Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique

In the present study, numerical simulations of two-dimensional steady-state incompressible Newtonian fluid flow in one-sided square and two-sided deep lid driven cavities under the aspect ratio K = ۱, ۴, ۶ are reported. For the one-sided lid driven cavity, the upper wall is moved to the right with up to ۵۰۰۰ Reynolds numbers under a grid size of up to ۵۰۱×۵۰۱. This lends support to previous findings in the literature with Ghia et al.s results. Three cases are used in this article for the two-sided deep lid driven square cavity specifically. In these cases, the top and lower walls are moved to the right, while the left and right walls remain fixed up to at high Reynolds numbers (۵۰۰۰) under the grid size of up to ۲۰۱×۲۰۱. All possible flow solutions are studied in the present article, and flow bifurcation diagrams are constructed as velocity profiles and streamline contours for the same Reynolds number using a finite volume SIMPLE technique. The work done in this paper includes flow properties such as the location of primary and secondary vortices, velocity components, and numerical values for benchmarking purposes, and it is in excellent agreement with previous findings in the literature. A PARAM Shavak, high-performance computing (HPC) computer, was used to execute the calculations.

Keywords:

partial differential equations , Navier-Stokes equations , Incompressible flow , Lid-driven cavity , Finite volume technique , Boundary value problems