Time dependent simulation of the Driven Lid Cavity at High Reynolds Number
Abstract
In this work, numerical solutions of the two dimensional time dependent incompressible flow, in a driven cavity at high Reynolds number Re, are presented. At high Re, there is a controversy. Some studies predicted that the flow is steady, others found time dependent non-steady flow, either periodic or aperiodic. In this study, the driven lid cavity is successfully solved using a very fine grid mesh, for Re up to 30 000. We discretize the Vorticity-Stream formulation of the Navier-Stokes equation with the SSPRK(5,4) scheme in a 1024×1024 grid. Using this very fine grid, the results obtained converge to a stationary solution. Detailed results for Re between 5 000 and 30 000 are presented. The driven lid cavity problem is solved with a NVIDIA GPU using the CUDA programming environment with double precision.