Abstract
In this paper we compare a second-order accurate finite volume method and a fourth-order approach for a direct numerical simulation of the flow in a cubical driven cavity at Re = 10, 000. Experimental results are available for comparison. The fourth-order method turns out to be the superior method. For a driven cavity with spanwise aspect ratio 0.5 at Re = 10, 000, along with experimental results also the results of a LES (with a dynamic mixed subgrid-scale model) are available. We will demonstrate the challenge of turbulence modelling by comparing this LES on a 64 × 64 × 32 grid, a fourth-order DNS on a 503 grid and an experiment. Finally, using the fourth-order simulation method, a DNS of a turbulent flow in a cubical cavity at Re = 50,000 is performed using a 1923 grid. Mean velocities, turbulence intensities and power spectra are computed.
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