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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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
  • High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers

    Valerio Grazioso, Carlo Scalo, Giuseppe de Felice, Carlo Meola
    2021-01-21
    40284 4016 Pages:370-388
  • 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
  • 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 Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

    Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan
    2018-05-05
    44688 5340 Pages:1-22
  • Analysis and Invariant Properties of a Lattice Boltzmann Method

    Michael Junk, Zhaoxia Yang
    2021-01-25
    40555 4052 Pages:640-669
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36315 2910 Pages:1315-1334
  • 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
  • Lattice Boltzmann Simulation of Free-Surface Temperature Dispersion in Shallow Water Flows

    Mohammed Seaïd, Guido Thömmes
    2018-08-10
    41327 3828 Pages:415-437
  • Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow

    Zhaoli Guo, Kun Xu
    2018-08-10
    40725 3865 Pages:391-401
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    40770 3740 Pages:319-340
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • 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
  • A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

    Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
    2018-03-30
    42108 3086 Pages:180-195
  • 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
  • A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study

    Zhengzheng Yan, Dandan Shang, Jingzhi Li, Rongliang Chen
    2022-08-08
    304549 3930 Pages:1225-1245
  • 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 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 Novel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary

    Jingyang Wang, Chunhua Zhou
    2020-10-20
    49962 4605 Pages:83-100
  • Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

    Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang
    2021-04-13
    44530 3137 Pages:942-965
  • A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

    Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley
    2018-09-17
    46432 4665 Pages:261-274 Open-access
  • 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
  • Hopf Bifurcations, Drops in the Lid-Driven Square Cavity Flow

    Salvador Garcia
    2018-08-10
    92 51 Pages:546-572
  • Hopf Bifurcations, Drops in the Lid-Driven Square Cavity Flow

    Salvador Garcia
    2018-08-10
    39995 3786 Pages:546-572
  • 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
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