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  • A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

    Huiqiang Yue, Jian Cheng, Tiegang Liu
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0080
    42675 3304 pp. 375-392
  • 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
    DOI:10.4208/cicp.OA-2016-0090
    42401 3301 pp. 1231-1257
  • Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

    Rik Verbiest, Julian Koellermeier
    2025-09-02
    DOI:10.4208/cicp.OA-2024-0047
    10365 572 pp. 810-848
  • 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
    DOI:10.4208/cicp.OA-2018-0051
    48846 3547 pp. 988-1009
  • Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

    Xin Zhao, Chuanjun Chen
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0009
    10161 629 pp. 701-739
  • On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations

    François Dubois, Pierre Lallemand
    2023-10-07
    DOI:10.4208/cicp.OA-2022-0185
    34708 2747 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
    DOI:10.4208/cicp.OA-2023-0020
    39207 2950 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
    DOI:10.4208/cicp.OA-2020-0229
    50508 4372 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
    DOI:10.4208/cicp.311009.241110s
    39395 3767 pp. 1257-1283
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    Kun Xu, Eswar Josyula
    2006-01-01
    39222 4012 pp. 425-448
  • New Unconditionally Stable Schemes for the Navier-Stokes Equations

    Hui Yao, Mejdi Azaiez, Chuanju Xu
    2021-08-10
    DOI:10.4208/cicp.OA-2021-0004
    49161 3151 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
    DOI:10.4208/cicp.300715.140316a
    40514 3343 pp. 1016-1044
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    DOI:10.4208/cicp.OA-2020-0032
    48019 3482 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
    DOI:10.4208/cicp.OA-2017-0045
    45305 3683 pp. 1477-1502
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu, Changhong Hu
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0059
    46793 3524 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
    DOI:10.4208/cicp.OA-2024-0135
    4609 357 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
    DOI:10.4208/cicp.OA-2023-0234
    15372 1244 pp. 821-849
  • 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
    DOI:10.4208/cicp.OA-2022-0096
    42407 3169 pp. 1217-1239
  • Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

    Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn
    2022-09-29
    DOI:10.4208/cicp.OA-2021-0146
    42895 3385 pp. 715-736
  • A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow

    Xiaofeng He, Kun Wang, Yiwei Feng, Tiegang Liu, Xiaojun Wang
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0098
    51697 3278 pp. 1134-1161
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    DOI:10.4208/cicp.OA-2019-0204
    46358 4076 pp. 288-320
  • Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

    Jin Zhao
    2020-12-02
    DOI:10.4208/cicp.OA-2019-0192
    48098 3344 pp. 420-444
  • A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

    Jiachuan Zhang, Kai Zhang, Jingzhi Li, Xiaoshen Wang
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0267
    48772 3298 pp. 706-746
  • Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

    Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
    2019-10-31
    DOI:10.4208/cicp.220515.031016a
    42336 4771 pp. 202-227
  • Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

    Dongfang Li, Xiaoxi Li, Jiang Yang
    2024-10-29
    DOI:10.4208/cicp.OA-2023-0241
    23015 1396 pp. 908-942
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    236 107 pp. 425-448
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0081
    41322 3496 pp. 425-451
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