltzmann Schemes in Porous Media Flows

Computation ◽

10.3390/computation4010011 ◽

2016 ◽

Vol 4 (1) ◽

pp. 11 ◽

Author(s):

Farrel Gray ◽

Edo Boek

Keyword(s):

Porous Media ◽

Lattice Boltzmann ◽

Porous Media Flows ◽

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Existence and uniqueness result for two-dimensional porous media flows with porous inclusions based on Brinkman equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2006.11.004 ◽

2007 ◽

Vol 31 (7) ◽

pp. 604-613 ◽

Author(s):

Mirela Kohr ◽

G.P. Raja Sekhar

Keyword(s):

Porous Media ◽

Existence And Uniqueness ◽

Uniqueness Result ◽

Brinkman Equation ◽

Two Dimensional ◽

Porous Media Flows ◽

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