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  • 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
    49869 3216 Pages:1012-1036
  • On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

    Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause & Nikolaus A. Adams
    2018-08-21
    53814 3202 Pages:846-876
  • High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

    Jiahong Cai, Shengye Wang, Wei Liu
    2024-03-13
    26048 2140 Pages:395-426
  • A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

    Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger
    2023-12-11
    32708 2551 Pages:1306-1331
  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40742 3109 Pages:878-898
  • Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-08
    41142 4566 Pages:162-181
  • Development of a Combined Compact Difference Scheme to Simulate Soliton Collision in a Shallow Water Equation

    Ching-Hao Yu & Tony Wen-Hann Sheu
    2018-04-03
    40661 3158 Pages:603-631
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou & Dong Liang
    2018-04-03
    41440 3197 Pages:411-441
  • New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

    Feng Shi, Guoping Liang, Yubo Zhao & Jun Zou
    2014-11-08
    41162 3874 Pages:1239-1262
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    47223 3031 Pages:1270-1331
  • Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

    T. V. S. Sekhar, B. Hema Sundar Raju & Y. V. S. S. Sanyasiraju
    2012-11-01
    39546 4278 Pages:99-113
  • Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

    Yangyang Cao, Alexander Kurganov, Yongle Liu
    2023-11-08
    30459 2555 Pages:993-1042
  • A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

    Abdullah Shah, Hong Guo & Li Yuan
    2018-04-11
    41461 3461 Pages:712-729
  • 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
    24880 2105 Pages:633-661
  • Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures

    Yue Zhang, Chuang Zhang, Xinliang Song, Zhaoli Guo
    2025-09-02
    198 41 Pages:383-419
  • A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

    Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu
    2021-07-01
    48944 3187 Pages:851-873
  • Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

    Wei Li, Pengzhan Huang, Yinnian He
    2021-05-25
    48989 3202 Pages:536-566
  • A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

    Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang
    2021-02-25
    45648 3385 Pages:1125-1151
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47156 3442 Pages:905-929
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    46890 4389 Pages:1-56
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

    Yanni Gao, Shuai Wang, Guangwei Yuan & Xudeng Hang
    2019-02-25
    45831 5007 Pages:135-159
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50135 5247 Pages:87-113
  • An Implicit Discrete Unified Gas-Kinetic Scheme for Simulations of Steady Flow in All Flow Regimes

    Dongxin Pan, Chengwen Zhong & Congshan Zhuo
    2019-01-10
    47381 3827 Pages:1469-1495
  • Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

    Seunggyu Lee & Junseok Kim
    2018-10-11
    44485 3425 Pages:448-460
  • A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

    Bin Lan, Zhiqiang Sheng & Guangwei Yuan
    2018-09-17
    44954 3659 Pages:1455-1476
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