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

Yuezheng Gong; Jia Zhao; Qi Wang

doi:10.1137/17m1135451

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 ◽

Cited By ~ 20

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 ◽

Energy Stable

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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 ◽

Cited By ~ 33

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 ◽

Energy Stable

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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 ◽

Cited By ~ 1

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Aifen Li ◽

Shuyu Sun ◽

Jun Yao

Keyword(s):

Contact Line ◽

Phase Field ◽

Discrete Energy ◽

Line Model ◽

Fully Discrete ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme

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Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

SIAM Journal on Scientific Computing ◽

10.1137/17m1111759 ◽

2018 ◽

Vol 40 (1) ◽

pp. B138-B167 ◽

Cited By ~ 31

Author(s):

Yuezheng Gong ◽

Jia Zhao ◽

Xiaogang Yang ◽

Qi Wang

Keyword(s):

Viscous Fluid ◽

Phase Field ◽

Fluid Flows ◽

Second Order ◽

Order Linear ◽

Fully Discrete ◽

Phase Field Models

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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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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 ◽

Cited By ~ 2

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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First- and second-order energy stable methods for the modified phase field crystal equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.03.033 ◽

2017 ◽

Vol 321 ◽

pp. 1-17 ◽

Cited By ~ 14

Author(s):

Hyun Geun Lee ◽

Jaemin Shin ◽

June-Yub Lee

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Energy Stable ◽

Phase Field Crystal

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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 ◽

Cited By ~ 90

Author(s):

Jie Shen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Incompressible Flows ◽

Two Phase ◽

Phase Field Models ◽

Energy Stable Schemes ◽

Energy Stable

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Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

Journal of Computational Physics ◽

10.1016/j.jcp.2011.03.033 ◽

2011 ◽

Vol 230 (13) ◽

pp. 5310-5327 ◽

Cited By ~ 128

Author(s):

Hector Gomez ◽

Thomas J.R. Hughes

Keyword(s):

Variational Methods ◽

Phase Field ◽

Second Order ◽

Unconditionally Stable ◽

Phase Field Models

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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 ◽

Cited By ~ 1

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 ◽

Energy Stable

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