Navier-Stokes Equations and High-Resolutions: Advancements in Accurate Incompressible Flow Simulations

Abstract

The lid-driven cavity serves as a standard test case for validating computational methods in fluid dynamics. This problem involves a 2D square cavity with a tangentially moving upper wall, resulting in a flow pattern characterized by a central vortex and smaller vortices in the corners. The Reynolds number significantly influences the size and number of vortices in the flow. This model showcases the process of defining appropriate boundary conditions for the lid-driven cavity problem using COMSOL Multiphysics. Furthermore, the model's results for the velocity profile, vortex size, and location were compared to a previously published study providing a basis for validating the accuracy and reliability of the computational approach. Increasing Reynolds numbers induced stronger vortices, enhanced flow mobility, and turbulence, resulting in the shifting positions of vortices within the lid-driven cavity, highlighting the significant influence of Reynolds number on fluid flow behaviour.