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  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    24996 2136 Pages:633-661
  • A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows

    Liang Pan, Junxia Cheng, Shuanghu Wang & Kun Xu
    2017-10-02
    43371 3175 Pages:1123-1149
  • 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
    5266 571 Pages:37-73
  • Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

    Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao
    2024-06-14
    28384 1992 Pages:1263-1286
  • A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

    S. Kelbij Star, Giovanni Stabile, Francesco Belloni, Gianluigi Rozza, Joris Degroote
    2021-04-30
    50102 4527 Pages:34-66
  • Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

    Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw
    2018-03-27
    38743 3949 Pages:583-602
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjögreen & Abdellah Hadjadj
    2012-12-01
    42297 4083 Pages:1603-1622
  • A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

    Marc R. J. Charest, Clinton P. T. Groth & Pierre Q. Gauthier
    2018-04-02
    37639 3099 Pages:615-656
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He & Xiaogang Deng
    2012-12-01
    40753 4558 Pages:284-314
  • 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
    42277 3118 Pages:1217-1239
  • A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

    Zhong-Ze Li, Li Liu, Jun-Bo Cheng
    2023-03-13
    38815 3122 Pages:452-476
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48557 4329 Pages:67-96
  • Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

    Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
    2026-01-15
    3000 239 Pages:29-58
  • 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
    39781 3882 Pages:310-333
  • An Approximate Second-Order Closure Model for Large-Eddy Simulation of Compressible Isotropic Turbulence

    Chenyue Xie, Jianchun Wang, Hui Li, Minping Wan, Shiyi Chen
    2020-07-30
    46842 3980 Pages:775-808
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    44869 3849 Pages:897-920
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45486 4554 Pages:1008-1038 Open-access
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46342 3299 Pages:768-784
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    276 80 Pages:1059-1102
  • Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

    Qin Li, Pengxin Liu & Hanxin Zhang
    2020-07-30
    39710 3230 Pages:1417-1444
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao & Guanghui Hu
    2017-10-02
    46467 3335 Pages:1049-1068
  • Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Mingzhu Zhang, Lijun Yi
    2024-04-10
    24006 2091 Pages:816-858
  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    35407 2706 Pages:938-972
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu
    2018-04-04
    40482 3195 Pages:835-869
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    47343 3060 Pages:1270-1331
  • Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

    Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
    2023-04-28
    32219 2932 Pages:692-732
  • 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
    38285 2942 Pages:1012-1049
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