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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Efficient and Energy Stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-Invariant Energy Quadratization (S-IEQ) Approach

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110342 ◽

2021 ◽

pp. 110342

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Invariant Energy Quadratization ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Three Components

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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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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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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 linearly second-order energy stable scheme for the phase field crystal model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.01.017 ◽

2019 ◽

Vol 140 ◽

pp. 134-164 ◽

Author(s):

Shuaichao Pei ◽

Yanren Hou ◽

Bo You

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Crystal Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Phase Field Crystal

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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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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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A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110015 ◽

2021 ◽

Vol 432 ◽

pp. 110015 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Energy Model ◽

Second Order ◽

Bending Energy ◽

Elastic Bending ◽

Energy Stable ◽

Energy Stable Scheme ◽

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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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