Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme

Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.07.029 ◽

2019 ◽

Vol 357 ◽

pp. 112560

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado

Keyword(s):

Heat Transfer ◽

Finite Volume ◽

Conjugate Heat Transfer ◽

High Order ◽

Finite Volume Scheme ◽

Polygonal Mesh ◽

Volume Scheme ◽

Transfer Problems ◽

A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier–Stokes and Euler Equations on Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-016-0348-9 ◽

2017 ◽

Vol 71 (3) ◽

pp. 1375-1411 ◽

Cited By ~ 2

Author(s):

Ricardo Costa ◽

Stéphane Clain ◽

Gaspar J. Machado ◽

Raphaël Loubère

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Unstructured Meshes ◽

High Order ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Positivity-preserving finite volume scheme for compressible two-phase flows in anisotropic porous media: The densities are depending on the physical pressures

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109233 ◽

2020 ◽

Vol 407 ◽

pp. 109233 ◽

Cited By ~ 4

Author(s):

Mustapha Ghilani ◽

El Houssaine Quenjel ◽

Mazen Saad

Keyword(s):

Porous Media ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Positivity Preserving ◽

Two Phase ◽

Anisotropic Porous Media ◽

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

Multi-dimensional Optimal Order Detection (MOOD) — a Very High-Order Finite Volume Scheme for Conservation Laws on Unstructured Meshes

10.1007/978-3-642-20671-9_28 ◽

2011 ◽

pp. 263-271 ◽

Cited By ~ 2

Author(s):

S. Clain ◽

S. Diot ◽

R. Loubère

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Unstructured Meshes ◽

High Order ◽

Optimal Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

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

Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110604 ◽

2021 ◽

pp. 110604

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado

Keyword(s):

Heat Transfer ◽

Finite Volume ◽

Conjugate Heat Transfer ◽

High Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Curved Domains ◽

Polyhedral Mesh ◽

Transfer Problems ◽

A finite volume scheme to compute incompressible gas-solid two-phase flows

10.2514/6.2000-2665 ◽

2000 ◽

Cited By ~ 1

Author(s):

Sylvain Boivin ◽

Florent Cayre ◽

Jean-Marc Herard

Keyword(s):

Finite Volume ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2009032 ◽

2009 ◽

Vol 43 (5) ◽

pp. 973-1001 ◽

Cited By ~ 37

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Capillary Pressure ◽

Finite Volume ◽

Heterogeneous Porous Media ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

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

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

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

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 ◽