Abstract
As mentioned at the very beginning there is far more to say about the difficulties rather than achievements when it comes to the basic aspects of the problem. All ideas/ theories, etc. proposed so far did fail falling into category of misconceptions and/or ill defined concepts, see Chap. 9 in Tsinober (An informal conceptual introduction to turbulence, 2009). We reiterate some main points with different more general accents. These are followed by some remarks on what next.
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
Notes
- 1.
Progress in numerical calculation brings not only great good but also awkward questions about the role of the human mind… The problem of formulating rules and extracting ideas from vast masses of computational or experimental results remains a matter for our brains, our minds (Zeldovich 1979).
There are essential differences between physical and numerical experiments. If underresolved the former still provide correct information which is a problem with the latter especially as concerns numerical errors sometimes interpreted as genuine chaos.
References
Frisch U (1995) Turbulence: the legacy of A.N. Kolmogorov. Cambridge University Press, Cambridge
Kraichnan RH, Chen S (1989) Is there a statistical mechanics of turbulence? Physica D 37:160–172
Liepmann HW (1979) The rise and fall of ideas in turbulence. Am Sci 67:221–228
Monin AS, Yaglom AM (1971) Statistical fluid mechanics, vol 1. MIT Press, Cambridge
Novikov EA (1974) Statistical irreversibility of turbulence. Arch Mech 4:741–745
Novikov EA (1990a) The effects of intermittency on statistical characteristics of turbulence and scale similarity of breakdown coefficients. Phys Fluids A 2:814–820
Palmer T (2005) Global warming in a nonlinear climate—can we be sure? Europhys News March/April:42–46
Palmer T, Williams PD (2008) Introduction. Stochastic physics and climate modelling. Philos Trans R Soc Lond A 366:2421–2427
Saffman PG (1978) Problems and progress in the theory of turbulence. In: Fiedler H (ed) Structure and mechanics of turbulence, II. Lecture notes in physics, vol 76. Springer, Berlin, pp 274–306
She Z-S, Zhang Z-X (2009) Universal hierarchical symmetry for turbulence and general multi-scale fluctuation systems. Acta Mech Sin 25:279–294
Taylor GI (1938a) Production and dissipation of vorticity in a turbulent fluid. Proc R Soc Lond A 164:15–23
Taylor GI (1938b) The spectrum of turbulence. Proc R Soc Lond A 164:476–490
Tennekes H (1993) Karl Popper and the accountability of numerical weather forecasting. In: Workshop predictability and chaos in the geosciences, Boulder, 7–10 September 1993, pp 343–346
Tsinober A (2009) An informal conceptual introduction to turbulence. Springer, Berlin
Zeldovich YaB (1979) In: Barenblatt GI (ed) Similarity, self-similarity and intermediate asymptotics. Consultant Bureau, New York, p viii
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tsinober, A. (2014). On the Status. In: The Essence of Turbulence as a Physical Phenomenon. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7180-2_10
Download citation
DOI: https://doi.org/10.1007/978-94-007-7180-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-7179-6
Online ISBN: 978-94-007-7180-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)