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  • 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
  • Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

    Fang Feng, Hui Yang, Shengfeng Zhu
    2025-08-23
    5931 388 Pages:850-886
  • Closed-Loop Geothermal Systems: Modeling and Predictions

    K. Adhikari, M. K. Mudunuru, K. B. Nakshatrala
    2025-07-11
    4955 444 Pages:223-247
  • An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

    Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai
    2023-05-12
    36233 2866 Pages:1090-1105
  • Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets

    Karun P. N. Datadien, Gianluca Di Staso, Christian Diddens, Herman M. A. Wijshoff, Federico Toschi
    2023-04-28
    33363 2798 Pages:912-936
  • A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

    Alia Al-Ghosoun, Ashraf S. Osman, Mohammed Seaid
    2021-02-25
    44634 3186 Pages:1095-1124
  • A Numerical Thermal-Hydraulic Model to Simulate the Fast Transients in a Supercritical Water Channel Subjected to Sharp Pressure Variations

    Goutam Dutta, Jin Jiang, Rohit Maitri & Chao Zhang
    2020-07-31
    39872 3176 Pages:1529-1541
  • An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

    Zhijun Tan, K. M. Lim & B. C. Khoo
    2011-10-01
    39535 4404 Pages:1333-1362
  • Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

    Junkai Wang, Qiaolin He
    2024-10-29
    145 50 Pages:1053-1089
  • A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

    Jian Qin, Wei Lu, Peng Gao
    2024-10-29
    150 55 Pages:977-995
  • Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

    Tianwei Yu, Roman Fuchs, Ralf Hiptmair
    2024-10-09
    146 57 Pages:581-617
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • Numerical Simulation for Moving Contact Line with Continuous Finite Element Schemes

    Yongyue Jiang, Ping Lin, Zhenlin Guo & Shuangling Dong
    2018-04-03
    42172 4345 Pages:180-202
  • A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

    Pei Zhang, Yanli Wang, Zhennan Zhou
    2024-01-31
    28862 2368 Pages:70-106
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    31487 2580 Pages:530-562
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    33381 2823 Pages:261-289
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    41010 3389 Pages:425-451
  • PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

    Hailong Sheng, Chao Yang
    2022-10-28
    46910 3260 Pages:980-1006
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu
    2019-02-25
    47236 5427 Pages:233-264
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber & Zhiliang Xu
    2018-10-11
    48516 3387 Pages:586-624
  • A Fast Method for Evaluating Green's Function in Irregular Domains with Application to Charge Interaction in a Nanopore

    Qiyuan Zhao, Pei Liu & Zhenli Xu
    2020-07-31
    42878 3166 Pages:1241-1258
  • On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

    Bo Zhang, Dangxing Chen & Jingfang Huang
    2020-07-31
    42641 3230 Pages:1221-1240
  • Nonlocal Wave Propagation in Unbounded Multi-Scale Media

    Qiang Du, Jiwei Zhang & Chunxiong Zheng
    2020-07-31
    44137 3259 Pages:1049-1072
  • Accurate p$K_a$ Computation Using Matched Interface and Boundary (MIB) Method Based Poisson-Boltzmann Solver

    Jingzhen Hu, Shan Zhao & Weihua Geng
    2018-08-21
    47281 3237 Pages:520-539
  • Transition of Defect Patterns from 2D to 3D in Liquid Crystals

    Yang Qu, Ying Wei & Pingwen Zhang
    2018-04-09
    41180 3118 Pages:890-904
  • A Novel Efficient Numerical Solution of Poisson's Equation for Arbitrary Shapes in Two Dimensions

    Zu-Hui Ma, Weng Cho Chew & Li Jun Jiang
    2020-07-30
    42108 3405 Pages:1381-1404
  • Godunov-Type Numerical Methods for a Model of Granular Flow on Open Tables with Walls

    Adimurthi, Aekta Aggarwal & G. D. Veerappa Gowda
    2018-04-04
    40237 3135 Pages:1071-1105
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