A Comparison of Low-Order DNS, High-Order DNS and LES
- 330 Downloads
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.
KeywordsDirect Numerical Simulation Finite Volume Method Truncation Error Central Plane Richardson Extrapolation
Unable to display preview. Download preview PDF.
- 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
- 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
- Rai M. and Moin P. (1989) On direct simulations of turbulent flow using finite-difference schemes, AIAA-89-0369.Google Scholar
- 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
- 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