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Advances in Applied Mathematics and Mechanics
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  • 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
  • A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

    Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You
    2014-06-01
    43070 4465 Pages:637-662
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43524 4921 Pages:69-88
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • Investigation of Turbulent Transition in Plane Couette Flows Using Energy Gradient Method

    Hua-Shu Dou, Boo Cheong Khoo
    2018-08-10
    41798 4080 Pages:165-180
  • Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

    Ruigang Shen, Shi Shu, Ying Yang, Mingjuan Fang
    2021-07-01
    48478 4151 Pages:1353-1383
  • An Iterative Two-Grid Method of a Finite Element PML Approximation for the Two Dimensional Maxwell Problem

    Chunmei Liu, Shi Shu, Yunqing Huang, Liuqiang Zhong, Junxian Wang
    2018-08-10
    42270 4088 Pages:175-189
  • Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method

    Y. L. Wu, C. Shu, H. Ding
    2012-04-01
    40728 4180 Pages:311-324
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    43685 4155 Pages:1-29
  • A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

    B. Harikrishnan, Zhen Chen, Chang Shu
    2020-12-18
    61828 3975 Pages:261-284
  • A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

    Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
    2020-12-21
    46810 3272 Pages:671-700
  • Singularity of Navier-Stokes Equations Leading to Turbulence

    Hua-Shu Dou
    2020-12-21
    76238 3750 Pages:527-553
  • 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
  • Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method

    Yang Hu, Xiao-Dong Niu, Shi Shu, Haizhuan Yuan, Mingjun Li
    2013-05-01
    41800 4700 Pages:321-336
  • Analysis of Two-Phase Cavitating Flow with Two-Fluid Model Using Integrated Boltzmann Equations

    Shuhong Liu, Yulin Wu, Yu Xu, Hua-Shu Dou
    2013-05-01
    42840 4011 Pages:607-638
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • A Lattice Boltzmann Modeling Fluid-Structure Interaction Problems and Its Applications in Natural Convections in a Square Cavity with Particles Suspended Inside

    Mufeng Chen, Xiaodong Niu, H. Yamaguchi, Chang Shu
    2018-09-17
    45606 3207 Pages:275-300
  • A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2024-02-29
    27368 2583 Pages:738-770
  • 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
  • Particle Scale Numerical Simulation on Momentum and Heat Transfer of Two Tandem Spheroids: An IB-LBM Study

    Chunhai Ke, Shi Shu, Hao Zhang, Haizhuan Yuan
    2021-07-01
    48219 3991 Pages:1497-1526
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • 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
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • 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
  • 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
  • Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2023-10-11
    30629 2891 Pages:1456-1472
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