Summary
Direct numerical simulation (DNS) of incompressible turbulent pipe flow was carried out on unstructured grids for a Reynolds number based on the friction velocity and the pipe diameter of Re τ = 360 using the spectral/hp element method (SEM) by Karniadakis and Sherwin [3]. The main objective was to investigate the computational aspects of this DNS with respect to accuracy, CPU time and memory requirements. DNS results of evaluated statistical moments of up to fourth order agree well with data from the literature. A conducted performance study reveals the computational requirements for DNS of turbulent flows using this SEM.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
AGARD Advisory Report No. 345. “A Selection of Test Cases for the Validation of Large-Eddy Simulations of Turbulent Flows”, 1998
F. Durst, J. Jovanovic, J. Sender. “Detailed measurements of the near wall region of turbulent pipe flows”. Proc. 9th Symp. on Turbulent Shear Flows, Kyoto, Japan, August 16-18, 2//2//1–2//2//6 (1993)
G.E. Karniadakis and S.J. Sherwin. “Speetral/hp Element Method for CFD”. Oxford University Press, 1999.
P. Loulou, R. Moser, N. Mansour, B. Cantwell. “Direct simulation of incompressible pipe flow using a b-spline spectral method”. Technical Report TM 110436, NASA, 1997.
C. Wagner, R. Friedrich. “On the turbulence structure in solid and permeable pipes”. International Journal of Heat and Fluid Flow, 19(1998), 459–469.
C. Wagner, U. Ch. Datlmaxm. “A direct Navier-Stokes solver for turbulent flows over round steps”, in: W. Nitsche, R. Hilbig (Eds.), 1999, New Results in Numerical and Experimental Fluid Mechanics, Contributions to the 11th AG-STAB/DGLR Symposium, Berlin, Germany, 1998, Vieweg-Verlag
P, Wesseling, A. Segal, J.J.I.M. van Kan, C.W. Oosterlee, C.G.M. Kassels. “Finite volume discretization of the incompressible Navier-Stokes equations in general coordinates on staggered grids”. Comp. Fluid Dynamics Journal, 16(1992), 27–33
J. Westerweel, R.J. Adrian, J.G.M. Eggels, F.T.M. Nieuwstadt. “Measurements with particle image velocimetry on fully developed turbulent pipe flow at low Reynolds number”. Proc. of the 6th Int. Syrup. on Applications of Laser Tech. to Fluid Mechanics, Lisbon, Portugal, July 20-23, 1993
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Shishkin, A., Wagner, C. (2006). Direct Numerical Simulation of a Turbulent Flow Using a Spectral/hp Element Method. In: Rath, HJ., Holze, C., Heinemann, HJ., Henke, R., Hönlinger, H. (eds) New Results in Numerical and Experimental Fluid Mechanics V. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33287-9_50
Download citation
DOI: https://doi.org/10.1007/978-3-540-33287-9_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33286-2
Online ISBN: 978-3-540-33287-9
eBook Packages: EngineeringEngineering (R0)