New perspectives in turbulence

Quarterly of Applied Mathematics

Volumn 56, Issue 4, 1998, Pages 767-785

  Chorin, Alexandre J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLOW PATTERNS; VISCOSITY;

KARMAN-PRANDTL LOGARITHMIC LAW; KOLMOGOROV-OBUKHOV SCALING;

TURBULENCE;

EID: 0032290777     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1668737     Document Type: Review

References (35)

1. G. I. Barenblatt, Similarity, Self-Similarity and Intermediate Asymptotics, Consultants Bureau, NY, 1979; Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge Texts in Applied Mathematics, vol. 14, Cambridge University Press, Cambridge, 1996
2. G. I. Barenblatt, Similarity, Self-Similarity and Intermediate Asymptotics, Consultants Bureau, NY, 1979; Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge Texts in Applied Mathematics, vol. 14, Cambridge University Press, Cambridge, 1996
3. G. I. Barenblatt, On the scaling laws (incomplete self-similarity with respect to Reynolds number) in the developed turbulent flow in pipes, C. R. Acad. Sci. Paris, series II, 313, 3.9-3.12 (1991)
4. G. I. Barenblatt, Scaling laws for fully developed turbulent shear flows. Part 1: Basic hypotheses and analysis, J. Fluid Mech. 248, 513-520 (1993)
5. G. I. Barenblatt and A. J. Chorin, Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulence, Proc. Nat. Acad. Sciences USA 93, 6749-6752 (1996)
6. G. I. Barenblatt and A. J. Chorin, Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence, Comm. Pure Appl. Math. 50, 381-398 (1997)
7. G. I. Barenblatt and A. J. Chorin, Scaling laws and vanishing viscosity limits in turbulence theory, Proc. Venice Conf. in honor of P. Lax and L. Nirenberg, Proc. Sympos. Appl. Math., Vol. 54, Amer. Math. Soc., Providence, RI, 1998, pp. 1-25
8. G. I. Barenblatt and A. J. Chorin, New perspectives in turbulence: Scaling laws, asymptotics and intermittency, SIAM Rev. 40, 265-291 (1998)
9. G. I. Barenblatt and A. J. Chorin, A near-equilibrium statistical theory of turbulence with applications, in preparation, 1998
10. G. I. Barenblatt, A. J. Chorin, and V. M. Prostokishin, Scaling laws in fully developed turbulent pipe flow: Discussion of experimental data, Proc. Nat. Acad. Sciences USA 94a, 773-776 (1997)
11. G. I. Barenblatt, A. J. Chorin, and V. M. Prostokishin, Scaling laws in fully developed turbulent pipe flow, Appl. Mech. Rev. 50, 413-429 (1997)
12. G. I. Barenblatt, A. J. Chorin, O. H. Hald, and V. M. Prostokishin, Structure of the zero-pressure-gradient turbulent boundary layer, Proc. Nat. Acad. Sciences USA 94, 7817-7819 (1997)
13. G. I. Barenblatt and V. M. Prostokishin, Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data, J. Fluid Mech. 248, 521-529 (1993)
14. R. Benzi, C. Ciliberto, C. Baudet, and G. Ruiz Chavarria, On the scaling of three dimensional homogeneous and isotropic turbulence, Physica D 80, 385-398 (1995)
15. A. J. Chorin, Theories of turbulence, in Berkeley Turbulence Seminar, edited by P. Bernard and T. Ratiu, Springer, NY, 1977
16. A. J. Chorin, Vorticity and Turbulence, Springer, NY, 1994
17. A. J. Chorin, Turbulence as a near-equilibrium process, Lectures in Appl. Math. 31, 235-248 (1996)
18. A. J. Chorin, Turbulence cascades across equilibrium spectra, Phys. Rev. E 54, 2615-2619 (1996)
19. H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods, Applications to Physical Systems, part 2, Addison-Wesley, Reading, MA, 1988
20. P. Kailasnath, A. Migdal, K. Sreenivasan, V. Yakhot, and L. Zubair, The 5/4 Kolmogorov law and odd moments of the velocity difference in turbulence, unpublished, 1992
21. Th. von Kármán, Mechanische Aehnlichkeit und Turbulenz, Nach. Ges. Wiss. Goettingen Math-Phys. Klasse, 1932, pp. 58-76
22. A. N. Kolmogorov, Local structure of turbulence in incompressible fluid at a very high Reynolds number, Dokl. Acad. Sci. USSR 30, 299-302 (1941)
23. R. Kupferman and A. J. Chorin, Numerical study of the Kosterlitz-Thouless phase transition, submitted for publication, 1997
24. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press, New York, 1959
25. J. Miller, Statistical mechanics of the Euler equation in two dimensions, Phys. Rev. Lett. 65, 2137-2141 (1990)
26. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, Vol. 1, MIT Press, Boston, 1971
27. J. Nikuradze, Gesetzmaessigkeiten der turbulenten Stroemung in glatten Rohren, VDI Forschungheft, No. 3.8, 1932
28. A. M. Obukhov, Spectral energy distribution in turbulent flow, Dokl. Akad. Nauk USSR 1, 22-24 (1941)
29. L. Prandtl, Zur turbulenten Stroemung in Rohren und laengs Platten, Ergeb. Aerodyn. Versuch., Series 4, Goettingen, 1932
30. A. Praskovsky and S. Oncley, Measurements of the Kolmogorov constant and intermittency exponents at very high Reynolds numbers, Phys. Fluids A 7, 2778-2784 (1994)
31. H. Schlichting, Boundary Layer Theory, McGraw-Hill, NY, second edition, 1968
32. K. R. Sreenivasan, On the universality of the Kolmogorov constant, Phys. Fluids A 7, 2778-2784 (1995)
33. H. Tennekes and J. Lumley, A First Course in Turbulence, MIT Press, Cambridge, Mass., 1990
34. H. Weber and P. Minnhagen, Monte-Carlo determination of the critical temperature for the two-dimensional XY model, Phys. Rev. B 37, 5986-5989 (1988)
35. M. V. Zagarola, A. J. Smits, S. A. Orszag, and V. Yakhot, Experiments in high Reynolds number turbulent pipe flow, AIAA paper 96-0654, Reno, Nevada, 1996