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  • The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

    Yujing Yan, Huangxin Chen, Xiaoli Li
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0089
    824 177 pp. 1332-1362
  • 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
    DOI:10.4208/cicp.OA-2018-0061
    46722 3334 pp. 1098-1117
  • Mass and Volume Conservation in Phase Field Models for Binary Fluids

    Jie Shen, Xiaofeng Yang, Qi Wang
    2013-08-05
    DOI:10.4208/cicp.300711.160212a
    43246 4162 pp. 1045-1065
  • Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

    Xiaobing Feng, Hailiang Liu, Shu Ma
    2019-08-27
    DOI:10.4208/cicp.2019.js60.05
    49158 3574 pp. 1365-1396
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou, Dong Liang
    2018-04-03
    DOI:10.4208/cicp.070814.190615a
    41581 3247 pp. 411-441
  • Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

    Shi Jin, Zheng Ma, Keke Wu
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0211
    25513 2191 pp. 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
    DOI:10.4208/cicp.OA-2020-0050
    47157 4566 pp. 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
    DOI:10.4208/cicp.030710.131210s
    39906 4104 pp. 1144-1168
  • A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

    Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang
    2026-01-18
    DOI:10.4208/cicp.OA-2023-0321
    751 111 pp. 1199-1230
  • Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging

    Liangrong Wang, Xingpeng Dong, Dinghui Yang
    2026-04-10
    DOI:10.4208/cicp.OA-2024-0230
    191 52 pp. 129-152
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0309
    28111 2092 pp. 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
    DOI:10.4208/cicp.OA-2023-0176
    31775 2641 pp. 1079-1132
  • Prediction of Moments in the Particles on Demand Method for LBM

    Elizaveta Zipunova, Anastasia Perepelkina, Vadim Levchenko, German Zvezdin
    2023-02-20
    DOI:10.4208/cicp.OA-2022-0048
    43825 3842 pp. 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
    DOI:10.4208/cicp.OA-2020-0073
    48680 4396 pp. 67-96
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao, Huaxiong Huang
    2019-04-04
    DOI:10.4208/cicp.OA-2018-0134
    47063 3488 pp. 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
    DOI:10.4208/cicp.OA-2018-0015
    49134 3718 pp. 1024-1044
  • Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

    Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun
    2026-01-03
    DOI:10.4208/cicp.OA-2023-0254
    2071 176 pp. 815-854
  • 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
    DOI:10.4208/cicp.OA-2018-0202
    47173 3308 pp. 412-430
  • Numerical Simulation of Compositional Flow in Porous Media Under Gravity

    Zhangxin Chen, Guoqiang (Joe) Zhou, Dan Carruthers
    2006-01-01
    39189 4086 pp. 827-846
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong, Jingjing Zhang
    2014-07-05
    DOI:10.4208/cicp.111211.270712a
    39267 4848 pp. 219-241
  • The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

    Shamsul Qamar, Munshoor Ahmed, Ishtiaq Ali
    2012-12-01
    DOI:10.4208/cicp.210211.011111a
    40423 4255 pp. 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
    DOI:10.4208/cicp.080509.310310s
    39603 3985 pp. 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
    DOI:10.4208/cicp.101114.150415a
    39675 3141 pp. 757-786
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard, P. K. Jimack
    2011-10-01
    DOI:10.4208/cicp.201010.040511a
    40073 5040 pp. 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
    DOI:10.4208/cicp.2009.09.018
    41323 4192 pp. 423-444
  • An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

    Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
    2026-04-10
    DOI:10.4208/cicp.OA-2024-0283
    167 41 pp. 199-238
  • 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
    DOI:10.4208/cicp.OA-2024-0016
    3747 360 pp. 1210-1236
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