Abstract
The Navier—Stokes equations apply equally to turbulent or laminar flows. Their completeness for turbulence computation have yet to be fully tested, however. For the present we will assume that the equations are adequate. The computation of turbulent flows with the above equations is a difficult task since the fully unsteady nature of turbulence must be calculated even if one is interested only in the time-averaged quantities. As a result one is faced with the solution of the full equations for a range of spatial length scales. Calculations using the full equations are just beginning to be implemented on the computer and remain limited in application due to cost. In the next few years this should change, however. In the following pages some of the recent work in this area is outlined.
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
Bradshaw, P., Ferriss, D. H., and Atwell, N. P. J. Fluid Mech. 28, 593–616 (1967).
Bradshaw, P. Aero. J 76, 403–418, (1972).
Clark, R. A., Ferziger, J. H., and Reynolds, W. C. J. Fluid Mech 91, 1–16 (1979).
Daly, B. J., and Harlow, F. H. Phys. Fluid 13, 2634 (1970).
Deardorff, J. W. Workshop on Micrometeorology,pp. 271–311, American Meteorological Society, Boston(1973).
Deardorff, J. W. J. Fluid Mech 41, 453–480 (1970).
Deardorff, J. W. Boundary Layer Meteor. 7, 81–106 (1974a).
Deardorff, J. W. Boundary Layer Meteor. 7, 199–226 (1974b).
Deardorff, J. W. J. Atm. Sci 29, 91–115 (1972).
Donaldson, C. du P., and Rosenbaum, H. Calculation of Turbulent Shear Flows through Closure of the Reynolds Equations by Invariant Modeling, ARAP Inc. Rept. 127, Princeton, NJ (1968).
Donaldson, C. du P. Workshop on Micrometeorology, pp. 313–392, American Meteorological Society, Boston (1973).
Durst, F., Launder, B. E., Schmidt, F. W. and Whitelaw, J. H. (eds.) Turbulent Shear Flows I, Springer-Verlag, New York (1979).
Ferziger, J. H. AIAA J. 15, 1261–1267 (1977).
Gosman, A. D., Pun, W. M., Runchal, A. K., Spalding, D. B., and Wolfshtein, M. Y. Heat and Mass Transfer in Recirculating Flows, Academic Press, London (1969).
Grant, J. R., Innis, G. E., and Shaw, W. Y. A Computational Model for Turbulent Wake Flows in a Stratified Fluid, SAI Rept. 200–80–483–LJ, La Jolla, CA, August (1980).
Ha Minh, H., and Chassaing, P. Turbulent Shear Flows I, pp. 178–197, Springer-Verlag, Berlin, Heidelberg, New York (1979).
Hanjalic, K., and Launder, B. E. J. Fluid Mech 52, 609–638 (1972).
Harlow, F. H., and Nakayama, P. I. Phys. Fluids 10, 2323–2332 (1967).
Jones, W. P., and Launder, B. E. Int. J. Heat Mass Trans 15, 301–314 (1972).
Launder, B. E., and Spalding, D. B. Comp. Methods Appl. Mech. Eng 3, 269 (1974).
Launder, B. E., Reece, G. J., and Rodi, W. Progress in Development of a Reynolds Stress Turbulence Closure, Rept. HTS/73/31, Imperial College of London, December (1973).
Launder, B. E., Reece, G. J., and Rodi, W. J. Fluid Mech 68, 537 (1975).
Launder, B. E., and Morse, A. Turbulent Shear Flows I, pp. 279–294, Springer—Verlag, Berlin, Heidelberg, New York (1979).
Leslie, D. C., and Quarini, G. L. J. Fluid Mech 91, 65–91 (1979).
Love, M. D., and Leslie, D. C. Turbulent Shear Flows 1, pp. 353–369, Springer—Verlag, New York (1979).
Lumley, J. L., and Khajeh-Nouri, B. Proceedings of the 2nd IUGG-IUTAM Symposium on Atmospheric Diffusion, Academic Press, New York (1974); Adv. Geophys 18, 169–192 (1974).
McMillan, O. J., and Ferziger, J. H. AIAA Paper 79–0072, New Orleans (1979).
Mellor, G. L., and Herring, H. J. A Study of Turbulent Boundary Layer Models Part II, Sandia Corp., Rept. SC-CR-70–6125B, January (1971).
Mellor, G. L., and Yamada, T. J. Atm. Sci 31, 1791–1806 (1974).
Metcalfe, R. W., and Riley, J. J. In: Proceedings of the 7th International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics No. 141, pp. 279–284, Springer—Verlag, New York (1981).
Orszag, S., and Pao, Y. J. Adv. Geophys 18A, 225–236 (1974).
Orszag, S. A., and Patterson, G. S. In Statistical Models and Turbulence,Lecture Notes in Physics No. 12, pp. 127–147, Springer—Verglag, Berlin, Heidelberg, New York (1972).
Orszag, S. A. Phys. Fluids Suppl 12, 250–257 (1969).
Patterson, G. S., and Orszag, S. A. Phys. Fluids 14, 2538–2541 (1971).
Reynolds, W. C. Ann. Rev. Fluid Mech 8, 183–208 (1976).
Riley, J. J. and Metcalfe, R. W. AIAA Paper 80–0274, Pasadena (1980).
Rodi, W. The Prediction of Free Turbulent Boundary Layers by Use of a Two-Equation Model of Turbulence, PhD Thesis, University of London (1972).
Rodi, W. Turbulence Models and Their Application in Hydraulics, International Association for Hydraulic Research, Delft (1980). ( Contact W. Rodi, Univ. of Karlsruhe, Karlsruhe, West Germany. )
Rodi, W., and Spalding, D. B. Wärme und Stoffübertrag 3, 85 (1970).
Rodi, W. On the Equation Governing the Rate of Energy Dissipation Imperial College Rept. No. TM/TN/A/14, London (1971).
Rogallo, R. S. An ILLIAC Program for the Numerical Simulation of Homogenous Incompressible Turbulence NASA Document No. NASA TM-73, 203 (1977).
Rotta, J. C. Z. Phys 129, 547–572 (1951).
Saffman, P. G. Proc. R. Soc. Lond. A 317, 417–433 (1970).
Schumann, V., and Patterson, G. S. J. Fluid Mech 88, 711–735 (1978a).
Schumann, V., and Patterson, G. S. J. Fluid Mech. 88, 685–709 (1978b).
Smagorinski, J. Mon. Weather Rev 91, 94–165 (1963).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Peyret, R., Taylor, T.D. (1983). Turbulent-Flow Models and Calculations. In: Computational Methods for Fluid Flow. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85952-6_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-85952-6_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13851-8
Online ISBN: 978-3-642-85952-6
eBook Packages: Springer Book Archive