Advertisement

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)

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.

Keywords

Direct Numerical Simulation Finite Volume Method Truncation Error Central Plane Richardson Extrapolation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Fasel, H.F. (1990) Numerical simulation of instability and transition in boundary layer flows, Laminar-Turbulent Transition, D. Arnal & R. Michel (eds.). Springer-Verlag, Berlin.Google Scholar
  2. Harlow, F.H. and Welsh, J.E. (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Physics of Fluids, 8, pp. 2182–2189.ADSCrossRefzbMATHGoogle Scholar
  3. Joslin, R.D., Streett, C.L. and Chang, C.L. (1992) Validation of three-dimensional incompressible spatial direct numerical simulation code — a comparison with linear theory and parabolic stability equation theories for boundary layer transition on a flat plate, NASA Technical Paper 3205.Google Scholar
  4. Liu, Z. and Liu, C. (1994) Fourth order finite difference and multigrid methods for modeling instabilities in flat plate boundary layers — 2D and 3D approaches, Computers & Fluids, 7, pp. 955–982.CrossRefGoogle Scholar
  5. Prasad, A.K. and Koseff, J.R. (1989) Reynolds number and end-wall effects on a liddriven cavity flow, Physics of Fluids A, 1, pp. 208–218.ADSCrossRefGoogle Scholar
  6. Rai M. and Moin P. (1989) On direct simulations of turbulent flow using finite-difference schemes, AIAA-89-0369.Google Scholar
  7. Verstappen, R.W.C.P. and Veldman, A.E.P. (1994) Direct numerical simulation of a 3D turbulent flow in a driven cavity at Re=10,000, Computational Fluid Dynamics ’94, S. Wagner et al. (eds.), John Wiley & Sons, Chichester pp. 558–565.Google Scholar
  8. Verstappen, R.W.C.P. and Veldman, A.E.P. (1996) A fourth-order finite volume method for direct numerical simulation of turbulence at higer Reynolds numbers, Computational Fluid Dynamics ’96, J.A. Désidéri et al. (eds.), John Wiley & Sons, Chichester pp. 1073–1079.Google Scholar
  9. Zang, Y.Z., Street, R.L. and Koseff, J.R. (1993) A dynamic mixed subgrid-scale model and its application to turbulent recirculating flow, Physics of Fluids A, 5, pp. 3186–3196.ADSCrossRefGoogle Scholar

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

Personalised recommendations