On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities, Archive for Rational Mechanics and Analysis, vol.141, issue.4, pp.463-506, 2009. ,
DOI : 10.1007/s00205-008-0160-2
On a diffuse interface model for a two-phase flow of compressible viscous fluids, Indiana University Mathematics Journal, vol.57, issue.2, pp.659-698, 2008. ,
DOI : 10.1512/iumj.2008.57.3391
THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES, Mathematical Models and Methods in Applied Sciences, vol.22, issue.03, p.1150013, 2012. ,
DOI : 10.1142/S0218202511500138
On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality, IMA Journal of Numerical Analysis, vol.32, issue.4, pp.1574-1603, 2012. ,
DOI : 10.1093/imanum/drr046
URL : https://hal.archives-ouvertes.fr/hal-00355212
Discrete duality finite volume schemes for Leray???Lions???type elliptic problems on general 2D meshes, Numerical Methods for Partial Differential Equations, vol.152, issue.1, pp.145-195, 2007. ,
DOI : 10.1002/num.20170
URL : https://hal.archives-ouvertes.fr/hal-00005779
On discrete functional inequalities for some finite volume schemes, IMA Journal of Numerical Analysis, vol.35, issue.3, pp.1125-1149, 2015. ,
DOI : 10.1093/imanum/dru032
URL : https://hal.archives-ouvertes.fr/hal-00672591
A theoretical and numerical model for the study of incompressible mixture flows, Computers & Fluids, vol.31, issue.1, pp.41-68, 2002. ,
DOI : 10.1016/S0045-7930(00)00031-1
URL : https://hal.archives-ouvertes.fr/hal-00004084
Nonoverlapping Schwarz algorithm for solving two-dimensional m-DDFV schemes, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1062-1100, 2010. ,
DOI : 10.1093/imanum/drp001
Inf-Sup stability of the discrete duality finite volume method for the 2D Stokes problem, Mathematics of Computation, vol.84, issue.296, pp.2705-2742, 2015. ,
DOI : 10.1090/mcom/2956
URL : https://hal.archives-ouvertes.fr/hal-00795362
Cahn???Hilliard/Navier???Stokes Model for the Simulation of Three-Phase Flows, Transport in Porous Media, vol.515, issue.3, pp.463-483, 2010. ,
DOI : 10.1007/s11242-009-9408-z
URL : https://hal.archives-ouvertes.fr/hal-00860768
Numerical schemes for a three component Cahn-Hilliard model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.4, pp.697-738, 2011. ,
DOI : 10.1051/m2an/2010072
URL : https://hal.archives-ouvertes.fr/hal-00390065
Dissipation in rapid dynamic wetting, Journal of Fluid Mechanics, vol.12, pp.213-240, 2011. ,
DOI : 10.1063/1.2646754
A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions, Discrete and Continuous Dynamical Systems, vol.27, issue.4, pp.1511-1533, 2010. ,
DOI : 10.3934/dcds.2010.27.1511
Convergence to steady states of solutions of the Cahn???Hilliard and Caginalp equations with dynamic boundary conditions, Mathematische Nachrichten, vol.204, issue.13-14, pp.13-141448, 2006. ,
DOI : 10.1002/mana.200410431
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6, pp.1203-1249, 2005. ,
DOI : 10.1051/m2an:2005047
On imposing dynamic contact-angle boundary conditions for wall-bounded liquid???gas flows, Computer Methods in Applied Mechanics and Engineering, vol.247, issue.248, pp.179-200, 2012. ,
DOI : 10.1016/j.cma.2012.07.023
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach, Journal of Computational Physics, vol.266, pp.47-73, 2014. ,
DOI : 10.1016/j.jcp.2014.02.011
Finite volume methods, Handbook of numerical analysis, pp.715-1022, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00346077
Novel Surface Modes in Spinodal Decomposition, Physical Review Letters, vol.79, issue.5, pp.893-896, 1997. ,
DOI : 10.1103/PhysRevLett.79.893
Diverging time and length scales of spinodal decomposition modes in thin films, Europhysics Letters (EPL), vol.42, issue.1, pp.49-54, 1998. ,
DOI : 10.1209/epl/i1998-00550-y
A DDFV Scheme for Incompressible Navier-Stokes Equations with Variable Density, Proceedings of Finite Volumes for Complex Applications VII, Springer Proceedings in Mathematics and Statistics, 2014. ,
DOI : 10.1007/978-3-319-05591-6_62
Quantitative benchmark computations of two-dimensional bubble dynamics, International Journal for Numerical Methods in Fluids, vol.3, issue.5, pp.1259-1288, 2009. ,
DOI : 10.1002/nme.1620150502
Calculation of Two-Phase Navier???Stokes Flows Using Phase-Field Modeling, Journal of Computational Physics, vol.155, issue.1, pp.96-127, 1999. ,
DOI : 10.1006/jcph.1999.6332
Contact-line dynamics of a diffuse fluid interface, Journal of Fluid Mechanics, vol.402, pp.57-88, 2000. ,
DOI : 10.1017/S0022112099006874
Finite element approximation of a Cahn???Hilliard???Navier???Stokes system, Interfaces and Free Boundaries, vol.10, issue.1, pp.15-43, 2008. ,
DOI : 10.4171/IFB/178
Phase separation in confined geometries: Solving the Cahn???Hilliard equation with generic boundary conditions, Computer Physics Communications, vol.133, issue.2-3, pp.139-157, 2001. ,
DOI : 10.1016/S0010-4655(00)00159-4
The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.808-837, 2012. ,
DOI : 10.1137/110831593
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method, Physica D: Nonlinear Phenomena, vol.179, issue.3-4, pp.3-4211, 2003. ,
DOI : 10.1016/S0167-2789(03)00030-7
An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows, Journal of Computational Physics, vol.236, pp.143-156, 2013. ,
DOI : 10.1016/j.jcp.2012.11.022
URL : https://hal.archives-ouvertes.fr/hal-00636296
An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model, Numerical Methods for Partial Differential Equations, vol.146, issue.2, pp.584-618, 2013. ,
DOI : 10.1002/num.21721
URL : https://hal.archives-ouvertes.fr/hal-00577226
Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions, Mathematical Methods in the Applied Sciences, vol.10, issue.6, pp.709-735, 2005. ,
DOI : 10.1002/mma.590
Convergence of a finite-volume scheme for the Cahn???Hilliard equation with dynamic boundary conditions, IMA Journal of Numerical Analysis, vol.36, issue.4, 2015. ,
DOI : 10.1093/imanum/drv057
URL : https://hal.archives-ouvertes.fr/hal-01096996
Maximal regularity and asymptotic behavior of solutions for the Cahn???Hilliard equation with dynamic boundary conditions, Annali di Matematica Pura ed Applicata, vol.8, issue.4, pp.627-648, 2006. ,
DOI : 10.1007/s10231-005-0175-3
The Cahn-Hilliard equation with dynamic boundary conditions, Adv. Differential Equations, vol.8, issue.1, pp.83-110, 2003. ,
Efficient energy stable numerical schemes for a phase field moving contact line model, Journal of Computational Physics, vol.284, pp.617-630, 2015. ,
DOI : 10.1016/j.jcp.2014.12.046
Moving contact line on chemically patterned surfaces, Journal of Fluid Mechanics, vol.62, pp.59-78, 2008. ,
DOI : 10.1103/PhysRevLett.91.108303
Convergence to equilibrium for the Cahn???Hilliard equation with dynamic boundary conditions, Journal of Differential Equations, vol.204, issue.2, pp.511-531, 2004. ,
DOI : 10.1016/j.jde.2004.05.004