Late states of incompressible 2D decaying vorticity fields

Fluid Dynamics Research

Volumn 23, Issue 2, 1998, Pages 89-112

  Segre, Enrico ^a   Kida, Shigeo ^b  

^a POLITECNICO DI TORINO   (Italy)

^b NATIONAL INSTITUTE FOR FUSION SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY OF LIQUIDS; MATHEMATICAL MODELS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW;

TWO DIMENSIONAL TURBULENCE;

VORTEX FLOW;

DECAY; INCOMPRESSIBLE FLOW; TURBULENT FLOW; VORTICITY;

INCOMPRESSIBLE FLOW; TURBULENT FLOW; VORTICITY;

EID: 0032144291     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(97)00050-6     Document Type: Article

References (54)

1. Bartello, P., Warn, T., 1996. Self similarity of decaying two-dimensional turbulence. J. Fluid Mech. 326, 357-372.
2. Benzi, R., Patarnello, S., Santangelo, P., 1988. Self-similar coherent structures in two-dimensional decaying turbulence. J. Phys. A 21, 1221-1237.
3. Brachet, M.E., Meneguzzi, M., Politano, H., Sulem, P.L., 1988. The dynamics of freely decaying two dimensional turbulence. J. Fluid Mech. 194, 333-349.
4. Bretherton, F.P., Haidvogel, D.B., 1976. Two-dimensional turbulence above topography. J. Fluid Mech. 78(1), 129-154.
5. Caglioti, E., Lions, P.L., Marchioro, C., Pulvirenti, M., 1992. A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description. Commun. Math. Phys. 143, 501-525.
6. Campbell, L.J., O'Neil, K., 1991. Statistics of two-dimensional vortices and high energy vortex states. J. Statist. Phys. 65, 495-529.
7. Carnevale, G.F., 1982. Statistical features of the evolution of two-dimensional turbulence. J. Fluid Mech. 122, 143-153.
8. Carnevale, G.F., McWilliams, J.C., Pomeau, Y., Weiss, J.B., Young, W.R., 1991. Evolution of vortex statistics in two-dimensional turbulence. Phys. Rev. Lett. 66 (21), 2735.
9. Carnevale, G.F., McWilliams, J.C., Pomeau, Y., Weiss, J.B., Young, W.R., 1992. Rates, pathways, and end states of nonlinear evolution in decaying two-dimensional turbulence: scaling theory versus selective decay. Phys. Fluids A 4, 1314-1316.
10. Carnevale, G.F., Valus, G.K., 1990. Pseudo-advective relaxation to stable states of inviscid two-dimensional fluids. J. Fluid Mech. 213, 549-571.
11. Carton, X., Legras, B., 1994. The life-cycle of tripoles in two-dimensional incompressible flows. J. Fluid Mech. 267, 53-82.
12. Carton, X.J., 1992. On the merger of shielded vortices. Europhys. Lett. 18, 697-703.
13. Carton, X.J., Flierl, G.R., Polvani, L.M., 1989. The generation of tripoles from unstable axysymmetric isolated vortex structures. Europhys. Lett. 9, 339-344.
14. Chavanis, P.H., Sommeria, J., 1996. Classification of self-organized vortices in two-dimensional turbulence: the case of a bounded domain. J. Fluid Mech. 314, 267-297.
15. Chorin, A.J., 1994. Vorticity and Turbulence. Applied Mathematical Sciences. Vol. 103, Springer, Berlin.
16. Eyink, G.L., Spohn, H., 1993. Negative temperature states and large-scale, long lived vortices in two-dimensional turbulence. J. Statist. Phys. 70, 833-886.
17. Flor, J., van Heijst, G., 1996. Stable and unstable monopolar vortices in a stratified fluid. J. Fluid Mech. 311, 257.
18. Glasser, M.L., 1974. The evaluation of lattice sums. III. phase modulated sums. J. Math. Phys. 15 (2), 188-189.
19. Holm, D.D., Marsden, J.E., Ratiu, T., Weinstein, A., 1985. Nonlinear stability of fluid and plasma equilibria. Phys. Rep. 123 (1-2), 1-116.
20. Huang, X.P., Driscoll, C.F., 1994. Relaxation of 2d turbulence to a metaequilibrium near the minimum enstrophy state. Phys. Rev. Lett. 72 (14), 2187-2190.
21. Jimenez, X., 1994. Hyperviscous vortices. J. Fluid Mech. 279, 169-176.
22. Jüttner, B., Thess, A., Sommeria, J., 1995. On the symmetry of self-organized structures in two-dimensional turbulence. Phys. Fluids 7 (9), 2108-2110.
23. Jüttner, B., Thess, A., Turkington, B., 1996. Statistical mechanics of two-dimensional turbulence, preprint.
24. Kida, S., 1975. Statistics of the system of line vortices. J. Phys. Soc. Japan 39, 1395-1404.
25. Kida, S., 1985. Numerical simulation of two-dimensional turbulence with high-symmetry. J. Phys. Soc. Japan 54, 2840-2854.
26. Kida, S., Yamada, M., Ohkitani, K., 1988. The energy spectrum in the universal range of two-dimensional turbulence. Fluid Dyn. Res. 4, 271-301.
27. Kraichnan, R.H., 1967. Inertial ranges of two-dimensional turbulence. Phys. Fluids 10, 1417-23.
28. Kraichnan, R.H., 1971. Inertial-range transfer in two- and three-dimensional turbulence. J. Fluid Mech. 47, 525-35.
29. Kraichnan, R.H., Montgomery, D., 1980. Two-dimensional turbulence. Rep. Prog. Phys. 43, 547-619.
30. Leith, C.E., 1984. Minimum enstrophy vortices. Phys. Fluids 27, 1388-1395.
31. Matthaeus, W.H., Stribling, W.T., Martinez, D., Oughton, S., 1991. Selective decay and coherent vortices in two-dimensional incompressible turbulence. Phys. Rev. Lett. 66, 2731.
32. McIntyre, M.E., Shepherd, T.G., 1987. An exact local conservation theorem for finite-amplitude disturbances to non-parallel flows, with remarks on Hamiltonian structure and on Arnold's stability theorems. J. Fluid Mech. 181, 527-565.
33. McWilliams, J.C., 1984. The emergence of isolated coherent vortices in turbulent flows. J. Fluid Mech. 146, 21-43.
34. McWilliams, J.C., 1990. The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361-385.
35. Miller, J., Weichman, P.B., Cross, M.C., 1992. Statistical mechanics, Euler's equation and Jupiter's red spot. Phys. Rev. A 45(4), 2328-2359.
36. Montgomery, D., Joyce, G., 1974. Statistical mechanics of negative temperature states. Phys. Fluids 17, 1139-1145.
37. Montgomery, D., Shan, X., Matthaeus, W.H., 1993. Navier-Stokes relaxation to sinh-Poisson states at finite Reynolds numbers. Phys. Fluids A 5, 2207-2216.
38. Morel, Y.G., Carton, X.J., 1994. Multipolar vortices in two-dimensional incompressible flows. J. Fluid Mech. 267, 23-51.
39. Nycander, J., 1995. Existence and stability of stationary vortices in a uniform shear flow. J. Fluid Mech. 287, 119-132.
40. Pasmanter, R.A., 1994. On long-lived vortices in 2-d viscous flows, most probable states of inviscid 2-d flows and a soliton equation. Phys. Fluids 6, 1236-1242.
41. Pointin, Y.B., Lundgren, T.S., 1976. Statistical mechanics of two-dimensional vortices in a bounded container. Phys. Fluids 19, 1459-1470.
42. Rasmussen, J.J., Hesthaven, J.S., Schmidt, M.R., 1996. Dipolar vortices in two-dimensional flows. Math. Comput Simul. 40 (3/4), 207.
43. Riccardi, G., Piva, R., Benzi, R., 1995. A physical model for merging in two-dimensional decaying turbulence. Phys. Fluids 7, 3091-3104.
44. Robert, R., Sommeria, J., 1991. Statistical equilibrium states for two-dimensional flows. J. Fluid Mech. 229, 291-310.
45. Robert, R., Sommeria, J., 1992. Relaxation towards a statistical equilibrium state in two-dimensional perfect fluid dynamics. Phys. Rev. Lett. 69 (19), 2776.
46. Seyler, Jr., C.E., 1976. Thermodynamics of two-dimensional plasmas or discrete line vortex fluids. Phys. Fluids 19 (9), 1336-1341.
47. Sommeria, J., Staquet, C., Robert, R., 1991. Final equilibrium state of a two-dimensional shear layer. J. Fluid Mech. 233, 661.
48. Thess, A., Sommeria, J., Jüttner, B., 1994. Inertial organization of a two-dimensional turbulent vortex street. Phys. Fluids 6 (7), 2417-2429.
49. Ting, A.C., Chen, H.H., Lee, Y.C., 1987. Exact solutions of a nonlinear boundary value problem: the vortices of the two-dimensional sinh-Poisson equation. Physica D 26, 37-66.
50. Vallis, G.K., Carnevale, G.F., Young, W.R., 1989. Extremal energy properties and construction of stable solutions of the Euler equations. J. Fluid Mech. 207, 133-152.
51. van Groesen, E., 1988. Time asymptotics and the self-organization hypothesis for the 2-D Navier-Stokes equation. Physica A 148, 312.
52. van Heijst, G., Kloosterziel, R., Williams, C., 1991. Laboratory experiments on the tripolar vortex in a rotating fluid. J. Fluid Mech. 225, 301-331.
53. Weichman, P.B., 1993. Statistical mechanics, Euler's equation and Jupiter's red spot. In: F. et al. (Eds.), Nonlinear Waves and Weak Turbulence, Chapter 14, Birkhäuser, Basel, pp. 239-277.
54. Whitaker, N., Turkington, B., 1994. Maximum entropy states for rotating vortex patches. Phys. Fluids 6, 3963-3973.