Simulation Of Flow In Two-sided
Lid-driven Square Cavities By The
Lattice Boltzmann Method
Author(s)
D. Arumuga Perumal & A. K. Dass
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 the aspect ratio of unity no multiplicity of
solutions has been observed. Also it is found that for parallel motion of the walls,
there appears a pair of counter-rotating secondary vortices of equal size near the
centre of a wall. Because of symmetry, this pair of counter-rotating vortices has
similar shapes and their detailed study as to how they grow with increasing
Reynolds number has not yet been made. Such a study is attempted in this paper
through the lattice Boltzmann method (LBM), as the problem has the potential of
being used for testing various solution methods for incompressible viscous
flows. The results for the antiparallel motion of the walls are also presented in
detail. As the problem has not been investigated before, to lend credibility to the
results they are further compared with those obtained from a finite difference
method (FDM) code developed for this purpose.
Keywords: two-sided lid-driven cavity, lattice Boltzmann method, finite
difference method, D2Q9 model, bounce-back boundary condition.
1 Introduction
A number of experimental and numerical studies have been conducted to
investigate the flow field of a lid-driven cavity flow in recent decades. Ghia et al.
Keywords
two-sided lid-driven cavity, lattice Boltzmann method, finite
difference method, D2Q9 model, bounce-back boundary condition.
Related Book
Other papers in this volume
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