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Advances in Applied Mathematics and Mechanics
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  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55158 3150 Pages:437-458
  • 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
  • Lattice Boltzmann Simulation of Free-Surface Temperature Dispersion in Shallow Water Flows

    Mohammed Seaïd, Guido Thömmes
    2018-08-10
    41327 3828 Pages:415-437
  • A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

    Amer Alizadeh, Moran Wang
    2019-01-11
    45285 4577 Pages:312-337 Open-access
  • 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
  • Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction

    Ning Gu, Zhiliang Lu, Tongqing Guo
    2012-04-01
    41516 4395 Pages:294-310
  • 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
  • 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
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    39423 3972 Pages:798-809
  • Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

    Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li
    2023-02-24
    38246 3224 Pages:769-785
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

    Shujie Li, Lili Ju
    2023-02-24
    37719 3196 Pages:814-830
  • 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
  • Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

    Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi
    2025-05-12
    8819 543 Pages:1037-1062
  • Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

    Liang Ge, Haifeng Niu, Jianwei Zhou
    2021-11-18
    49789 4381 Pages:33-55
  • A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

    Kangrui Zhou, Yueqiang Shang
    2021-07-01
    47585 4163 Pages:1438-1456
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow

    Yirong Wu, Heyu Wang
    2018-08-04
    41428 3021 Pages:742-756
  • 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
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • 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
  • 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
  • Computation of Interactional Forces Between Two Submerged Bodies in an Overtaking Maneuver

    Lin Chen, Huaming Wang, Xiaokun Qu, Zhiming Yuan, Qiaorui Wu
    2020-01-17
    46816 3285 Pages:319-335
  • Numerical Simulation of Hose Whip Phenomenon in Hose-Drogue Aerial Refueling

    Lele Chen, Xueqiang Liu, Ning Qin
    2018-09-17
    45635 3143 Pages:517-528
  • 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
  • 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
  • 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
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