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  • A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

    Xiaolu Gu, Juan Cheng, Chi-Wang Shu
    2023-12-11
    https://doi.org/10.4208/cicp.OA-2023-0083
    32949 2710 pp. 1177-1214
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    https://doi.org/10.4208/cicp.OA-2024-0114
    195 57 pp. 1327-1357
  • Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

    Xue-Li Li, Yu-Xin Ren & Wanai Li
    2018-10-11
    https://doi.org/10.4208/cicp.OA-2017-0040
    46151 3432 pp. 481-507
  • Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

    Xing Ji, Kun Xu
    2020-06-05
    https://doi.org/10.4208/cicp.OA-2019-0082
    49937 3352 pp. 539-590
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    https://doi.org/10.4208/cicp.110212.021112a
    40547 4586 pp. 599-620
  • High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

    H. Q. Yang & Robert E. Harris
    2018-09-17
    https://doi.org/10.4208/cicp.OA-2017-0008
    45359 3408 pp. 356-382
  • High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

    Y. Sun, Z. J. Wang & Y. Liu
    2018-03-24
    39704 3857 pp. 310-333
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphaël Loubère, Michael Dumbser & Steven Diot
    2014-12-08
    https://doi.org/10.4208/cicp.181113.140314a
    39523 3826 pp. 718-763
  • A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

    Liang Pan & Kun Xu
    2020-07-31
    https://doi.org/10.4208/cicp.141214.140715s
    38454 3013 pp. 985-1011
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    https://doi.org/10.4208/cicp.OA-2020-0198
    48410 3161 pp. 1037-1060
  • High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen
    2018-04-03
    https://doi.org/10.4208/cicp.211014.040915a
    41450 3254 pp. 273-300
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    https://doi.org/10.4208/cicp.OA-2019-0197
    46211 4304 pp. 237-264
  • High-Order Unified Gas-Kinetic Scheme

    Gyuha Lim, Yajun Zhu, Kun Xu
    2022-10-28
    https://doi.org/10.4208/cicp.OA-2022-0113
    45690 3230 pp. 951-979
  • The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

    Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang
    2025-07-11
    https://doi.org/10.4208/cicp.OA-2024-0180
    5033 504 pp. 37-73
  • Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

    Yi Wang & Shuyu Sun
    2018-04-04
    https://doi.org/10.4208/cicp.210815.240316a
    39914 3194 pp. 405-440
  • High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

    Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng
    2018-08-21
    https://doi.org/10.4208/cicp.OA-2017-0032
    47875 3503 pp. 1355-1392
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    63 34 pp. 449-478
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38364 3964 pp. 449-478
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    https://doi.org/10.4208/cicp.OA-2022-0270
    47223 3031 pp. 1270-1331
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    https://doi.org/10.4208/cicp.OA-2021-0158
    45191 3103 pp. 913-946
  • An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

    Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu
    2020-02-23
    https://doi.org/10.4208/cicp.OA-2018-0317
    50843 3227 pp. 1140-1173
  • Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

    Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji & Ching Y. Loh
    2018-09-17
    https://doi.org/10.4208/cicp.OA-2017-0162
    46167 3197 pp. 791-809
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato & Meng-Sing Liou
    2012-12-01
    https://doi.org/10.4208/cicp.250311.081211a
    40855 4064 pp. 1096-1120
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    https://doi.org/10.4208/cicp.OA-2021-0126
    47752 3186 pp. 771-815
  • An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

    Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong
    2024-04-10
    https://doi.org/10.4208/cicp.OA-2023-0108
    24602 2037 pp. 662-692
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang
    2020-07-31
    https://doi.org/10.4208/cicp.171214.210715s
    38228 2923 pp. 1012-1049
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    https://doi.org/10.4208/cicp.050309.110510a
    37314 3845 pp. 441-480
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