Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

Claire Chainais-Hillairet; Jérôme Droniou

doi:10.1137/060657236

Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/060657236 ◽

2007 ◽

Vol 45 (5) ◽

pp. 2228-2258 ◽

Cited By ~ 21

Author(s):

Claire Chainais-Hillairet ◽

Jérôme Droniou

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Finite Volume ◽

Parabolic System ◽

System Modeling ◽

Fluid Flows ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Flows In Porous Media ◽

Miscible Fluid

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Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20291 ◽

2008 ◽

Vol 24 (3) ◽

pp. 799-832 ◽

Cited By ~ 15

Author(s):

Brahim Amaziane ◽

Mustapha El Ossmani

Keyword(s):

Finite Element ◽

Porous Media ◽

Convergence Analysis ◽

Finite Volume ◽

Mixed Finite Element ◽

Fluid Flows ◽

Finite Volume Methods ◽

Flows In Porous Media ◽

Miscible Fluid

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Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21913 ◽

2014 ◽

Vol 31 (3) ◽

pp. 723-760 ◽

Cited By ~ 15

Author(s):

Claire Chainais-Hillairet ◽

Stella Krell ◽

Alexandre Mouton

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Fluid Flows ◽

Flows In Porous Media ◽

Miscible Fluid

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A Finite Volume Scheme for Darcy-Brinkman’s Model of Two-Phase Flows in Porous Media

Progress in Industrial Mathematics at ECMI 2016 - Mathematics in Industry ◽

10.1007/978-3-319-63082-3_104 ◽

2017 ◽

pp. 695-703

Author(s):

Houssein Nasser El Dine ◽

Mazen Saad ◽

Raafat Talhouk

Keyword(s):

Porous Media ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Volume Scheme ◽

Flows In Porous Media

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A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_20 ◽

2011 ◽

pp. 185-193 ◽

Cited By ~ 3

Author(s):

K. Brenner ◽

C. Cancès ◽

D. Hilhorst

Keyword(s):

Porous Media ◽

Capillary Pressure ◽

Finite Volume ◽

Pressure Field ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Volume Scheme ◽

Flows In Porous Media

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Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.098 ◽

2013 ◽

Vol 219 (10) ◽

pp. 5140-5151 ◽

Cited By ~ 13

Author(s):

Rajesh Kumar ◽

Jitendra Kumar

Keyword(s):

Numerical Simulation ◽

Convergence Analysis ◽

Finite Volume ◽

Population Balance ◽

Finite Volume Scheme ◽

Balance Equations ◽

Population Balance Equations ◽

Volume Scheme

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Convergence of a finite volume scheme for immiscible compressible two-phase flow in porous media by the concept of the global pressure

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113728 ◽

2021 ◽

pp. 113728

Author(s):

Brahim Amaziane ◽

Mladen Jurak ◽

Ivana Radišić

Keyword(s):

Porous Media ◽

Finite Volume ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Finite Volume Scheme ◽

Phase Flow ◽

Two Phase ◽

Volume Scheme ◽

Global Pressure

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Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation

SIAM Journal on Numerical Analysis ◽

10.1137/140980247 ◽

2015 ◽

Vol 53 (4) ◽

pp. 1672-1689 ◽

Cited By ~ 13

Author(s):

Jitendra Kumar ◽

Jitraj Saha ◽

Evangelos Tsotsas

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Finite Volume Scheme ◽

Volume Scheme

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Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1234 ◽

2009 ◽

pp. n/a-n/a

Author(s):

Emilio Cariaga ◽

Fernando Concha ◽

Iuliu Sorin Pop ◽

Mauricio Sepúlveda

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Heap Leaching ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Copper Heap Leaching

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Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2003028 ◽

2003 ◽

Vol 37 (2) ◽

pp. 319-338 ◽

Cited By ~ 42

Author(s):

Claire Chainais-Hillairet ◽

Jian-Guo Liu ◽

Yue-Jun Peng

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Drift Diffusion ◽

Volume Scheme

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A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900382739 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1301-1317 ◽

Cited By ~ 37

Author(s):

Anthony Michel

Keyword(s):

Porous Media ◽

Finite Volume ◽

Flow In Porous Media ◽

Finite Volume Scheme ◽

Immiscible Flow ◽

Two Phase ◽

Volume Scheme

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