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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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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Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids

SIAM Journal on Scientific Computing ◽

10.1137/17m1135451 ◽

2018 ◽

Vol 40 (2) ◽

pp. B528-B553 ◽

Author(s):

Yuezheng Gong ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Phase Field ◽

Second Order ◽

Viscous Fluids ◽

Discrete Energy ◽

Staggered Grids ◽

Fully Discrete ◽

Phase Field Models ◽

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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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A second order, linear, unconditionally stable, Crank–Nicolson–Leapfrog scheme for phase field models of two-phase incompressible flows

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106521 ◽

2020 ◽

Vol 108 ◽

pp. 106521 ◽

Author(s):

Daozhi Han ◽

Nan Jiang

Keyword(s):

Phase Field ◽

Incompressible Flows ◽

Second Order ◽

Two Phase ◽

Unconditionally Stable ◽

Order Linear ◽

Phase Field Models ◽

Leapfrog Scheme ◽

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Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids

SIAM Journal on Scientific Computing ◽

10.1137/130921593 ◽

2014 ◽

Vol 36 (1) ◽

pp. B122-B145 ◽

Author(s):

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Complex Fluids ◽

Two Phase ◽

Phase Field Models ◽

Phase Complex ◽

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, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0100 ◽

2019 ◽

Vol 26 (4) ◽

pp. 1224-1248

Author(s):

Ruihan Guo and Yan Xu

Keyword(s):

Discontinuous Galerkin ◽

Phase Field ◽

Discontinuous Galerkin Methods ◽

Incompressible Flows ◽

Galerkin Methods ◽

Two Phase ◽

Phase Field Models ◽

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Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.02.022 ◽

2020 ◽

Vol 83 ◽

pp. 614-639 ◽

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Aifen Li ◽

Shuyu Sun ◽

Jun Yao

Keyword(s):

Contact Line ◽

Phase Field ◽

Discrete Energy ◽

Fully Discrete ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraints

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.030 ◽

2020 ◽

Vol 79 (3) ◽

pp. 764-788 ◽

Author(s):

Xiaobo Jing ◽

Qi Wang

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Growth Models ◽

Second Order ◽

Order Energy ◽

Energy Stable Schemes ◽

Energy Stable ◽

Nonlocal Constraints ◽

Phase Field Crystal

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Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

Numerische Mathematik ◽

10.1007/s00211-017-0875-9 ◽

2017 ◽

Vol 137 (2) ◽

pp. 417-449 ◽

Author(s):

Yongyong Cai ◽

Heejun Choi ◽

Jie Shen

Keyword(s):

Error Estimates ◽

Phase Field ◽

Incompressible Flows ◽

Two Phase ◽

Phase Field Models

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