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  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0289
    35549 2753 pp. 938-972
  • A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

    Angela Ferrari, Claus-Dieter Munz, Bernhard Weigand
    2011-09-01
    DOI:10.4208/cicp.090310.050510a
    39193 4490 pp. 205-230
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38521 4034 pp. 449-478
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu, Huazhong Tang
    2020-07-31
    DOI:10.4208/cicp.130313.210613s
    41543 3992 pp. 911-943
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    DOI:10.4208/cicp.OA-2024-0023
    28125 2049 pp. 1-29
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0061
    31586 2735 pp. 1043-1078
  • High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

    Jiahong Cai, Shengye Wang, Wei Liu
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0164
    26281 2246 pp. 395-426
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    DOI:10.4208/cicp.OA-2022-0270
    47456 3098 pp. 1270-1331
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0141
    49148 3309 pp. 1321-1351
  • A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

    Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0034
    25785 2193 pp. 524-552
  • Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

    Walter Boscheri, Matteo Semplice, Michael Dumbser
    2018-10-11
    DOI:10.4208/cicp.OA-2018-0069
    46929 3588 pp. 311-346
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0130
    797 159 pp. 1027-1058
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    DOI:10.4208/cicp.OA-2019-0197
    46446 4465 pp. 237-264
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0155
    49146 3229 pp. 1437-1463
  • WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

    You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang, Shi Shu
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0210
    50095 3282 pp. 1012-1036
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    DOI:10.4208/cicp.030211.040811a
    40509 3874 pp. 767-788
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0136
    45933 3934 pp. 1394-1412
  • A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

    Yueling Jia, Song Jiang, Baolin Tian, Eleuterio F. Toro
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0097
    45371 3466 pp. 309-331
  • A Direct ALE Multi-Moment Finite Volume Scheme for the Compressible Euler Equations

    Peng Jin, Xi Deng, Feng Xiao
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0189
    46303 3619 pp. 1300-1325
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    DOI:10.4208/cicp.OA-2016-0088
    44547 3232 pp. 829-851
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    DOI:10.4208/cicp.OA-2023-0153
    15739 1275 pp. 781-820
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao, Guanghui Hu
    2017-10-02
    DOI:10.4208/cicp.OA-2016-0200
    46553 3368 pp. 1049-1068
  • Detonation Simulations with a Fifth-Order TENO Scheme

    Haibo Dong, Lin Fu, Fan Zhang, Yu Liu, Jun Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2018-0008
    49935 4193 pp. 1357-1393
  • A Node-Centered Artificial Viscosity Method for Two-Dimensional Lagrangian Hydrodynamics Calculations on a Staggered Grid

    A. Burbeau-Augoula
    2010-08-01
    DOI:10.4208/cicp.030709.161209a
    39370 3837 pp. 877-900
  • Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

    Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall, Romain Teyssier
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0071
    46256 5285 pp. 1-34
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0204
    45935 3465 pp. 532-563
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