Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 2 2, 2003, Pages

  Taylor, Mark A ^a   Kurien, Susan ^b   Eyink, Gregory L ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FOURIER TRANSFORMS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; RANDOM PROCESSES; REYNOLDS NUMBER; RUNGE KUTTA METHODS; VECTORS;

ANGLE AVERAGING TECHNIQUE; DIRECT NUMERICAL SIMULATIONS; INCOMPRESSIBLE FLUID; KOLMOGOROV PREDICTION; WAVE NUMBER;

TURBULENCE;

EID: 42749099856     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 32, 16 (1941)
2. A.N. Kolmogorov, Proc. R. Soc. London, Ser. A 434, 15 (1991).
3. Monin and Yaglom, Statistical Fluid Mechanics II (Cambridge University Press, Cambridge, 1975).
4. K.R. Sreenivasan, S.I. Vainshtein, R. Bhiladvala, I. SanGil, S. Chen, and N. Cao, Phys. Rev. Lett. 77, 1488 (1996).
5. B. Dhruva, Ph.D thesis, Yale University, 2001.
6. T. Gotoh, D. Fukayama, and T. Nakano, Phys. Fluids 14, 1065 (2002).
7. Q. Nie and S. Tanveer, Proc. R. Soc. London, Ser. A 455, 1615 (1999).
8. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University, Cambridge, 1995).
9. I. Arad, B. Dhruva, S. Kurien, V.S. L'vov, I. Procaccia, and K.R. Sreenivasan, Phys. Rev. Lett. 81, 5330 (1998).
10. S. Kurien, V.S. L'vov, I. Procaccia, and K.R. Sreenivasan, Phys. Rev. E 61, 407 (2000).
11. I. Arad, L. Biferale, I. Mazzietelli, and I. Procaccia, Phys. Rev. Lett. 82, 5040 (1999).
12. L. Biferale, D. Lohse, I.M. Mazzitelli, and P. Toschi, J. Fluid Mech. 452, 39 (2002).
13. J. Duchon and R. Robert, Nonlinearity 13, 249 (2000).
14. G.L. Eyink, Nonlinearity 16, 137 (2003).
15. S. Kurien and K.R. Sreenivasan, Phys. Rev. E 62, 2206 (2000).
16. I. Arad, V.S. L'vov, and I. Procaccia, Phys. Rev. E 59, 6753 (1999).
17. S. Kurien and K.R. Sreenivasan, in New Trends in Turbulence, Proceedings of the Les Houches Summer School, Les Houches, 2000, edited by M. Lesieur, A. Yaglom, and F. David (Springer-Verlag, Berlin, 2001), pp. 53-109.
18. M.R. Overholt and S.B. Pope, Comput. Fluids 27, 11 (1998).
19. N.P. Sullivan, S. Mahalingam, and R.M. Kerr, Phys. Fluids 6, 1612 (1994).
20. R. Renka, ACM Trans. Math. Softw. 23, 416 (1997). See also http://www.math.iastate.edu/burkardt/f_src/stripack/stripack.html