An efficient and energy stable scheme for a phase-field model for the moving contact line problem

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4200 ◽

2015 ◽

Vol 81 (11) ◽

pp. 657-671 ◽

Author(s):

Sebastian Aland ◽

Feng Chen

Keyword(s):

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A gradient stable scheme for a phase field model for the moving contact line problem

Journal of Computational Physics ◽

10.1016/j.jcp.2011.10.015 ◽

2012 ◽

Vol 231 (4) ◽

pp. 1372-1386 ◽

Author(s):

Min Gao ◽

Xiao-Ping Wang

Keyword(s):

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Moving Contact Line ◽

Moving Contact ◽

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Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.02.022 ◽

2020 ◽

Vol 83 ◽

pp. 614-639 ◽

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Aifen Li ◽

Shuyu Sun ◽

Jun Yao

Keyword(s):

Contact Line ◽

Phase Field ◽

Discrete Energy ◽

Fully Discrete ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model

Journal of Computational Mathematics ◽

10.4208/jcm.1703-m2016-0614 ◽

2018 ◽

Vol 36 (5) ◽

pp. 661-681 ◽

Author(s):

Rui Chen

Keyword(s):

Contact Line ◽

Phase Field ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0154 ◽

2020 ◽

Vol 13 (2) ◽

pp. 539-568

Author(s):

Fengdai Kang & Zhen Zhang

Keyword(s):

Contact Line ◽

Auxiliary Variables ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity

Journal of Computational Physics ◽

10.1016/j.jcp.2014.04.054 ◽

2014 ◽

Vol 272 ◽

pp. 704-718 ◽

Author(s):

Min Gao ◽

Xiao-Ping Wang

Keyword(s):

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Variable Density ◽

Moving Contact Line ◽

Moving Contact ◽

Efficient Scheme

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3D adaptive finite element method for a phase field model for the moving contact line problems

Inverse Problems & Imaging ◽

10.3934/ipi.2013.7.947 ◽

2013 ◽

Vol 7 (3) ◽

pp. 947-959 ◽

Author(s):

Yi Shi ◽

◽

Kai Bao ◽

Xiao-Ping Wang ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Moving Contact Line ◽

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A novel linear, unconditional energy stable scheme for the incompressible Cahn–Hilliard–Navier–Stokes phase-field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.10.006 ◽

2020 ◽

Vol 80 (12) ◽

pp. 2948-2971

Author(s):

Hongen Jia ◽

Xue Wang ◽

Kaitai Li

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Efficient, Second-Order in Time, and Energy Stable Scheme for a New Hydrodynamically Coupled Three Components Volume-Conserved Allen-Cahn Phase-Field Model

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202521500184 ◽

2021 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Second Order In Time ◽

Energy Stable ◽

Time And Energy ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Three Components

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

Journal of Computational Physics ◽

10.1016/j.jcp.2015.09.044 ◽

2016 ◽

Vol 305 ◽

pp. 539-556 ◽

Author(s):

Jia Zhao ◽

Xiaofeng Yang ◽

Jie Shen ◽

Qi Wang

Keyword(s):

Liquid Crystals ◽

Phase Field ◽

Field Model ◽

Nematic Liquid Crystals ◽

Phase Field Model ◽

Viscous Fluids ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106120 ◽

2021 ◽

pp. 106120

Author(s):

Peng Liu ◽

Zhigang Ouyang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Incompressible Flow ◽

Phase Field ◽

Field Model ◽

Flow System ◽

Phase Field Model ◽

Variable Density ◽

Two Phase ◽

Energy Stable ◽

Energy Stable Scheme ◽

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