Vortex crystals from 2D Euler flow: Experiment and simulation

Physics of Fluids

Volumn 11, Issue 4, 1999, Pages 905-914

  Schecter, D A ^a   Dubin, D H E ^a   Fine, K S ^a   Driscoll, C F ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001431536     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869961     Document Type: Article

References (40)

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12. D. Lynden-Bell, "Statistical mechanics of violent relaxation in stellar systems," Mon. Not. R. Astron. Soc. 136, 101 (1967); R. Robert and J. Sommeria, "Statistical equilibrium states for two-dimensional flows," J. Fluid Mech. 229, 291 (1991); J. Miller, P. B. Weichman, and M. C. Cross, "Statistical mechanics, Euler equations, and Jupiter's great red spot," Phys. Rev. A 45, 2328 (1992); A. Thess, J. Sommeria, and B. Jütner, "Inertial organization of a two-dimensional turbulent vortex street," Phys. Fluids 6, 2417 (1994); L. Onsager, "Statistical hydrodynamics," Nuovo Cimento Suppl. 6, 279 (1949); G. Joyce and D. Montgomery, "Negative temperature states for the two-dimensional guiding-center plasma," J. Plasma Phys. 10, 107 (1973); D. L. Book, Shalom Fisher, and B. E. McDonald, "Steady-state distributions of interacting discrete vortices," Phys. Rev. Lett. 34, 4 (1975); T. S. Lundgren and Y. B. Pointin, "Statistical mechanics of two-dimensional vortices," J. Stat. Phys. 17, 323 (1977); R. A. Smith and T. M. O'Neil, "Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding-center plasma or discrete vortex system," Phys. Fluids B 2, 2961 (1990); D. Montgomery, X. Shan, and W. H. Matthaeus, "Navier-Stokes relaxation to Sinh-Poisson states at finite Reynolds numbers," Phys. Fluids A 5, 2207 (1993).
13. D. Lynden-Bell, "Statistical mechanics of violent relaxation in stellar systems," Mon. Not. R. Astron. Soc. 136, 101 (1967); R. Robert and J. Sommeria, "Statistical equilibrium states for two-dimensional flows," J. Fluid Mech. 229, 291 (1991); J. Miller, P. B. Weichman, and M. C. Cross, "Statistical mechanics, Euler equations, and Jupiter's great red spot," Phys. Rev. A 45, 2328 (1992); A. Thess, J. Sommeria, and B. Jütner, "Inertial organization of a two-dimensional turbulent vortex street," Phys. Fluids 6, 2417 (1994); L. Onsager, "Statistical hydrodynamics," Nuovo Cimento Suppl. 6, 279 (1949); G. Joyce and D. Montgomery, "Negative temperature states for the two-dimensional guiding-center plasma," J. Plasma Phys. 10, 107 (1973); D. L. Book, Shalom Fisher, and B. E. McDonald, "Steady-state distributions of interacting discrete vortices," Phys. Rev. Lett. 34, 4 (1975); T. S. Lundgren and Y. B. Pointin, "Statistical mechanics of two-dimensional vortices," J. Stat. Phys. 17, 323 (1977); R. A. Smith and T. M. O'Neil, "Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding-center plasma or discrete vortex system," Phys. Fluids B 2, 2961 (1990); D. Montgomery, X. Shan, and W. H. Matthaeus, "Navier-Stokes relaxation to Sinh-Poisson states at finite Reynolds numbers," Phys. Fluids A 5, 2207 (1993).
14. D. Lynden-Bell, "Statistical mechanics of violent relaxation in stellar systems," Mon. Not. R. Astron. Soc. 136, 101 (1967); R. Robert and J. Sommeria, "Statistical equilibrium states for two-dimensional flows," J. Fluid Mech. 229, 291 (1991); J. Miller, P. B. Weichman, and M. C. Cross, "Statistical mechanics, Euler equations, and Jupiter's great red spot," Phys. Rev. A 45, 2328 (1992); A. Thess, J. Sommeria, and B. Jütner, "Inertial organization of a two-dimensional turbulent vortex street," Phys. Fluids 6, 2417 (1994); L. Onsager, "Statistical hydrodynamics," Nuovo Cimento Suppl. 6, 279 (1949); G. Joyce and D. Montgomery, "Negative temperature states for the two-dimensional guiding-center plasma," J. Plasma Phys. 10, 107 (1973); D. L. Book, Shalom Fisher, and B. E. McDonald, "Steady-state distributions of interacting discrete vortices," Phys. Rev. Lett. 34, 4 (1975); T. S. Lundgren and Y. B. Pointin, "Statistical mechanics of two-dimensional vortices," J. Stat. Phys. 17, 323 (1977); R. A. Smith and T. M. O'Neil, "Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding-center plasma or discrete vortex system," Phys. Fluids B 2, 2961 (1990); D. Montgomery, X. Shan, and W. H. Matthaeus, "Navier-Stokes relaxation to Sinh-Poisson states at finite Reynolds numbers," Phys. Fluids A 5, 2207 (1993).
15. D. Lynden-Bell, "Statistical mechanics of violent relaxation in stellar systems," Mon. Not. R. Astron. Soc. 136, 101 (1967); R. Robert and J. Sommeria, "Statistical equilibrium states for two-dimensional flows," J. Fluid Mech. 229, 291 (1991); J. Miller, P. B. Weichman, and M. C. Cross, "Statistical mechanics, Euler equations, and Jupiter's great red spot," Phys. Rev. A 45, 2328 (1992); A. Thess, J. Sommeria, and B. Jütner, "Inertial organization of a two-dimensional turbulent vortex street," Phys. Fluids 6, 2417 (1994); L. Onsager, "Statistical hydrodynamics," Nuovo Cimento Suppl. 6, 279 (1949); G. Joyce and D. Montgomery, "Negative temperature states for the two-dimensional guiding-center plasma," J. Plasma Phys. 10, 107 (1973); D. L. Book, Shalom Fisher, and B. E. McDonald, "Steady-state distributions of interacting discrete vortices," Phys. Rev. Lett. 34, 4 (1975); T. S. Lundgren and Y. B. Pointin, "Statistical mechanics of two-dimensional vortices," J. Stat. Phys. 17, 323 (1977); R. A. Smith and T. M. O'Neil, "Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding-center plasma or discrete vortex system," Phys. Fluids B 2, 2961 (1990); D. Montgomery, X. Shan, and W. H. Matthaeus, "Navier-Stokes relaxation to Sinh-Poisson states at finite Reynolds numbers," Phys. Fluids A 5, 2207 (1993).
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17. D. Lynden-Bell, "Statistical mechanics of violent relaxation in stellar systems," Mon. Not. R. Astron. Soc. 136, 101 (1967); R. Robert and J. Sommeria, "Statistical equilibrium states for two-dimensional flows," J. Fluid Mech. 229, 291 (1991); J. Miller, P. B. Weichman, and M. C. Cross, "Statistical mechanics, Euler equations, and Jupiter's great red spot," Phys. Rev. A 45, 2328 (1992); A. Thess, J. Sommeria, and B. Jütner, "Inertial organization of a two-dimensional turbulent vortex street," Phys. Fluids 6, 2417 (1994); L. Onsager, "Statistical hydrodynamics," Nuovo Cimento Suppl. 6, 279 (1949); G. Joyce and D. Montgomery, "Negative temperature states for the two-dimensional guiding-center plasma," J. Plasma Phys. 10, 107 (1973); D. L. Book, Shalom Fisher, and B. E. McDonald, "Steady-state distributions of interacting discrete vortices," Phys. Rev. Lett. 34, 4 (1975); T. S. Lundgren and Y. B. Pointin, "Statistical mechanics of two-dimensional vortices," J. Stat. Phys. 17, 323 (1977); R. A. Smith and T. M. O'Neil, "Nonaxisymmetric thermal equilibria of a cylindrically bounded guiding-center plasma or discrete vortex system," Phys. Fluids B 2, 2961 (1990); D. Montgomery, X. Shan, and W. H. Matthaeus, "Navier-Stokes relaxation to Sinh-Poisson states at finite Reynolds numbers," Phys. Fluids A 5, 2207 (1993).
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40. D. Z. Jin and D. H. E. Dubin, "Dynamics of vortex crystals," Bull. Am. Phys. Soc. 42, 2056 (1997).