A high-efficiency second-order numerical scheme for time-fractional phase field models by using extended SAV method

Hui Zhang; Xiaoyun Jiang

doi:10.1007/s11071-020-05943-6

A high-efficiency second-order numerical scheme for time-fractional phase field models by using extended SAV method

Nonlinear Dynamics ◽

10.1007/s11071-020-05943-6 ◽

2020 ◽

Vol 102 (1) ◽

pp. 589-603

Author(s):

Hui Zhang ◽

Xiaoyun Jiang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

High Efficiency ◽

Second Order ◽

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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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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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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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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Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.012 ◽

2018 ◽

Vol 75 (6) ◽

pp. 1912-1928 ◽

Cited By ~ 13

Author(s):

Lixiu Dong ◽

Wenqiang Feng ◽

Cheng Wang ◽

Steven M. Wise ◽

Zhengru Zhang

Keyword(s):

Convergence Analysis ◽

Phase Field ◽

Numerical Scheme ◽

Three Dimensional ◽

Second Order ◽

Numerical Implementation ◽

Phase Field Crystal

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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 ◽

Cited By ~ 2

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 ◽

Crank Nicolson

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Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential

Computer Physics Communications ◽

10.1016/j.cpc.2019.106860 ◽

2019 ◽

Vol 245 ◽

pp. 106860 ◽

Cited By ~ 1

Author(s):

Jun Zhang ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Unconditionally Stable ◽

Crystal Model ◽

Time Marching ◽

Phase Field Crystal

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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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On a Novel Full Decoupling, Linear, Second‐Order Accurate, and Unconditionally Energy Stable Numerical Scheme for the Anisotropic Phase‐Field Dendritic Crystal Growth Model

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6697 ◽

2021 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Dendritic Crystal ◽

Energy Stable ◽

Anisotropic Phase

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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 ◽

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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