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  • A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

    Tian Liang, Lin Fu
    2024-10-09
    DOI:10.4208/cicp.OA-2024-0071
    16975 1259 pp. 618-650
  • 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
    DOI:10.4208/cicp.OA-2023-0108
    24804 2133 pp. 662-692
  • 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
  • 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
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    DOI:10.4208/cicp.OA-2022-0064
    41123 3196 pp. 850-877
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0248
    42894 3721 pp. 126-155
  • 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
    DOI:10.4208/cicp.OA-2021-0158
    45444 3207 pp. 913-946
  • 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
    DOI:10.4208/cicp.OA-2021-0126
    47991 3249 pp. 771-815
  • High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

    Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0153
    49547 3302 pp. 666-708
  • 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 Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method

    Fang Qing, Xijun Yu, Zupeng Jia, Meilan Qiu, Xiaolong Zhao
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0207
    50251 3290 pp. 1464-1501
  • High-Order Spectral Simulation of Graphene Ribbons

    David P. Nicholls
    2019-08-27
    DOI:10.4208/cicp.2019.js60.13
    43608 3213 pp. 1575-1596
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0254
    46446 3335 pp. 768-784
  • Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

    E. Ferrer, D. Moxey, R. H. J. Willden, S. J. Sherwin
    2014-12-08
    DOI:10.4208/cicp.290114.170414a
    39660 4109 pp. 817-840
  • 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
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjoegreen, Abdellah Hadjadj
    2012-12-01
    DOI:10.4208/cicp.261111.130412a
    42366 4120 pp. 1603-1622
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato, Meng-Sing Liou
    2012-12-01
    DOI:10.4208/cicp.250311.081211a
    41027 4156 pp. 1096-1120
  • 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
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Bjorn Sjogreen, H. C. Yee
    2018-04-11
    41377 3444 pp. 730-744
  • Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

    Sigal Gottlieb, Jae-Hun Jung
    2018-04-11
    41169 3627 pp. 600-619
  • A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

    Y. Xing & C.-W. Shu
    2018-03-22
    41949 4590 pp. 100-134
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0058
    832 183 pp. 1059-1102
  • Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

    Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
    2026-01-15
    DOI:10.4208/cicp.OA-2024-0266
    3288 383 pp. 29-58
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    DOI:10.4208/cicp.OA-2024-0241
    3792 371 pp. 923-952
  • 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
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    DOI:10.4208/cicp.OA-2023-0348
    19658 1518 pp. 451-484
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