On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model

Xiaofeng Yang

doi:10.1137/20m1336734

On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model

SIAM Journal on Scientific Computing ◽

10.1137/20m1336734 ◽

2021 ◽

Vol 43 (2) ◽

pp. B479-B507

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Binary Fluid ◽

Surfactant Phase ◽

Energy Stable

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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 ◽

Cited By ~ 49

Author(s):

Xiaofeng Yang ◽

Lili Ju

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Binary Fluid ◽

Surfactant Phase ◽

Energy Stable Schemes ◽

Energy Stable

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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 ◽

Cited By ~ 10

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 ◽

Energy Stable

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Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113875 ◽

2021 ◽

pp. 113875

Author(s):

Qiongwei Ye ◽

Zhigang Ouyang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Two Phase Flows ◽

Two Phase

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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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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

Journal of Computational Physics ◽

10.1016/j.jcp.2016.09.029 ◽

2016 ◽

Vol 327 ◽

pp. 294-316 ◽

Cited By ~ 102

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Numerical Schemes ◽

Homopolymer Blends ◽

Energy Stable

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Numerical simulation of binary fluid–surfactant phase field model coupled with geometric curvature on the curved surface

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113123 ◽

2020 ◽

Vol 367 ◽

pp. 113123 ◽

Cited By ~ 1

Author(s):

Ming Sun ◽

Xinlong Feng ◽

Kun Wang

Keyword(s):

Numerical Simulation ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Curved Surface ◽

Binary Fluid ◽

Geometric Curvature ◽

Surfactant Phase

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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 ◽

Element Method

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Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113600 ◽

2021 ◽

Vol 375 ◽

pp. 113600

Author(s):

Xiaofeng Yang

Keyword(s):

Stokes Equation ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Navier Stokes ◽

Numerical Approximations ◽

Navier Stokes Equation ◽

Energy Stable ◽

Multi Phase

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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 ◽

Cited By ~ 35

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 ◽

Element Method

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Efficient numerical scheme for a dendritic solidification phase field model with melt convection

Journal of Computational Physics ◽

10.1016/j.jcp.2019.03.017 ◽

2019 ◽

Vol 388 ◽

pp. 41-62 ◽

Cited By ~ 35

Author(s):

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Field Model ◽

Phase Field Model ◽

Dendritic Solidification ◽

Melt Convection

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