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

Journal of Scientific Computing ◽

10.1007/s10915-016-0283-9 ◽

2016 ◽

Vol 70 (3) ◽

pp. 1367-1389 ◽

Author(s):

Jia Zhao ◽

Huiyuan Li ◽

Qi Wang ◽

Xiaofeng Yang

Keyword(s):

Viscous Fluid ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Incompressible Viscous Fluid ◽

Viscous Fluid Flow ◽

Three Phase ◽

Energy Stable Schemes ◽

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.014 ◽

2021 ◽

Vol 96 ◽

pp. 67-76

Author(s):

Huanrong Li ◽

Dongmei Wang ◽

Zhengyuan Song ◽

Fuchen Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Analysis ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Reduced Order ◽

Energy Stable ◽

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

SIAM Journal on Scientific Computing ◽

10.1137/16m1100885 ◽

2018 ◽

Vol 40 (1) ◽

pp. B110-B137 ◽

Author(s):

Yali Gao ◽

Xiaoming He ◽

Liquan Mei ◽

Xiaofeng Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Energy Stable ◽

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

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109115 ◽

2020 ◽

Vol 404 ◽

pp. 109115 ◽

Author(s):

Jun Zhang ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Time Stepping ◽

Three Phase ◽

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Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5221 ◽

2016 ◽

Vol 108 (6) ◽

pp. 535-567 ◽

Author(s):

Francisco Guillén-González ◽

María Ángeles Rodríguez-Bellido ◽

Giordano Tierra

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Splitting Schemes ◽

Stable Splitting ◽

Anchoring Effects ◽

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