Advances in Fluid Mechanics VII 2008
DOI: 10.2495/afm080051
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Simulation of flow in two-sided lid-driven square cavities by the lattice Boltzmann method

Abstract: Due to the presence of corner eddies that change in number and pattern, the classical one-sided lid-driven cavity problem has been found to be particularly suitable to study various aspects of the performance of solution algorithms for incompressible viscous flows. More recently, the flow induced by the motion of two facing walls (two-sided lid-driven cavity) has also been investigated by Kuhlmann et al. For some aspect ratios this study demonstrates the existence of a multiplicity of solutions. However, for t… Show more

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Cited by 11 publications
(2 citation statements)
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References 8 publications
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“…Streamlines for the classical two-sided lid-driven square cavity problem (A=1, Re=10 3 : mesh 100x100,  max =155.5). Table I: Position of the primary and secondary vortices for the two-sided lid-driven square cavity and Re=10 3 : present mesh 100x100; * FDM results after Perumal and Dass (2008) As shown in Fig. 3, the present velocity profiles obtained with grids 100x100 and 200x200 are almost indistinguishable.…”
Section: Figurementioning
confidence: 80%
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“…Streamlines for the classical two-sided lid-driven square cavity problem (A=1, Re=10 3 : mesh 100x100,  max =155.5). Table I: Position of the primary and secondary vortices for the two-sided lid-driven square cavity and Re=10 3 : present mesh 100x100; * FDM results after Perumal and Dass (2008) As shown in Fig. 3, the present velocity profiles obtained with grids 100x100 and 200x200 are almost indistinguishable.…”
Section: Figurementioning
confidence: 80%
“…The present algorithm for the solution of the Navier Stokes in the presence of moving top and bottom walls was validated through comparison with analogous results available in the literature (well-defined benchmarks). In particular we have considered the simulations performed for the classical two-sided lid-driven square cavity (case with antiparallel wall motion and constant imposed velocity) by Perumal and Dass (2008) and Karmakar and Pandit (2015) and a representative value of the Reynolds number (Re=10 3 , see Figs. 2-3).…”
Section: Validationmentioning
confidence: 99%