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 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Numerical Schemes ◽

Homopolymer Blends ◽

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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 ◽

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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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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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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 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, 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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An efficient second-order linear scheme for the phase field model of corrosive dissolution

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112472 ◽

2020 ◽

Vol 367 ◽

pp. 112472 ◽

Author(s):

Huadong Gao ◽

Lili Ju ◽

Ravindra Duddu ◽

Hongwei Li

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Order Linear ◽

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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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Efficient and energy stable method for the Cahn-Hilliard phase-field model for diblock copolymers

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.12.006 ◽

2020 ◽

Vol 151 ◽

pp. 263-281 ◽

Author(s):

Jun Zhang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Diblock Copolymers ◽

Field Model ◽

Phase Field Model ◽

Stable Method ◽

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