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Validation of Lattice Boltzmann Method in Two and Three Dimensions

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Abstract:

Lattice boltzmann method (LBM) has emerged as a powerful numerical technique for simulating fluid flows due to its inherent simplicity and efficiency. In this paper we studied a convective heat transfer occurring naturally within a cubic enclosure differentially heated filled with air (Pr=0.71) to compare the obtained results with those obtained from the literature. For this a fortran code program utilized for simulating natural convective phenomena in two and three dimensions (2d and 3d LBM) considerate a single relaxation time LBM (SRT-LBM). The results are presented in terms of isotherms, velocity and average nusselt number. The verification of the lattice boltzmann method code shows a good agreement with the literature.

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Periodical:

Defect and Diffusion Forum (Volume 448)

Pages:

25-33

DOI:

https://doi.org/10.4028/p-qpY3bd

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Online since:

March 2026

Authors:

Karim Choukrallah*, Noureddine Abouricha, Mounia Achak, Mustapha El Alami

Keywords:

Cubic Cavity, Heat Transfer, Lattice Boltzmann Method, Natural Convection, Validation

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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