Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Efficient numerical solution of discrete multi-component Cahn–Hilliard systems

P. Boyanova and M. Neytcheva
Computers & Mathematics with Applications 67 (1) 106 (2014)
DOI: 10.1016/j.camwa.2013.10.013
See this article

An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model

Sebastian Minjeaud
Numerical Methods for Partial Differential Equations 29 (2) 584 (2013)
DOI: 10.1002/num.21721
See this article

Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels

Hyun Geun Lee and Junseok Kim
European Journal of Mechanics - B/Fluids 42 37 (2013)
DOI: 10.1016/j.euromechflu.2013.06.004
See this article

A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions

Franck Boyer and Flore Nabet
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1691 (2017)
DOI: 10.1051/m2an/2016073
See this article

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Flore Nabet
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 401 (2014)
DOI: 10.1007/978-3-319-05684-5_39
See this article

The Cahn–Hilliard equation and some of its variants

Alain Miranville
AIMS Mathematics 2 (3) 479 (2017)
DOI: 10.3934/Math.2017.2.479
See this article

An efficient algorithm for incompressible N-phase flows

S. Dong
Journal of Computational Physics 276 691 (2014)
DOI: 10.1016/j.jcp.2014.08.002
See this article

The Cahn-Hilliard Equation with Logarithmic Potentials

Laurence Cherfils, Alain Miranville and Sergey Zelik
Milan Journal of Mathematics 79 (2) 561 (2011)
DOI: 10.1007/s00032-011-0165-4
See this article

Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids

Jie Shen and Xiaofeng Yang
SIAM Journal on Scientific Computing 36 (1) B122 (2014)
DOI: 10.1137/130921593
See this article

On some practical issues concerning the implementation of Cahn–Hilliard–Navier–Stokes type models

Martin Řehoř, Jan Blechta and Ondřej Souček
International Journal of Advances in Engineering Sciences and Applied Mathematics 9 (1) 30 (2017)
DOI: 10.1007/s12572-016-0171-4
See this article

Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow

L’ubomír Baňas and Robert Nürnberg
ESAIM: Mathematical Modelling and Numerical Analysis 51 (3) 1089 (2017)
DOI: 10.1051/m2an/2016048
See this article

Simulation of sharp interface multi-material flows involving an arbitrary number of components through an extended five-equation model

Marie Billaud Friess and Samuel Kokh
Journal of Computational Physics 273 488 (2014)
DOI: 10.1016/j.jcp.2014.05.012
See this article

Stabilized second-order convex splitting schemes for Cahn-Hilliard models with application to diffuse-interface tumor-growth models

X. Wu, G. J. van Zwieten and K. G. van der Zee
International Journal for Numerical Methods in Biomedical Engineering 30 (2) 180 (2014)
DOI: 10.1002/cnm.2597
See this article

Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

Jie Shen and Xiaofeng Yang
SIAM Journal on Numerical Analysis 53 (1) 279 (2015)
DOI: 10.1137/140971154
See this article

An efficient numerical method for simulating multiphase flows using a diffuse interface model

Hyun Geun Lee and Junseok Kim
Physica A: Statistical Mechanics and its Applications 423 33 (2015)
DOI: 10.1016/j.physa.2014.12.027
See this article

A practical numerical scheme for the ternary Cahn–Hilliard system with a logarithmic free energy

Darae Jeong and Junseok Kim
Physica A: Statistical Mechanics and its Applications 442 510 (2016)
DOI: 10.1016/j.physa.2015.09.038
See this article

Modeling and simulation of dynamics of three-component flows on solid surface

Yi Shi and Xiao-Ping Wang
Japan Journal of Industrial and Applied Mathematics 31 (3) 611 (2014)
DOI: 10.1007/s13160-014-0151-7
See this article

Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models

G. Tierra and F. Guillén-González
Archives of Computational Methods in Engineering 22 (2) 269 (2015)
DOI: 10.1007/s11831-014-9112-1
See this article

An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices

Zhiguo Yang and Suchuan Dong
Journal of Computational Physics 393 229 (2019)
DOI: 10.1016/j.jcp.2019.05.018
See this article

A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging

Florian Frank, Chen Liu, Faruk O. Alpak and Beatrice Riviere
Computational Geosciences 22 (2) 543 (2018)
DOI: 10.1007/s10596-017-9709-1
See this article

Numerical approximations to a new phase field model for two phase flows of complex fluids

Jia Zhao, Qi Wang and Xiaofeng Yang
Computer Methods in Applied Mechanics and Engineering 310 77 (2016)
DOI: 10.1016/j.cma.2016.06.008
See this article

On linear schemes for a Cahn–Hilliard diffuse interface model

F. Guillén-González and G. Tierra
Journal of Computational Physics 234 140 (2013)
DOI: 10.1016/j.jcp.2012.09.020
See this article

Improving the accuracy of convexity splitting methods for gradient flow equations

Karl Glasner and Saulo Orizaga
Journal of Computational Physics 315 52 (2016)
DOI: 10.1016/j.jcp.2016.03.042
See this article

A Decoupled Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Hele-Shaw System

Daozhi Han
Journal of Scientific Computing 66 (3) 1102 (2016)
DOI: 10.1007/s10915-015-0055-y
See this article

Physical formulation and numerical algorithm for simulating N immiscible incompressible fluids involving general order parameters

S. Dong
Journal of Computational Physics 283 98 (2015)
DOI: 10.1016/j.jcp.2014.11.039
See this article

Wall-bounded multiphase flows of N immiscible incompressible fluids: Consistency and contact-angle boundary condition

S. Dong
Journal of Computational Physics 338 21 (2017)
DOI: 10.1016/j.jcp.2017.02.048
See this article

Hierarchy of consistent n-component Cahn–Hilliard systems

Franck Boyer and Sebastian Minjeaud
Mathematical Models and Methods in Applied Sciences 24 (14) 2885 (2014)
DOI: 10.1142/S0218202514500407
See this article

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

Xiaofeng Yang, Jia Zhao, Qi Wang and Jie Shen
Mathematical Models and Methods in Applied Sciences 27 (11) 1993 (2017)
DOI: 10.1142/S0218202517500373
See this article

Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model

Jun Zhang and Xiaofeng Yang
Journal of Computational Physics 404 109115 (2020)
DOI: 10.1016/j.jcp.2019.109115
See this article

Convergence of a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions

Flore Nabet
IMA Journal of Numerical Analysis 36 (4) 1898 (2016)
DOI: 10.1093/imanum/drv057
See this article

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow

Jia Zhao, Huiyuan Li, Qi Wang and Xiaofeng Yang
Journal of Scientific Computing 70 (3) 1367 (2017)
DOI: 10.1007/s10915-016-0283-9
See this article

Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model

Mehdi Dehghan and Vahid Mohammadi
Communications in Nonlinear Science and Numerical Simulation 44 204 (2017)
DOI: 10.1016/j.cnsns.2016.07.024
See this article

Unconditionally energy stable time stepping scheme for Cahn–Morral equation: Application to multi-component spinodal decomposition and optimal space tiling

Rouhollah Tavakoli
Journal of Computational Physics 304 441 (2016)
DOI: 10.1016/j.jcp.2015.10.018
See this article

Linear and unconditionally energy stable schemes for the binary fluid–surfactant phase field model

Xiaofeng Yang and Lili Ju
Computer Methods in Applied Mechanics and Engineering 318 1005 (2017)
DOI: 10.1016/j.cma.2017.02.011
See this article

A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State

Xiaolin Fan, Jisheng Kou, Zhonghua Qiao and Shuyu Sun
SIAM Journal on Scientific Computing 39 (1) B1 (2017)
DOI: 10.1137/16M1061552
See this article

Remarks on continuum theory of mixtures: editorial to special issue on mixture theory

K. V. Mohankumar, Vít Průša, K. Kannan and A. S. Wineman
International Journal of Advances in Engineering Sciences and Applied Mathematics 9 (2) 120 (2017)
DOI: 10.1007/s12572-017-0185-6
See this article

Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: Element-free Galerkin method

Vahid Mohammadi and Mehdi Dehghan
Computer Methods in Applied Mechanics and Engineering 345 919 (2019)
DOI: 10.1016/j.cma.2018.11.019
See this article

Efficient energy-stable schemes for the hydrodynamics coupled phase-field model

Guangpu Zhu, Huangxin Chen, Jun Yao and Shuyu Sun
Applied Mathematical Modelling 70 82 (2019)
DOI: 10.1016/j.apm.2018.12.017
See this article

A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modeling of wetting phenomena

Benjamin Aymard, Urbain Vaes, Marc Pradas and Serafim Kalliadasis
Journal of Computational Physics (2018)
DOI: 10.1016/j.jcp.2018.11.036
See this article

Efficient linear schemes for the nonlocal Cahn–Hilliard equation of phase field models

Xiaofeng Yang and Jia Zhao
Computer Physics Communications 235 234 (2019)
DOI: 10.1016/j.cpc.2018.08.012
See this article

Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions

Shuonan Wu and Jinchao Xu
Journal of Computational Physics 343 10 (2017)
DOI: 10.1016/j.jcp.2017.04.039
See this article

A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena

Benjamin Aymard, Urbain Vaes, Marc Pradas and Serafim Kalliadasis
Journal of Computational Physics: X 2 100010 (2019)
DOI: 10.1016/j.jcpx.2019.100010
See this article

Diffuse interface simulation of ternary fluids in contact with solid

Chun-Yu Zhang, Hang Ding, Peng Gao and Yan-Ling Wu
Journal of Computational Physics 309 37 (2016)
DOI: 10.1016/j.jcp.2015.12.054
See this article

Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition

K. Sagiyama, S. Rudraraju and K. Garikipati
Computer Methods in Applied Mechanics and Engineering 311 556 (2016)
DOI: 10.1016/j.cma.2016.09.003
See this article

Decoupled energy stable schemes for phase-field vesicle membrane model

Rui Chen, Guanghua Ji, Xiaofeng Yang and Hui Zhang
Journal of Computational Physics 302 509 (2015)
DOI: 10.1016/j.jcp.2015.09.025
See this article

A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

Jia Zhao, Xiaofeng Yang, Jie Shen and Qi Wang
Journal of Computational Physics 305 539 (2016)
DOI: 10.1016/j.jcp.2015.09.044
See this article

Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model

Qing Cheng, Xiaofeng Yang and Jie Shen
Journal of Computational Physics 341 44 (2017)
DOI: 10.1016/j.jcp.2017.04.010
See this article

Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

Lina Ma, Rui Chen, Xiaofeng Yang and Hui Zhang
Communications in Computational Physics 21 (3) 867 (2017)
DOI: 10.4208/cicp.OA-2016-0008
See this article

Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations

Guo-Dong Zhang, Xiaoming He and Xiaofeng Yang
Journal of Computational and Applied Mathematics 369 112636 (2020)
DOI: 10.1016/j.cam.2019.112636
See this article

Unconditionally energy stable large time stepping method for the L2-gradient flow based ternary phase-field model with precise nonlocal volume conservation

Jun Zhang and Xiaofeng Yang
Computer Methods in Applied Mechanics and Engineering 361 112743 (2020)
DOI: 10.1016/j.cma.2019.112743
See this article

Stabilized Energy Factorization Approach for Allen–Cahn Equation with Logarithmic Flory–Huggins Potential

Xiuhua Wang, Jisheng Kou and Jianchao Cai
Journal of Scientific Computing 82 (2) (2020)
DOI: 10.1007/s10915-020-01127-x
See this article

A phase field method for the numerical simulation of rigid particulate in two-phase flows

Shi Yi
Fluid Dynamics Research 52 (1) 015512 (2020)
DOI: 10.1088/1873-7005/ab6aac
See this article