Vortex Structures in Three-Dimensional Turbulent Lid-Driven Cavity Flow

In this paper simulation of a three-dimensional turbulent lid-driven cavity (LDC) flow has been performed using the multiple relaxation time lattice Boltzmann method (MRT LBM). In this case a LDC flow at a Reynolds number of Re = 10,000 was simulated without numerical instability. For the turbulent regime, the flow field is characterized by a complex and compact vortex structure. The vortices were visualized using both the second invariant and Delta criterion. Proper orthogonal decomposition (POD) was also performed on the two dimensional fluctuating velocity fields on two different planes. The POD efficiently extracted the large-scale vortical motions. Analyses of the vortices using different approaches agree well with each other.