Numerical analysis of fluid flows in L-Shaped cavities using Lattice Boltzmann method

Abstract

The current study explores the Two-Relaxation Time (TRT) model of lattice Boltzmann method to compute incompressible flows in L-shaped cavities. Numerical code validation of the developed code with previous results has been initially established. After establishing the credibility of the developed code, the flow characteristics in L-shaped cavities have been studied in detail by considering two kinds of wall motions: single-sided and two-sided (with parallel and anti-parallel wall motions). Additionally, Reynolds numbers and aspect ratios of the cavity are also appropriately changed to study the effects of these parameters on the flow characteristics. The inclusion of a corner in the L-shaped cavity has been found to result in interesting flow topologies, characterized by the presence of primary, secondary and wall eddies. Current numerical simulations reveal the centreline velocity profiles, flow structure and formation of vortices generated in L-shaped cavities to resemble the flow characteristics observed in deep cavities.

Keywords

• Lattice Boltzmann method
• Two-relaxation time (TRT)
• L-shaped cavity
• Aspect ratio
• Reynolds number