Application of Lattice Boltzmann Method for fluid flow modelling of FSLDR domain

Abstract

In this work Lattice Boltzmann method is used to solve the Four Sided lid-driven rectangular cavity flow (FSLDR) problem. The fluid is considered as incompressible. In the present problem all the four walls moves with a constant velocity. The left wall moves in positive y-direction, the right wall moves in negative y-direction. The top wall moves in positive x-direction and the bottom wall moves in negative x-direction. The aspect ratio of the cavity taken is 0.50. The present code is validated for single lid-driven cavity flow problem. Next, the study is extended to FSLSR problem. The position of vortex obtained are studied at Reynolds number Re=50, 100, 500, 1000. In addition to the primary vortex, two secondary vortices are also obtained. Thus, the present study shows that Lattice Boltzmann Method can be used to capture the details of vortex dynamics © 2019 Elsevier Ltd.