Large scale drag representation in simulations of two-dimensional turbulence

Physics of Fluids

Volumn 11, Issue 10, 1999, Pages 3043-3053

  Sukoriansky, Semion ^a   Galperin, Boris ^b   Chekhlov, Alexei ^c,d  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

^c PRINCETON UNIVERSITY   (United States)

^d Bank Paribas   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CASCADES (FLUID MECHANICS); COMPUTER SIMULATION; DRAG; MODAL ANALYSIS; STATISTICAL METHODS;

KOLMOGOROV-BATCHELOR-KRAICHNAN (KBK) DYNAMICS; SUPERGRID SCALE (SPGS) MODES;

TURBULENT FLOW;

EID: 0032613364     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870163     Document Type: Article

References (39)

1. G. K. Batchelor, "Computation of the energy spectrum in two-dimensional turbulence," Phys. Fluids 12, 233 (1967).
2. R. H. Kraichnan, "Inertial ranges in two-dimensional turbulence," Phys. Fluids 10, 1417 (1967).
3. S. Gama and U. Frisch, "Simulations of two-dimensional turbulence on the Connection machine," Advances in Turbulence IV, edited by F. T. M. Nieuwstadt, Appl. Sci. Res. 51, 105 (1993).
4. G. K. Vallis, "Problems and phenomenology in two-dimensional turbulence," in Nonlinear Phenomena in Atmospheric and Oceanic Sciences, edited by G. K. Carnevale and R. T. Pierrehumbert (Springer-Verlag, New York, 1992), pp. 1-25.
5. M. Lesieur, Turbulence in Fluids, 2nd ed. (Kluwer, New York, 1990).
6. A. Mirabel and A. Monin, "Two-dimensional turbulence," Uspechi Mechaniki 2, 47 (1979) (in Russian).
7. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1993).
8. J. Paret and P. Tabeling, "Experimental observation of the two-dimensional inverse energy cascade," Phys. Rev. Lett. 79, 4162 (1997).
9. V. Borue, "Inverse energy cascade in stationary two-dimensional homogeneous turbulence," Phys. Rev. Lett. 72, 1475 (1994).
10. D. G. Dritschel, "Vortex properties of two-dimensional turbulence," Phys. Fluids A 5, 984 (1993).
11. M. Hossain, W. H. Matthaeus, and D. Montgomery, "Long-time states of inverse cascades in the presence of a maximum length scale," J. Plasma Phys. 30, 479 (1983).
12. N. N. Kukharkin, "Coherent structure formation, phase correlations, and finite-size effects in 2D turbulence," J. Sci. Comput. 10, 409 (1995).
13. N. Kukharkin, S. A. Orszag, and V. Yakhot, "Quasicrystallization of vortices in drift-wave turbulence," Phys. Rev. Lett. 75, 2486 (1995).
14. L. M. Smith and V. Yakhot, "Bose condensation and small-scale structure generation in a random force driven 2D turbulence," Phys. Rev. Lett. 71, 352 (1993).
15. L. M. Smith and V. Yakhot, "Finite-size effects in forced two dimensional turbulence," J. Fluid Mech. 274, 115 (1994).
16. E. Hopfinger, F. Browand, and Y. Gagne, "Turbulence and waves in a rotating tank," J. Fluid Mech. 125, 505 (1982).
17. P. Tabeling, S. Bukhart, O. Cardoso, and H. Willaime, "Experimental study of freely decaying two-dimensional turbulence," Phys. Rev. Lett. 67, 3772 (1991).
18. B. Fornberg, "A numerical study of 2D turbulence," J. Comput. Phys. 25, 1 (1977).
19. C. Basdevant, B. Legras, B. Sadourny, and M. Béland, "A study of barotropic model flows: intermittency, waves and predictability," J. Atmos. Sci. 38, 2305 (1981).
20. J. C. McWilliams, "The emergence of isolated coherent vortices in turbulent flow," J. Fluid Mech. 146, 21 (1984).
21. B. Legras, P. Santangelo, and R. Benzi, "High-resolution numerical experiments for forced two-dimensional turbulence," Europhys. Lett. 5, 37 (1988).
22. J. R. Herring and R. M. Kerr, "Some contributions of two-point closure to large eddy simulation," in Large Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag (Cambridge University Press, Cambridge, 1993), pp. 79-104.
23. R. Benzi, R. Patarnello, and P. Santangelo, "On the statistical properties of two-dimensional decaying turbulence," Europhys. Lett. 3, 811 (1987).
24. R. Benzi, R. Patarnello, and P. Santangelo, "Self-similar coherent structures in two-dimensional decaying turbulence," J. Phys. A: Math. Gen. 21, 1221 (1988).
25. D. G. Dritschel, "A general theory for two-dimensional vortex interactions," J. Fluid Mech. 293, 269 (1995).
26. D. G. Dritschel, "On the persistence of nonaxisymmetric vortices in inviscid two-dimensional flows," J. Fluid Mech. 371, 141 (1998).
27. M. E. Maltrud and G. K. Vallis, "Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence," J. Fluid Mech. 228, 321 (1991).
28. R. H. Kraichnan, "Eddy viscosity in two and three dimensions," J. Atmos. Sci. 33, 1521 (1976).
29. A. Chekhlov, S. A. Orszag, S. Sukoriansky, B. Galperin, and I. Staroselsky, "The effect of small-scale forcing on large-scale structures in two-dimensional flows," Physica D 6, 2548 (1996).
30. J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed. (Springer-Verlag, New York, 1987).
31. A. Chekhlov, S. A. Orszag, S. Sukoriansky, B. Galperin, and I. Staroselsky, "Direct numerical simulation tests of eddy viscosity in two dimensions," Phys. Fluids 6, 2548 (1994).
32. I. Staroselsky and S. Sukoriansky, "Renormalization group approach to two-dimensional turbulence and the ε-expansion for the vorticity equation," in Advances in Turbulence Studies, edited by H. Branover and Y. Unger, Progress in Astron. and Aeron. (American Institute of Aeronautics and Astronautics, Inc., Washington, DC, 1993), Vol. 149, pp. 159-164.
33. S. Sukoriansky, A. Chekhlov, S. A. Orszag, B. Galperin, and I. Staroselsky, "Large eddy simulation of two-dimensional isotropic turbulence," J. Sci. Comput. 11, 13 (1996).
34. G. I. Sivashinsky, "Nonlinear analysis of hydrodynamic instability in laminar flames-I. Derivation of basic equations," Acta Astron. 4, 1177 (1977).
35. Y. Kuramoto and T. Tsuzuki, "Persistent propagation of concentration waves in dissipative media far from thermal equilibrium," Prog. Theor. Phys. 55, 365 (1976).
36. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, New York, 1984).
37. B. Dubrulle and U. Frisch, "The eddy-viscosity of parity-invariant flow," Phys. Rev. A 43, 5355 (1991).
38. S. Gama, U. Frisch, and H. Scholl, H. , "The two-dimensional Navier-Stokes equations with a large-scale instability of the Kuramoto-Sivashinsky type: numerical exploration on the Connection machine," J. Sci. Comput. 6, 425 (1991).
39. S. Gama, M. Vergassola, and U. Frisch, "Negative eddy viscosity in isotropically forced two-dimensional flow: Linear and nonlinear dynamics." J. Fluid Mech. 260, 95 (1994).