WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Numerical Investigation on Shear Driven Cavity Flow by the Constrained Interpolated Profile Lattice Boltzmann Method
Authors: , ,
Abstract: In this paper, we proposed a combination of lattice Boltzmann and finite difference schemes to simulate an incompressible fluid flow problem. Our model applies the constrained interpolated profile method to solve the advection term in the governing lattice Boltzmann equation. Compared with the conventional lattice Boltzmann scheme, the current scheme is more accurate. In addition, the proposed model requires less mesh size for the computational at various conditions compared to other lattice Boltzmann models. Simulation of lid-driven cavity flow whose Reynolds number up to 1000 were carried out in order to validate the proposed approach. Numerical results show excellent agreement with those obtained by the conventional computational fluid dynamics approaches. We then extend our computation on the behavior of vortex inside a shallow lid-driven cavity flow at various aspect ratios. We found that the formation, strength and size of primary and secondary vortices are significantly affected by the value of aspect ratio and Reynolds numbers. Good comparisons were obtained when the results are compared with those published in the literature. This indicates that the proposed approach is a reliable alternative computational scheme in predicting various types of fluid flow problem.
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Keywords: lattice Boltzmann, distribution function, BGK collision, constrained interpolated profile, lid-driven cavity flow