Abstract
Studying and modeling turbulence in wall-bounded flows is important in many engineering fields, such as transportation, power generation or chemical engineering. Despite its long history, it remains disputable even in its basic aspects and even if only simple flow types are considered. Focusing on the best studied flow type, which has also direct applications, we argue that not only its theoretical description, but also its experimental measurement and numerical simulation are objectively limited in range and precision, and that it is necessary to bridge gaps between parameter ranges that are covered by different approaches. Currently, this can only be achieved by expanding the range of numerical simulations, a grand challenge even for the most powerful computational resources just becoming available. The required setup and desired output of such simulations are specified, along with estimates of the computing effort on the NEC SX-8 supercomputer at HLRS.
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
Nikuradse, J.: Gesetzmäßigkeiten der turbulenten Strömung in glatten Rohren. Forschungsheft 359, Kaiser-Wilhelm-Institut für Strömungsforschung, Göttingen (1932)
Townsend, A.A.: The structure of turbulent shear flow. Cambridge University Press (1976)
Schlichting, H., Gersten, K.: Grenzschicht-Theorie, 9. bearbeitete und erweiterte Ausgabe, Springer, Berlin (1997)
Dean, R.B.: Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. J. Fluids Eng. Trans. ASME 100, 215–223 (1978)
Barenblatt, G.I., Chorin, A.J., Prostokishin, V.M.: Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Proc. Natl. Acad. Sci. USA 94, 773–776 (1997)
Zagarola, M.V., Smits, A.J.: Scaling of the mean velocity profile for turbulent pipe flow. Phys. Rev. Lett. 78(2), 239–242 (1997)
Moser, R., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to Reτ = 590. Phys. Fluids 11, 943–945 (1999)
Oberlack, M.: Similarity in non-rotating and rotating turbulent pipe flows. J. Fluid Mech. 379, 1–22 (1999)
Barenblatt, G.I., Chorin, A.J., Prostokishin, V.M.: Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. J. Fluid Mech. 410, 263–283 (2000)
Jiménez, J., Simens, M.P.: Low-dimensional dynamics of a turbulent wall flow. J. Fluid Mech. 435, 81–91 (2001)
Abe, H., Kawamura, H., Matsuo, Y.: Direct numerical simulation of a fully developed turbulent channel flow with respect to the Reynolds number dependence. Trans. ASME J. Fluids Eng. 123, 382–393 (2001)
Fischer, M., Jovanović, J., Durst, F.: Reynolds number effects in the near-wall region of turbulent channel flows. Phys. Fluids 13(6), 1755–1767 (2001)
Fischer, M.: Turbulente wandgebundene Strömungen bei kleinen Reynoldszahlen. Ph.D. Thesis, University Erlangen-Nürnberg (1999)
Zanoun, E.-S. M.: Answers to some open questions in wall-bounded laminar and turbulent shear flows. Ph.D. Thesis, University Erlangen-Nürnberg (2003)
Özyilmaz, N.: Turbulence statistics in the inner layer of two-dimensional channel flow. M.Sci. Thesis, University Erlangen-Nürnberg (2003)
Lammers, P.: Direkte numerische Simulation wandgebundener Strömungen kleiner Reynoldszahlen mit dem Lattice-Boltzmann-Verfahren. Ph.D. Thesis, University Erlangen-Nürnberg (2005)
Lekakis, I.: HWA measurements of developed turbulent pipe flow at Re = 50000. private communication (2002)
Lammers, P., Beronov, K.N., Brenner, G., Durst, F.: Direct simulation with the lattice Boltzmann code BEST of developed turbulence in channel flows. In: Wagner, S., Hanke, W., Bode, A., Durst F. (ed) High Performance Computing in Science and Engineering, Munich 2002. Springer, Berlin (2003)
Beronov, K.N., Durst, F.: On the difficulties in resolving the viscous sublayer in wall-bounded turbulence. In: Friedrich, R., Geutrs, B., Métais, O. (ed) Direct and Large-Eddy Simulation V. Springer, Berlin (2004)
Jiménez, J., del Álamo, J.C.: Computing turbulent channels at experimental Reynolds numbers. In Proc. 15. Austral. Fluid Mech. Conf. (www.aeromech.usyd.edu.au/15afmc/proceedings/), Sydney (2004)
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
Beronov, K.N., Durst, F., Özyilmaz, N., Lammers, P. (2006). Statistics and Intermittency of Developed Channel Flows: a Grand Challenge in Turbulence Modeling and Simulation. In: Resch, M., Bönisch, T., Benkert, K., Bez, W., Furui, T., Seo, Y. (eds) High Performance Computing on Vector Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35074-8_15
Download citation
DOI: https://doi.org/10.1007/3-540-35074-8_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29124-4
Online ISBN: 978-3-540-35074-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)