A Comparison of Low-Order DNS, High-Order DNS and LES

  • R. W. C. P. Verstappen
  • A. E. P. Veldman
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 5)


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.


Direct Numerical Simulation Finite Volume Method Truncation Error Central Plane Richardson Extrapolation 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • R. W. C. P. Verstappen
    • 1
  • A. E. P. Veldman
    • 1
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

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