Elliptical instability

Annual Review of Fluid Mechanics

Volumn 34, Issue , 2002, Pages 83-113

  Kerswell, Richard R ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Rotation; Strain; Transition; Vortex breakdown; Waves

Indexed keywords

STABILITY; VORTEX FLOW;

ELLIPTICAL INSTABILITY; PARAMETRIC RESONANCE;

FLUID MECHANICS;

INSTABILITY; ROTATION; STRAIN; VORTEX BREAKDOWN;

EID: 0036434050     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.34.081701.171829     Document Type: Article

References (102)

1. Elliptical instability of the Earth's fluid core
2. Instability, turbulence, and enhanced transport in accretion disks
3. Three-dimensional instability of elliptical flow
4. Three-dimensional stability of elliptical vortex columns in external strain flows
5. Instability mechanisms in shear-flow transition
6. Instabilities of exact, time-periodic solutions of the incompressible Euler equations
7. Three-dimensional stability of a vortex pair
8. Effect of Coriolis force field on the motion of a fluid inside an ellipsoidal cavity
9. On density effects and large structure in turbulent mixing layers
10. The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers
11. An experimental study of secondary multi-eddy flows in elliptical cylinders
12. The mixing layer: Deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion
13. The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions
14. The stability of three-dimensional time-periodic flows with spatially uniform strain rates
15. Stability theory for a pair of trailing vortices
16. Three-dimensional instability of Burgers and Lamb-Oseen vortices in a strain field
17. Stability of the Rankine vortex in a multipolar field
18. Experimental study of the multipolar vortex instability
19. Secondary instabilities of flows with elliptic streamlines
20. The stability of three-dimensional time periodic flows with ellipsoidal stream surfaces
21. An experimental and theoretical study of the stability of a liquid in an elliptical cylinder
22. An investigation of the stability of liquid flows in a three-axis ellipsoid
23. Finite-dimensional approximation of the motions of an incompressible fluid in an ellipsoidal cavity
24. Instability of bounded flows with elliptical streamlines
25. Many routes to turbulent convection
26. Onset of turbulence in a rotating fluid
27. A local instability of tidally distorted accretion disks
28. On the rotation of a liquid ellipsoid about its mean axis
29. The onset of shear-flow turbulence
30. Instability induced by symmetry reduction
31. The oscillations of a rotating ellipsoidal shell containing fluid
32. Vibrations of a columnar vortex
33. Elliptical instabilities of stratified, hydromagnetic waves
34. The instability of precessing flow
35. Tidal excitation of hydromagnetic waves and their damping in the Earth
36. Secondary instabilities in rapidly rotating flows: Inertial wave breakdown
37. Tidal instability as the source for Io's magnetic signature
38. The onset of turbulence in finite-amplitude Kelvin-Helmholtz billows
39. Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics
40. Inertial wave dynamics in a rotating and precessing cylinder
41. Azimuthal flow associated with inertial wave resonance in a precessing cylinder
42. The three-dimensional instability of strained vortices in a viscous fluid
43. Direct numerical simulations of the elliptical instability of a vortex pair
44. Stability of stagnation points in rotating flows
45. Effects of the Coriolis force on the stability of Stuart vortices
46. Short-wavelength instabilities of Riemann ellipsoids
47. New global instabilities of the Riemann ellipsoids
48. On the weakly nonlinear development of the elliptical instability
49. Three-dimensional instability of a multipolar vortex in a rotating flow
50. Short-wavelength instability of a vortex in a multipolar strain field
51. On the three-dimensional instability of elliptical vortex subjected to stretching
52. Cooperative elliptic instability of a vortex pair
53. Three-dimensional instabilities in wake transition
54. Short-wavelength instabilities of incompressible three-dimensional flows and generation of vorticity
55. On the stability of certain motions of an ideal incompressible fluid
56. A new class of instabilities of rotating fluids
57. Local stability conditions in fluid dynamics
58. Localised instabilities of vortex rings with swirl
59. Fluid instabilities in precessing spheroidal cavities
60. Tidal instability of accretion disks
61. Transition to turbulence in an elliptic vortex
62. The instability of rotating fluid columns subjected to a weak external Coriolis force
63. Precession of the Earth as the cause of geomagnetism
64. An experimental study of the global instabilities due to the tidal (elliptical) distortion of a rotating elastic cylinder
65. Energy sources for planetary dynamos
66. Transition from order to disorder in elliptical flow: A direct path to shear flow turbulence
67. Breakdown regimes of inertia waves in a precessing cylinder
68. Distortions of inertia waves in a rotating fluid cylinder forced near its fundamental mode resonance
69. Nonlinear behaviour of contained inertia waves
70. Nonlinear evolution of the elliptical instability: An example of inertial wave breakdown
71. Chaotic dynamics in a strained rotating flow: A precessing plane fluid layer
72. Inertial oscillations in a rotating fluid cylinder
73. Elliptical instability in a stably stratified rotating fluid
74. Three-dimensional instability of strained vortices in a stably stratified fluid
75. The instability of a straight vortex filament in a strain field
76. m, m ≥ 3
77. Secondary instability of wall-bounded shear flows
78. Universal short-wave instability of two-dimensional eddies in an inviscid fluid
79. The two-and three-dimensional instabilities of a spatially periodic shear layer
80. Sur la précession des corps déformables
81. Three-dimensional stability of an elliptical vortex in a straining field
82. Instabilities of spin-up and spin-down flows inside of liquid-filled ellipsoids
83. On the nature of turbulence
84. Nonlinear evolution of tidally distorted accretion disks-Two-dimensional simulations
85. Stability theory for an elliptical vortex
86. A numerical model for elliptical instability of the Earth's fluid outer core
87. Weakly nonlinear saturation of short-wave instabilities in a strained Lamb-Oseen vortex
88. Elliptic instability in two-dimensional flattened Taylor-Green vortices
89. Vortices in rotating systems: Centrifugal, elliptic and hyperbolic type instabilities
90. Magnetohydrodynamic flow in precessing spherical shells
91. Flow patterns of large eddies in a wake and a boundary layer
92. The stability of short waves on a straight vortex filament in a weak externally imposed strain field
93. Resonance instability of the flows with closed streamlines
94. On the stability of elliptically deformed rotation of ideal incompressible fluid in a field of Coriolis forces
95. Instability of steady flows with constant vorticity in vessels of elliptic cross-section
96. On the three-dimensional instability of strained vortices
97. Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process
98. The instability of short waves on a vortex ring