Numerical analysis of 2D incompressible flows in U-shaped cavity using lattice Boltzmann method

Abstract

The focus of this manuscript is on the numerical analysis of incompressible flows in a two-dimensional U-shaped cavity using the Lattice Boltzmann method (LBM). The U-shaped cavity is the fluid flow problem wherein there are top moving lids and three stationary walls. To understand the fluid flow characteristics within the cavity, the different values of Reynold's numbers are studied, subsequently changing the boundary conditions, thereby obtaining relevant results. The present work considers the same wall motion in the positive and negative directions with a uniform velocity. The pictorial representations of the streamline patterns, pressure, and velocity contours have been focused on different values of Reynolds number, and subtle differences are observed in the results. The current mesoscopic lattice Boltzmann approach is used to anticipate simulations that span the complete range of flow physics, allowing access to nearly every field of engineering simulation required for the design and simulation process. The FVM-based ANSYS-FLUENT software is used for the comparison of results. It can be concluded that the U-shaped cavity is a major problem that enhances one's understanding of the nature of fluid flow characteristics. © 2023 Author(s).