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The vortices of two-dimensional turbulence

Published online by Cambridge University Press:  26 April 2006

James C. Mcwilliams
James C. Mcwilliams
Affiliation:
Geophysical Turbulence Program, National Center for Atmospheric Research, PO Box 3000, Boulder, CO 80307, USA
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Abstract

A solution of decaying two-dimensional turbulence at large Reynolds number is analysed by means of an automated vortex census. The census identifies the flow structures which approximately conform to the idealized shape of an isolated, coherent vortex. It also determines vortex characteristics, such as amplitude, size, radial profile, and deformation from the ideal axisymmetric shape. The distributions of these characteristics within the vortex population are examined, as are their time evolutions. Interpretation of these distributions is made with reference to both the random initial conditions for the solution and the dynamical processes of vortex emergence, survival, and interaction.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 361 - 385
Copyright
© 1990 Cambridge University Press

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References

Babiano, A., Basdevant, C., Legras, B. & Sadourny, R., 1987 Vorticity and passive-scalar dynamics in two-dimensional turbulence. J. Fluid Mech. 183, 379–397.Google Scholar
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.Google Scholar
Batchelor, G.: 1967 Introduction to Fluid Dynamics. Cambridge University Press. 615 pp.
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.Google Scholar
Benzi, R., Patarnello, S. & Santangelo, P., 1988 Self-similar coherent structures in two-dimensional decaying turbulence. J. Phys. A: Math. Gen. 21, 1221–1237.Google Scholar
Brachet, M., Meneguzzi, M., Politano, H. & Sulem, P., 1988 The dynamics of freely decaying two-dimensional turbulence. J. Fluid Mech. 194, 333–349.Google Scholar
Brachet, M., Meneguzzi, M. & Sulem, P., 1986 Small-scale dynamics of the high Reynolds number two-dimensional turbulence. Phys. Rev. Lett. 57, 683–686.Google Scholar
Chandrasekar, S.: 1943 Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 1–89.Google Scholar
Christiansen, J. & Zabusky, N., 1973 Instability, coalescence and fission of finite-area vortex structures. J. Fluid Mech. 61, 219–243.Google Scholar
Dritschel, D.: 1988a Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity and the analogous three-dimensional quasi-geostrophic flows. J. Fluid Mech. 191, 575–581.Google Scholar
Dritschel, D.: 1988b Strain-induced vortex stripping. In Mathematical Aspects of Vortex Dynamics (ed. R. E. Caflisch), pp. 107–119. Soc. Ind. Appl. Math.
Fornberg, B.: 1978 A numerical study of 2D turbulence. J. Comput. Phys. 25, 1–31.Google Scholar
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.Google Scholar
Kida, S.: 1981 Motion of an elliptic vortex in a uniform shear flow. J. Phys. Soc. Japan 50, 3517–3520.Google Scholar
Lamb, H.: 1932 Hydrodynamics. Dover, 738 pp.
Leith, C.: 1984 Minimum enstrophy vortices. Phys. Fluids 27, 1388–1395.Google Scholar
Lesieur, M.: 1987 Turbulence in Fluids. Martinus Nijhoff, 286 pp.
Lilly, D.: 1969 Numerical simulation of two-dimensional turbulence. Phys. Fluids Suppl. II, 240–249.Google Scholar
Mcwilliams, J.: 1983 On the relevance of two-dimensional turbulence to geophysical fluid motions. J. Méc., Num. Spéc., pp. 83–97.Google Scholar
Mcwilliams, J.: 1984 The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech. 146, 21–43.Google Scholar
Mcwilliams, J.: 1990a Geostrophic vortices. In Proc. Intl School of Physics Enrico Fermi. Italian Physical Society (in press).
Mcwilliams, J.: 1990b A demonstration of the suppression of turbulent cascades by coherent vortices in two-dimensional turbulence. Phys. Fluids A 2, 547–552.Google Scholar
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.Google Scholar
Moore, D. & Saffman, P., 1971 Structure of a line vortex in an imposed strain. In Aircraft Turbulence and its Detection, pp. 339–354. Plenum.
Orszag, S.: 1971 Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations. Stud. Appl. Maths. L, 293–328.Google Scholar
Rayleigh, Lord: 1880 On the stability, or instability of certain fluid motions. Proc. Lond. Math. Soc. 11, 57–70.Google Scholar
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.Google Scholar
Weiss, J.: 1981 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. La Jolla Inst. Tech. Rep. LJI-TN-81-121.Google Scholar