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  • A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio

    Tao Lu, Xuguang Yang, Fu Xiao, Tao Wen
    2019-07-02
    46498 3217 Pages:1098-1117
  • 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
  • Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

    Xiaobing Feng, Hailiang Liu, Shu Ma
    2019-08-27
    48935 3491 Pages:1365-1396
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou & Dong Liang
    2018-04-03
    41440 3197 Pages:411-441
  • Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

    Shi Jin, Zheng Ma, Keke Wu
    2024-04-10
    25172 2100 Pages:693-723
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    46890 4389 Pages:1-56
  • Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes

    Juan Cheng & Chi-Wang Shu
    2020-07-31
    39741 4044 Pages:1144-1168
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27860 2014 Pages:1073-1119
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31555 2569 Pages:1079-1132
  • Prediction of Moments in the Particles on Demand Method for LBM

    Elizaveta Zipunova, Anastasia Perepelkina, Vadim Levchenko, German Zvezdin
    2023-02-20
    43606 3541 Pages:144-173
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48428 4278 Pages:67-96
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao & Huaxiong Huang
    2019-04-04
    46868 3414 Pages:389-412
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

    Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim
    2019-12-07
    46946 3227 Pages:412-430
  • Numerical Simulation of Compositional Flow in Porous Media Under Gravity

    Z. Chen, G. Zhou & D. Carruthers
    2006-01-01
    39013 3996 Pages:827-846
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong & Jingjing Zhang
    2014-07-05
    39122 4745 Pages:219-241
  • The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

    Shamsul Qamar, Munshoor Ahmed & Ishtiaq Ali
    2012-12-01
    40259 4194 Pages:1070-1095
  • Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

    Sihong Shao, Tiao Lu & Wei Cai
    2011-03-05
    39470 3920 Pages:711-739
  • Lattice Boltzmann Simulation of Particle Motion in Binary Immiscible Fluids

    Yu Chen, Qinjun Kang, Qingdong Cai, Moran Wang & Dongxiao Zhang
    2018-04-03
    39503 3080 Pages:757-786
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard & P. K. Jimack
    2011-10-01
    39903 4885 Pages:509-576 Open-access
  • Improved Lattice Boltzmann Without Parasitic Currents for Rayleigh-Taylor Instability

    Daniele Chiappini, Gino Bella, Sauro Succi, Federico Toschi & Stefano Ubertini
    2010-07-01
    41068 4115 Pages:423-444
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3420 288 Pages:1210-1236
  • An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows

    Xiaotao Zhang, Chengliang Feng, Changsheng Yu, Yibo Wang, Tiegang Liu
    2024-12-02
    186 51 Pages:1339-1377
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye & Shan Zhao
    2014-05-05
    42424 4045 Pages:1461-1479
  • Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

    Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu
    2024-06-14
    27753 1809 Pages:1352-1386
  • Random Batch Particle Methods for the Homogeneous Landau Equation

    José Antonio Carrillo, Shi Jin, Yijia Tang
    2022-03-30
    88440 4869 Pages:997-1019 Open-access
  • A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

    R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud
    2021-12-06
    48170 4289 Pages:293-330
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