2008/09/18 by N. Cardoso, Nuno Vieira Cardoso, Cardoso, N. +3
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.0809.3098
20 pages, 11 figures, 2 tables. We changed the algorithm, from first order to fourth order temporal accuracy as well as the stream equation, therefore the results and figures were updated and some figures are removed. We use GPU's, with double precision capabilities, to solve this problem
openalex publication_date 2008/09/18 · arxiv created 2009/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.