Computation of incompressible fluid flows in a single-sided cross-shaped lid-driven cavity using Lattice Boltzmann method

This work is an application of a novel Scientfic Computational algorithm, namely, Lattice Boltzmann method (LBM), which has recently been recognized due to two prominent features of its algorithm — simplicity and ability to be parallelized. To get an overview of its application, this study implements LBM with Single Relaxation time (SRT) model to compute the steady incompressible fluid flows in a single sided cross-shaped lid-driven cavity (SSC-LDC). Being categorized as a complex planar geometry of the lid-driven cavity, the code validation for this work is performed by comparing the results of a single sided lid driven cavity (SS — LDC) with benchmarks. The streamline patterns and centerline velocity profiles compared with published results are found to be in good accordance. After establishing the reliability of the code, the mathematical code is extended to simulate the fluid flow in the single-sided cross-shaped lid-driven cavity (SSC-LDC). To demonstrate the physical sense of the flows in SSC-LDC, the development and progress of primary and secondary vortices have also been well captured with the variation of Reynolds number.