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Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows

Received: 23 September 2017     Accepted: 24 October 2017     Published: 20 November 2017
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Abstract

The present work investigates the accuracy of the Multiple-relaxation-time Lattice Boltzmann Method (MRT LBM) in the simulation of flows with circulation. The flow in a 2Dlid-driven cavity is simulated using MRT LBM for a wide range of Reynolds numbers (100-1000) to assess its accuracy. The lid-driven cavity flow is selected because it is the standard benchmark problem for the testing of numerical methods. The calculated locations of the primary vortex center in addition to those of the two side vortices (lower-left and lower-right) are compared to the previously published results using different numerical techniques such as finite difference, finite element and single-relaxation-time LBM. The horizontal and vertical velocity profiles are also calculated. The results show that the MRT LBM has a superior accuracy compared to other numerical techniques especially for circulating flows.

Published in Mathematical Modelling and Applications (Volume 2, Issue 5)
DOI 10.11648/j.mma.20170205.11
Page(s) 47-51
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Multiple-Relaxation-Time, Numerical Accuracy, Lattice Boltzmann Method, Circulating Flow, Lid-Driven Cavity Flow

References
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Cite This Article
  • APA Style

    Mohammed Ahmed Boraey. (2017). Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows. Mathematical Modelling and Applications, 2(5), 47-51. https://doi.org/10.11648/j.mma.20170205.11

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    ACS Style

    Mohammed Ahmed Boraey. Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows. Math. Model. Appl. 2017, 2(5), 47-51. doi: 10.11648/j.mma.20170205.11

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    AMA Style

    Mohammed Ahmed Boraey. Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows. Math Model Appl. 2017;2(5):47-51. doi: 10.11648/j.mma.20170205.11

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  • @article{10.11648/j.mma.20170205.11,
      author = {Mohammed Ahmed Boraey},
      title = {Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows},
      journal = {Mathematical Modelling and Applications},
      volume = {2},
      number = {5},
      pages = {47-51},
      doi = {10.11648/j.mma.20170205.11},
      url = {https://doi.org/10.11648/j.mma.20170205.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20170205.11},
      abstract = {The present work investigates the accuracy of the Multiple-relaxation-time Lattice Boltzmann Method (MRT LBM) in the simulation of flows with circulation. The flow in a 2Dlid-driven cavity is simulated using MRT LBM for a wide range of Reynolds numbers (100-1000) to assess its accuracy. The lid-driven cavity flow is selected because it is the standard benchmark problem for the testing of numerical methods. The calculated locations of the primary vortex center in addition to those of the two side vortices (lower-left and lower-right) are compared to the previously published results using different numerical techniques such as finite difference, finite element and single-relaxation-time LBM. The horizontal and vertical velocity profiles are also calculated. The results show that the MRT LBM has a superior accuracy compared to other numerical techniques especially for circulating flows.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Assessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows
    AU  - Mohammed Ahmed Boraey
    Y1  - 2017/11/20
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    N1  - https://doi.org/10.11648/j.mma.20170205.11
    DO  - 10.11648/j.mma.20170205.11
    T2  - Mathematical Modelling and Applications
    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
    SP  - 47
    EP  - 51
    PB  - Science Publishing Group
    SN  - 2575-1794
    UR  - https://doi.org/10.11648/j.mma.20170205.11
    AB  - The present work investigates the accuracy of the Multiple-relaxation-time Lattice Boltzmann Method (MRT LBM) in the simulation of flows with circulation. The flow in a 2Dlid-driven cavity is simulated using MRT LBM for a wide range of Reynolds numbers (100-1000) to assess its accuracy. The lid-driven cavity flow is selected because it is the standard benchmark problem for the testing of numerical methods. The calculated locations of the primary vortex center in addition to those of the two side vortices (lower-left and lower-right) are compared to the previously published results using different numerical techniques such as finite difference, finite element and single-relaxation-time LBM. The horizontal and vertical velocity profiles are also calculated. The results show that the MRT LBM has a superior accuracy compared to other numerical techniques especially for circulating flows.
    VL  - 2
    IS  - 5
    ER  - 

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Author Information
  • Mechanical Power Engineering Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt

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