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  • A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

    Fan Zhang, Hansong Tang, Jian Cheng & Tiegang Liu
    2018-12-08
    https://doi.org/10.4208/cicp.OA-2018-0051
    48659 3475 pp. 988-1009
  • On the Importance of the Stokes-Brinkman Equations for Computing Effective Permeability in Karst Reservoirs

    Marcin Krotkiewski, Ingeborg S. Ligaarden, Knut-Andreas Lie & Daniel W. Schmid
    2011-10-01
    https://doi.org/10.4208/cicp.290610.020211a
    38248 4409 pp. 1315-1332
  • A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

    Huiqiang Yue, Jian Cheng & Tiegang Liu
    2018-04-09
    https://doi.org/10.4208/cicp.OA-2016-0080
    42523 3218 pp. 375-392
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    https://doi.org/10.4208/cicp.OA-2021-0104
    45431 3205 pp. 739-770
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    https://doi.org/10.4208/cicp.OA-2016-0090
    42252 3251 pp. 1231-1257
  • Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

    Rik Verbiest, Julian Koellermeier
    2025-09-02
    https://doi.org/10.4208/cicp.OA-2024-0047
    387 59 pp. 810-848
  • Multiscale Modeling and Simulations of Flows in Naturally Fractured Karst Reservoirs

    Peter Popov, Yalchin Efendiev & Guan Qin
    2009-06-01
    38674 4554 pp. 162-184
  • 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
    https://doi.org/10.4208/cicp.161009.220211a
    39535 4404 pp. 1333-1362
  • Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

    Xin Zhao, Chuanjun Chen
    2025-09-02
    https://doi.org/10.4208/cicp.OA-2023-0009
    364 60 pp. 701-739
  • On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations

    François Dubois, Pierre Lallemand
    2023-10-07
    https://doi.org/10.4208/cicp.OA-2022-0185
    34414 2682 pp. 613-671
  • Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

    Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu
    2023-06-06
    https://doi.org/10.4208/cicp.OA-2023-0020
    39011 2900 pp. 1381-1408
  • A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids

    Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid
    2021-12-06
    https://doi.org/10.4208/cicp.OA-2020-0229
    50291 4257 pp. 224-256
  • A Discrete Flux Scheme for Aerodynamic and Hydrodynamic Flows

    S. C. Fu, R. M. C. So & W. W. F. Leung
    2020-07-21
    https://doi.org/10.4208/cicp.311009.241110s
    39239 3722 pp. 1257-1283
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    60 34 pp. 425-448
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    39056 3925 pp. 425-448
  • New Unconditionally Stable Schemes for the Navier-Stokes Equations

    Hui Yao, Mejdi Azaiez, Chuanju Xu
    2021-08-10
    https://doi.org/10.4208/cicp.OA-2021-0004
    48952 3088 pp. 1083-1117
  • A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

    Xiaodong Liu, Yidong Xia, Hong Luo & Lijun Xuan
    2018-04-04
    https://doi.org/10.4208/cicp.300715.140316a
    40367 3290 pp. 1016-1044
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    https://doi.org/10.4208/cicp.OA-2019-0204
    46158 3907 pp. 288-320
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    https://doi.org/10.4208/cicp.OA-2020-0032
    47818 3389 pp. 1186-1212
  • Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

    Haifeng Niu, Danping Yang & Jianwei Zhou
    2018-09-17
    https://doi.org/10.4208/cicp.OA-2017-0045
    45051 3624 pp. 1477-1502
  • An Augmented Approach for the Pressure Boundary Condition in a Stokes Flow

    Z. Li, X. Wan, K. Ito & S. R. Lubkin
    2006-01-01
    39596 4151 pp. 874-885
  • Efficient Variable-Coefficient Finite-Volume Stokes Solvers

    Mingchao Cai, Andy Nonaka, John B. Bell, Boyce E. Griffith & Aleksandar Donev
    2014-11-08
    https://doi.org/10.4208/cicp.070114.170614a
    41638 3973 pp. 1263-1297
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu & Changhong Hu
    2019-04-28
    https://doi.org/10.4208/cicp.OA-2018-0059
    46620 3441 pp. 719-748
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    https://doi.org/10.4208/cicp.OA-2024-0135
    4120 256 pp. 1417-1452
  • High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise

    Xiaobing Feng, Liet Vo
    2024-10-09
    https://doi.org/10.4208/cicp.OA-2023-0234
    147 57 pp. 821-849
  • Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows

    Yiwen Lin, Shi Jin
    2024-09-06
    https://doi.org/10.4208/cicp.OA-2023-0298
    155 61 pp. 319-347
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    https://doi.org/10.4208/cicp.OA-2022-0096
    42172 3092 pp. 1217-1239
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