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 linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.12.012 ◽

2019 ◽

Vol 347 ◽

pp. 316-339 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Second Order ◽

Dendritic Crystal ◽

Time Marching ◽

Anisotropic Phase

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Efficient and Energy Stable Scheme for an Anisotropic Phase-field Dendritic Crystal Growth Model Using the Scalar Auxiliary Variable (SAV) Approach

Journal of Mathematical Study ◽

10.4208/jms.v53n2.20.05 ◽

2020 ◽

Vol 53 (2) ◽

pp. 212-236

Author(s):

Xiaofeng Yang sci

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Auxiliary Variable ◽

Dendritic Crystal ◽

Energy Stable ◽

Energy Stable Scheme ◽

Anisotropic Phase ◽

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Fully-discrete spectral-Galerkin scheme with decoupled structure and second-order time accuracy for the anisotropic phase-field dendritic crystal growth model

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2021.121750 ◽

2021 ◽

Vol 180 ◽

pp. 121750

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Second Order ◽

Galerkin Scheme ◽

Dendritic Crystal ◽

Fully Discrete ◽

Time Accuracy ◽

Decoupled Structure ◽

Anisotropic Phase

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A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.029 ◽

2019 ◽

Vol 95 ◽

pp. 122-129 ◽

Author(s):

Jun Zhang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Dendritic Crystal ◽

Anisotropic Phase ◽

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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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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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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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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5372 ◽

2016 ◽

Vol 110 (3) ◽

pp. 279-300 ◽

Author(s):

Jia Zhao ◽

Qi Wang ◽

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Numerical Approximations ◽

Dendritic Crystal ◽

Model Based ◽

Invariant Energy Quadratization

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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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Design and Verification of the MPFA Scheme for Three-Dimensional Phase Field Model of Dendritic Crystal Growth

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_49 ◽

2012 ◽

pp. 459-467 ◽

Author(s):

P. Strachota ◽

M. Beneš

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Dendritic Crystal

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