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Advances in Applied Mathematics and Mechanics
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  • Development and Comparative Studies of Three Non-Free Parameter Lattice Boltzmann Models for Simulation of Compressible Flows

    L. M. Yang, C. Shu, J. Wu
    2012-04-01
    42104 4561 Pages:454-472
  • A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models

    Songze Chen, Kun Xu, Qingdong Cai
    2018-03-30
    41603 3121 Pages:245-266
  • Simulation of Vortex Convection in a Compressible Viscous Flow with Dynamic Mesh Adaptation

    C. H. Zhou
    2014-06-01
    42691 4358 Pages:590-603
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

    Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang
    2021-07-01
    43619 4506 Pages:718-731
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    37911 3019 Pages:1256-1289
  • Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering

    Zhihuan Wang, Zhen Gao, Haiyun Wang, Qiang Zhang, Hongqiang Zhu
    2022-12-13
    38460 2944 Pages:522-544
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

    Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu
    2025-03-14
    11037 665 Pages:1014-1036
  • A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

    Ke Zhang, Yiqing Shen
    2025-09-29
    2298 44 Pages:1761-1788
  • Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

    Lingfa Kong, Yidao Dong, Wei Liu
    2024-07-22
    31446 2389 Pages:1056-1103
  • High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

    Shujiang Tang
    2024-05-14
    25085 2340 Pages:980-1008
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    5129 302 Pages:1591-1624
  • The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

    Shuzhi Liu, Qinglong Zhang
    2025-10-14
    4382 261 Pages:242-266
  • A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems

    Yanmeng Wang, Jun Zhu, Lianglin Xiong
    2019-06-24
    45841 3286 Pages:1114-1135
  • Numerical Investigation of Supersonic Channel Flow with Oscillatory Backpressures

    Peizhao Sun, Nansheng Liu, Jiming Yang, Xiyun Lu
    2019-01-04
    47111 4852 Pages:1-23
  • A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums

    Ruo Li, Yanli Wang, Chengbao Yao
    2020-03-06
    48331 4824 Pages:212-250 Open-access
  • Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface

    Xiangyi Liu, Zhiye Zhao, Nansheng Liu, Xiyun Lu
    2023-06-21
    36490 2985 Pages:1166-1190
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2025-11-28
    109 6
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
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