A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112779 ◽

2020 ◽

Vol 363 ◽

pp. 112779 ◽

Author(s):

Jun Zhang ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Dendritic Solidification ◽

Solidification Model ◽

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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 ◽

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Efficient numerical scheme for a dendritic solidification phase field model with melt convection

Journal of Computational Physics ◽

10.1016/j.jcp.2019.03.017 ◽

2019 ◽

Vol 388 ◽

pp. 41-62 ◽

Author(s):

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Field Model ◽

Phase Field Model ◽

Dendritic Solidification ◽

Melt Convection

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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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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

Communications in Computational Physics ◽

10.4208/cicp.2019.js60.10 ◽

2019 ◽

Vol 26 (5) ◽

pp. 1335-1364 ◽

Author(s):

Kelong Cheng

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Energy Stable ◽

Pseudo Spectral ◽

Phase Field Crystal

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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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Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system

Computer Physics Communications ◽

10.1016/j.cpc.2019.107122 ◽

2020 ◽

Vol 251 ◽

pp. 107122 ◽

Author(s):

Jun Zhang ◽

Chuanjun Chen ◽

Jiangxing Wang ◽

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Binary Phase ◽

Surfactant System ◽

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A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.07.003 ◽

2018 ◽

Vol 134 ◽

pp. 46-65 ◽

Author(s):

Qi Li ◽

Liquan Mei ◽

Bo You

Keyword(s):

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Crystal Model ◽

Energy Stable ◽

Phase Field Crystal

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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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Peta-scale phase-field simulation for dendritic solidification on the TSUBAME 2.0 supercomputer

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '11 ◽

10.1145/2063384.2063388 ◽

2011 ◽

Author(s):

Takashi Shimokawabe ◽

Takayuki Aoki ◽

Tomohiro Takaki ◽

Toshio Endo ◽

Akinori Yamanaka ◽

...

Keyword(s):

Phase Field ◽

Dendritic Solidification ◽

Phase Field Simulation ◽

Field Simulation

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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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