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Advances in Applied Mathematics and Mechanics
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  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

    Tiao Lu, Xingchun Yu, Wenqi Yao
    2025-11-22
    149 4
  • A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

    Di Zhou, Zhiliang Lu, Tongqing Guo
    2019-01-04
    47327 4389 Pages:168-196
  • Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center

    Hao Dong, Ziqiang Qin, Shicheng Liu, Yao Li, Yingying Shen, Haibo Wang, Yitong Zong, Xiaojun Wu, Haiqing Si
    2019-01-04
    46663 4840 Pages:91-107
  • Influence of Magnetic Force on the Flow Stability in a Rectangular Duct

    Rahman Anisur, Wenqian Xu, Kunhang Li, Hua-Shu Dou, Boo Cheong Khoo, Jie Mao
    2019-01-04
    47531 4746 Pages:24-37
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    42489 4559 Pages:187-212 Open-access
  • A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows

    L. M. Yang, C. Shu, J. Wu
    2021-07-01
    44689 4231 Pages:887-910
  • Numerical Simulations of Two Coaxial Vortex Rings Head-on Collision

    Hui Guan, Zhi-Jun Wei, Elizabeth Rumenova Rasolkova, Chui-Jie Wu
    2018-05-05
    41546 3029 Pages:616-647
  • A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

    Yu Sun, Shu Chang, Liming Yang, C. J. Teo
    2018-05-05
    43082 3014 Pages:703-721
  • Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes

    Wang Kong, Zhenying Hong, Guangwei Yuan, Zhiqiang Sheng
    2022-12-13
    39083 4971 Pages:402-427
  • Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

    Mani Sankar
    2021-07-01
    40641 4093 Pages:763-783
  • A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations

    Changqiu Jin, Kun Xu, Songze Chen
    2021-07-01
    40338 3974 Pages:746-762
  • Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes

    Shiquan Zhang, Xiaoping Xie
    2018-11-01
    40024 3615 Pages:333-354
  • Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow

    L. J. Amoreira, P. J. Oliveira
    2019-02-13
    42975 3814 Pages:483-502
  • Natural Convection Cooling of an Array of Flush Mounted Discrete Heaters Inside a 3D Cavity

    V. P. M. Senthil Nayaki, S. Saravanan, X. D. Niu, P. Kandaswamy
    2018-08-04
    41683 2966 Pages:698-721
  • Development of Lattice Boltzmann Flux Solver for Simulation of Incompressible Flows

    C. Shu, Y. Wang, C. J. Teo, J. Wu
    2014-06-01
    44549 4558 Pages:436-460
  • Wave Interaction with an Emerged Porous Media

    I. Magdalena, S. R. Pudjaprasetya, L. H. Wiryanto
    2014-06-01
    42837 4267 Pages:680-692
  • Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

    Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon
    2011-03-01
    40385 4038 Pages:519-561
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    40575 4241 Pages:340-353
  • 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 High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41216 4342 Pages:617-635
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    49800 4422 Pages:275-298
  • Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

    Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li
    2021-06-08
    45160 3187 Pages:1203-1226
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