A long range spherical model and exact solutions of an energy enstrophy theory for two-dimensional turbulence

Physics of Fluids

Volumn 13, Issue 7, 2001, Pages 1961-1973

  Lim, Chjan C ^a,b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FREE ENERGY; HAMILTONIANS; MATHEMATICAL MODELS; PHASE TRANSITIONS; STATISTICAL MECHANICS; VORTEX FLOW;

ENERGY ENSTROPHY THEORY; EULER EQUATIONS; POINT VORTEX DISCRETIZATION;

TURBULENCE;

EULER FLOW; TURBULENCE; TWO-DIMENSIONAL FLOW; VORTICITY;

EID: 0035398468     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1373682     Document Type: Article

References (50)

1. Computation of the energy spectrum in homogeneous 2D turbulence
2. Inertial ranges in 2D turbulence
3. Diffusion approximation for 2D turbulence
4. Statistical dynamics of two-dimensional flows
5. Dissipation, topography and statistical theories of large scale coherent structure
6. The spherical model of a ferromagnet
7. The 2D Coulomb gas, vortex unbinding, and superfluid-superconducting films
8. Statistical hydrodynamics
9. Geostrophic turbulence
10. Large scale 2-D turbulence in the atmosphere
11. -513 energy spectrum of atmospheric turbulence
12. Dirichlet quotients and periodic 2-D Navier-Stokes equations
13. One sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition
14. Partition functions and equilibrium measures in 2-D and quasi 3-D turbulence
15. A microscopic derivation of the equilibrium energy density spectrum for barotropic turbulence on a sphere
16. Exact solutions of the energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere
17. Statistical equilibrium measures and coherent states in two-dimensional turbulence
18. Exact solutions of nonlinear boundary value problems: The vortices of the sinh-Poisson equation
19. Relative equilibria of point vortices on a sphere
20. Turbulence statistics in fully developed channel flow at low Re numbers
21. On some statistical properties of hydrodynamical and magnetohydrodynamical fields
22. Statistical mechanics of two-dimensional vortices
23. Statistical mechanics of negative temperature states
24. Statistics of 2-D point vortices and high energy vortex states
25. Phase transitions behaviour in negative temperature guiding center plasma
26. Geometric and analytical studies in turbulence
27. Scaling exponents in fluid turbulence: Some analytic results
28. Remarks on the breakdown of smooth solutions for the 3-D Euler equations
29. Representation of isotropic turbulence by scalar functions
30. An update on the intermittency exponent in turbulence
31. Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
32. Glass-like behaviour of a spherical with oscillatory long-range potential
33. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
34. Inviscid dynamics of 2D turbulence
35. Dynamics and statistics of a system of vortices
36. Statistical mechanics of Euler equations in two dimensions
37. Statistical equilibrium states for two-dimensional flows
38. An equilibrium statistical model for the spreading phase of open-ocean convection
39. A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
40. Mean field theory and coherent structures for point vortices on the plane
41. Erratum: Mean field theory and coherent structures for vortex dynamics on the plane
42. Point vortex dynamics for coupled surface interior potential vorticity QG and propagating heton clusters in models for open ocean convection
43. Vortex renormalization in three space dimensions
44. Spherical model as the limit of infinite spin dimensionality
45. Nonlinear stability of axisymmetric swirling flows