Lattice Boltzmann simulation of cavity flows at various Reynolds numbers

The lattice Boltzmann method (LBM) is a numerical method evolved from the statistical approach that has been well-accepted as an alternative numerical scheme for computational fluid dynamics (CFD). In comparison to other numerical schemes, the lattice Boltzmann method (LBM) can be regarded as a &quo...

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Main Authors: Mussa, M. A., Abdullah, S., Nor Azwadi, C. S., Zulkifli, R.
Format: Article
Published: Praise Worthy Prize 2011
Subjects:
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author Mussa, M. A.
Abdullah, S.
Nor Azwadi, C. S.
Zulkifli, R.
author_facet Mussa, M. A.
Abdullah, S.
Nor Azwadi, C. S.
Zulkifli, R.
author_sort Mussa, M. A.
collection ePrints
description The lattice Boltzmann method (LBM) is a numerical method evolved from the statistical approach that has been well-accepted as an alternative numerical scheme for computational fluid dynamics (CFD). In comparison to other numerical schemes, the lattice Boltzmann method (LBM) can be regarded as a "bottom-up" approach that derives the Navier-Stokes equation through statistical behavior of particle dynamics. Hence, this paper presents the simulation of lid-driven cavity for deep and shallow flow using the lattice Boltzmann method where the effect of the Reynolds number on the flow pattern at aspect ratios of 0.25, 0.5, 1.5 and 4.0 was studied. These types of flow exhibit a number of interesting physical features but are scarcely simulated using the LBM scheme. The source code was established based on the BGK model on rectangular lattice geometry. The comparison of the results was in excellent agreement with those gathered from the literature even with relatively coarse grids applied to the numerical calculation.
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spelling utm.eprints-450142017-09-27T01:48:50Z http://eprints.utm.my/45014/ Lattice Boltzmann simulation of cavity flows at various Reynolds numbers Mussa, M. A. Abdullah, S. Nor Azwadi, C. S. Zulkifli, R. QL Zoology The lattice Boltzmann method (LBM) is a numerical method evolved from the statistical approach that has been well-accepted as an alternative numerical scheme for computational fluid dynamics (CFD). In comparison to other numerical schemes, the lattice Boltzmann method (LBM) can be regarded as a "bottom-up" approach that derives the Navier-Stokes equation through statistical behavior of particle dynamics. Hence, this paper presents the simulation of lid-driven cavity for deep and shallow flow using the lattice Boltzmann method where the effect of the Reynolds number on the flow pattern at aspect ratios of 0.25, 0.5, 1.5 and 4.0 was studied. These types of flow exhibit a number of interesting physical features but are scarcely simulated using the LBM scheme. The source code was established based on the BGK model on rectangular lattice geometry. The comparison of the results was in excellent agreement with those gathered from the literature even with relatively coarse grids applied to the numerical calculation. Praise Worthy Prize 2011 Article PeerReviewed Mussa, M. A. and Abdullah, S. and Nor Azwadi, C. S. and Zulkifli, R. (2011) Lattice Boltzmann simulation of cavity flows at various Reynolds numbers. International Review on Modelling and Simulations (I.Re.Mo.S), 4 (4). pp. 1909-1919. ISSN 1974-9821
spellingShingle QL Zoology
Mussa, M. A.
Abdullah, S.
Nor Azwadi, C. S.
Zulkifli, R.
Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title_full Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title_fullStr Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title_full_unstemmed Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title_short Lattice Boltzmann simulation of cavity flows at various Reynolds numbers
title_sort lattice boltzmann simulation of cavity flows at various reynolds numbers
topic QL Zoology
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AT abdullahs latticeboltzmannsimulationofcavityflowsatvariousreynoldsnumbers
AT norazwadics latticeboltzmannsimulationofcavityflowsatvariousreynoldsnumbers
AT zulkiflir latticeboltzmannsimulationofcavityflowsatvariousreynoldsnumbers