The vortices of two-dimensional turbulence

Journal of Fluid Mechanics

Volumn 219, Issue , 1990, Pages 361-385

  McWilliams, James C ^a  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED ANALYSIS; FLUID DYNAMICS; STATISTICAL METHODS;

AUTOMATED VORTEX CENSUSES; TWO DIMENSIONAL CALCULATIONS; VORTICES;

FLOW OF FLUIDS;

EID: 0025503360     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112090002981     Document Type: Article

References (28)

1. BABIANO, A., BASDEVANT, C., LEGRAS, B. &SADOURNY, R. 1987 Vorticity and passive-scalar dynamics in two-dimensional turbulence. J. Fluid Mech. 183, 379—397.
2. BASDEVANT, C., LEGRAS, B., SADOURNY, R.& BELAND, M. 1981 A study of barotropic model flows: intermittency, waves, and predictability. J. Atmos. Sci. 38, 2305–2326.
3. BATCHELOR, G. 1967 Introduction to Fluid Dynamics. Cambridge University Press, 615 pp.
4. BENZI, R., PALADIN, G., PATARNELLO, S., SANTANGELO, P. & VULPIANI, A. 1986 Intermittency and coherent structures in two-dimensional turbulence. J. Phys. A: Math. Gen. 19, 3771–3784.
5. BENZI, R., PATARNELLO, S. &SANTANGELO, P. 1988 Self-similar coherent structures in two-dimensional decaying turbulence. J. Phys. A: Math. Gen. 21, 1221–1237.
6. BRACHET, M., MENEGUZZI, M., POLITANO, H. &SULEM, P. 1988 The dynamics of freely decaying two-dimensional turbulence. J. Fluid Mech. 194, 333–349.
7. BRACHET, M., MENEGUZZI, M. & SULEM, P. 1986 Small-scale dynamics of the high Reynolds number two-dimensional turbulence. Phys. Rev. Lett. 57, 683–686.
8. CHANDRASEKAR, S. 1943 Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 1–89.
9. CHRISTIANSEN, J. &ZABUSKY, N. 1973 Instability, coalescence, and fission of finite-area vortex structures. J. Fluid Mech. 61, 219–243.
10. DRITSCHEL, D. 1988a Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophie flows. J. Fluid Mech. 191, 575–581.
11. DRITSCHEL, D., 1988b Strain-induced vortex stripping. In (ed. R. E. Caflisch), pp. 107–119. Soc. Ind. Appl. Math.
12. FORNBERG, B. 1978 A numerical study of 2D turbulence. J. Comput. Phys. 25, 1—31.
13. HERRING, J. &MCWILLIAMS, J. 1985 Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency. J. Fluid Mech. 153, 229–242.
14. KIDA, S. 1981 Motion of an elliptic vortex in a uniform shear flow. J. Phys. Soc. Japan 50, 3517–3520.
15. LAMB, H. 1932 Hydrodynamics. Dover, 738 pp.
16. LEITH, C. 1984 Minimum enstrophy vortices. Phys. Fluids 27, 1388–1395.
17. LESIEUR, M. 1987 Turbulence in Fluids. Martinus Nijhoff, 286 pp.
18. LILLY, D. 1969 Numerical simulation of two-dimensional turbulence. Phys. Fluids Suppl. II, 240–249.
19. MCWILLIAMS, J. 1983 On the relevance of two-dimensional turbulence to geophysical fluid motions. J. Mec., Num. Spec., pp. 83–97.
20. MCWILLIAMS, J. 1984 The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech. 146, 21–43.
21. MCWILLIAMS, J. 1990a Geostrophic vortices. In Proc. Intl School of Physics Enrico Fermi. Italian Physical Society (in press).
22. MCWILLIAMS, J. 1990b A demonstration of the suppression of turbulent cascades by coherent vortices in two-dimensional turbulence. Phys. Fluids A 2, 547–552.
23. MELANDER, M., MCWILLIAMS, J. &ZABUSKY, N. 1987 Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. J. Fluid Mech. 178, 137–159.
24. MOORE, D. &SAFFMAN, P. 1971 Structure of a line vortex in an imposed strain. In Aircraft Turbulence and its Detection, pp. 339–354. Plenum.
25. ORSZAG, S. 1971 Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations. Stud. Appl. Maths. L, 293–328.
26. RAYLEIGH, Lord 1880 On the stability, or instability of certain fluid motions. Proc. Lond. Math. Soc. 11, 57–70.
27. SANTANGELO, P., BENZI, R. &LEGRAS, B. 1989 The generation of vortices in high-resolution, two-dimensional, decaying turbulence and the influence of initial conditions on the breaking of self-similarity. Phys. Fluids A 1, 1027–1034.
28. WEISS, J. 1981 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. La Jolla Inst. Tech. Rep. LJI-TN-81-121.