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  • A Flux-Corrected Phase-Field Method for Surface Diffusion

    Yujie Zhang & Wenjing Ye
    2018-04-09
    42155 3213 Pages:422-440
  • Phase-Field Models for Multi-Component Fluid Flows

    Junseok Kim
    2012-12-01
    42642 5168 Pages:613-661 Open-access
  • Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

    Xi Liu, Zhenhua Chai, Baochang Shi
    2021-10-26
    48129 3342 Pages:1346-1369
  • Inflection Point as a Manifestation of Tricritical Point on the Dynamic Phase Boundary in Ising Meanfield Dynamics

    Muktish Acharyya & Ajanta Bhowal Acharyya
    2018-03-24
    39270 4037 Pages:397-405
  • Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

    Ruotai Li, Qiang Du, Lei Zhang
    2021-01-13
    47283 3406 Pages:729-746
  • Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

    A. Rasheed & A. Belmiloudi
    2014-08-05
    41174 4105 Pages:477-508
  • Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

    Colby L. Wight, Jia Zhao
    2021-01-13
    58901 3820 Pages:930-954
  • Mass and Volume Conservation in Phase Field Models for Binary Fluids

    Jie Shen, Xiaofeng Yang & Qi Wang
    2013-08-05
    43052 4088 Pages:1045-1065
  • An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

    G. Beckett, J. A. Mackenzie & M. L. Robertson
    2006-01-01
    39366 3886 Pages:805-826
  • Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

    Lizhen Chen, Zengyan Zhang, Jia Zhao
    2021-10-26
    46570 3294 Pages:1290-1322
  • Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

    Jingwen Wu, Zhijun Tan
    2024-07-29
    160 123 Pages:104-132
  • A Multi-Mesh Adaptive Finite Element Approximation to Phase Field Models

    Xianliang Hu, Ruo Li & Tao Tang
    2009-05-01
    38895 3951 Pages:1012-1029
  • Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and Its Numerical Simulations with Mixed Finite Element Method

    Pengtao Sun, Chun Liu & Jinchao Xu
    2020-07-30
    39349 3834 Pages:1095-1117
  • A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces

    Sihong Shao & Tiezheng Qian
    2012-11-01
    42052 3908 Pages:831-862
  • A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

    Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo
    2025-05-29
    183 70 Pages:1305-1326
  • A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

    Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li
    2024-05-06
    37349 2886 Pages:859-904
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50564 3535 Pages:1335-1364
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50135 5247 Pages:87-113
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

    Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse
    2018-04-08
    41519 4517 Pages:65-92
  • Mesh Sensitivity for Numerical Solutions of Phase-Field Equations Using r-Adaptive Finite Element Methods

    Heyu Wang & Ruo Li
    2018-03-24
    40018 3934 Pages:357-375
  • Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

    Lina Ma, Rui Chen, Xiaofeng Yang & Hui Zhang
    2018-04-09
    41096 3056 Pages:867-889
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40289 3292 Pages:477-510
  • Mathematical Model of Freezing in a Porous Medium at Micro-Scale

    Alexandr Žák, Michal Beneš, Tissa H. Illangasekare, Andrew C. Trautz
    2018-09-17
    47068 3368 Pages:557-575
  • Computation of Two-Phase Biomembranes with Phase Dependent Material Parameters Using Surface Finite Elements

    Charles M. Elliott & Björn Stinner
    2018-03-27
    39047 4070 Pages:325-360
  • A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets

    Amanda E. Diegel & Shawn W. Walker
    2018-09-01
    46765 5323 Pages:155-188
  • A Phase-Field Model Coupled with Lattice Kinetics Solver for Modeling Crystal Growth in Furnaces

    Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky & Charles H. Henager Jr.
    2014-01-05
    40279 4121 Pages:76-92
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