Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-010-0599-y ◽

2010 ◽

Vol 31 (5) ◽

pp. 743-758 ◽

Author(s):

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Incompressible Flows ◽

Phase Field Model ◽

Two Phase ◽

Energy Stable Schemes ◽

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Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density

Journal of Scientific Computing ◽

10.1007/s10915-014-9867-4 ◽

2014 ◽

Vol 62 (2) ◽

pp. 601-622 ◽

Author(s):

Chun Liu ◽

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Incompressible Flows ◽

Phase Field Model ◽

Variable Density ◽

Two Phase ◽

Energy Stable Schemes ◽

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

SIAM Journal on Numerical Analysis ◽

10.1137/140971154 ◽

2015 ◽

Vol 53 (1) ◽

pp. 279-296 ◽

Author(s):

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Incompressible Flows ◽

Two Phase ◽

Phase Field Models ◽

Energy Stable Schemes ◽

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A linear second-order in time unconditionally energy stable finite element scheme for a Cahn–Hilliard phase-field model for two-phase incompressible flow of variable densities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114186 ◽

2021 ◽

Vol 387 ◽

pp. 114186

Author(s):

Guosheng Fu ◽

Daozhi Han

Keyword(s):

Finite Element ◽

Incompressible Flow ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Scheme ◽

Two Phase ◽

Element Scheme ◽

Second Order In Time ◽

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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.02.011 ◽

2017 ◽

Vol 318 ◽

pp. 1005-1029 ◽

Author(s):

Xiaofeng Yang ◽

Lili Ju

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Binary Fluid ◽

Surfactant Phase ◽

Energy Stable Schemes ◽

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Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows

Mathematics of Computation ◽

10.1090/mcom/3280 ◽

2017 ◽

Vol 87 (313) ◽

pp. 2057-2090 ◽

Author(s):

Yongyong Cai ◽

Jie Shen

Keyword(s):

Error Estimates ◽

Phase Field ◽

Field Model ◽

Incompressible Flows ◽

Phase Field Model ◽

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

Applied Mathematical Modelling ◽

10.1016/j.apm.2018.12.017 ◽

2019 ◽

Vol 70 ◽

pp. 82-108 ◽

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Jun Yao ◽

Shuyu Sun

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Efficient Energy ◽

Energy Stable Schemes ◽

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Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: Second-order, linear, unconditionally energy-stable schemes

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n3.a10 ◽

2019 ◽

Vol 17 (3) ◽

pp. 835-858 ◽

Author(s):

Chen Xu ◽

Chuanjun Chen ◽

Xiaofeng Yang ◽

Xiaoming He

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Numerical Approximations ◽

Order Linear ◽

Surfactant Phase ◽

Energy Stable Schemes ◽

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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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Efficient Linearly and Unconditionally Energy Stable Schemes for the Phase Field Model of Solid-State Dewetting Problems

Lecture Notes in Computer Science - Computational Science – ICCS 2018 ◽

10.1007/978-3-319-93713-7_8 ◽

2018 ◽

pp. 102-112

Author(s):

Zhengkang He ◽

Jie Chen ◽

Zhangxin Chen

Keyword(s):

Solid State ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Energy Stable Schemes ◽

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Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows

Journal of Scientific Computing ◽

10.1007/s10915-016-0279-5 ◽

2016 ◽

Vol 70 (3) ◽

pp. 965-989 ◽

Author(s):

Daozhi Han ◽

Alex Brylev ◽

Xiaofeng Yang ◽

Zhijun Tan

Keyword(s):

Numerical Analysis ◽

Phase Field ◽

Incompressible Flows ◽

Second Order ◽

Two Phase ◽

Discrete Energy ◽

Fully Discrete ◽

Phase Field Models ◽

Energy Stable Schemes ◽

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