Small-scale instabilities of an island wake flow in a rotating shallow-water layer

Dynamics of Atmospheres and Oceans

Volumn 49, Issue 1, 2010, Pages 1-24

  Teinturier, Samuel ^a   Stegner, Alexandre ^a   Didelle, Henri ^b   Viboud, Samuel ^b  

^a CNRS   (France)

^b LEGI   (France)

Author keywords

Instability; Island wakes; Rotating shallow water; Vortex street

Indexed keywords

CORIOLIS; DIMENSIONAL INSTABILITY; EARTH'S ROTATION; EXPERIMENTAL INVESTIGATIONS; EXPERIMENTAL STUDIES; FINITE ASPECT RATIO; INERTIAL INSTABILITY; INSTABILITY; ISLAND WAKES; ISOLATED ISLANDS; LABORATORY EXPERIMENTS; LARGE AMPLITUDE WAVES; OCEANIC VORTICES; PASSIVE TRACERS; PIV MEASUREMENTS; ROSSBY NUMBERS; ROTATING FLUIDS; ROTATING SHALLOW-WATER; SHALLOW-WATER; SHALLOW-WATER CONFIGURATION; SMALL ASPECT RATIO; SMALL-SCALE INSTABILITY; SUPER-CRITICAL; THREE-DIMENSIONAL PERTURBATIONS; TRANSIENT INSTABILITY; VERTICAL STRATIFICATION; VISUALISATION; VORTEX STREET;

EXPERIMENTS; OCEAN STRUCTURES; PRESSURE DROP; REYNOLDS NUMBER; ROADS AND STREETS; ROTATION; STABILITY; THREE DIMENSIONAL; VORTEX FLOW; VORTEX SHEDDING; VORTICITY; WAKES;

ASPECT RATIO;

ANTICYCLONE; CORIOLIS FORCE; EARTH ROTATION; EXPERIMENTAL STUDY; FROUDE NUMBER; LABORATORY METHOD; PERTURBATION; REYNOLDS NUMBER; ROSSBY NUMBER; SHALLOW WATER; STRATIFICATION; THERMOCLINE; THREE-DIMENSIONAL MODELING; TWO-DIMENSIONAL MODELING; VORTEX FLOW; VORTICITY; WAKE; WAVE DISPERSION; WAVE GENERATION;

EID: 70350581078     PISSN: 03770265     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dynatmoce.2008.10.006     Document Type: Article

References (42)

1. Afanasyev Y.D. Experiments on instability of columnar vortex pairs in rotating fluid. Geophys. Astro. Fluid 96 1 (2002) 31-48
2. Afanasyev Y.D., and Peltier W.R. Three-dimensional instability of anticyclonic swirling flow in rotating fluid: laboratory experiments and related theoretical predictions. Phys. Fluids 10 12 (1998) 3194-3202
3. Aristegui J., Sangra P., Hernandezleon S., Canton M., and Hernandezguerra A. Island-induced eddies in the canary-islands. Deep-Sea Res. Pt. I 41 10 (1994) 1509-1525
4. Bartello P., Metais O., and Lesieur M. Coherent structures in rotating 3-dimensional turbulence. J. Fluid Mech. 273 (1994) 1-29
5. Bayly B.J. Three-dimensional instability of elliptic flow. Phys. Rev. Lett. 57 17 (1986) 2160-2163
6. Billant P., and Gallaire F. Generalized rayleigh criterion for non-axisymmetric centrifugal instabilities. J. Fluid Mech. 542 (2005) 365-379
7. Boyer D.L., and Kmetz M.L. Vortex shedding in rotating flows. Geophys. Astro. Fluid 26 (1983) 51-83
8. Caldeira R.M.A., Groom S., Miller P., Pilgrim D., and Nezlin N.P. Sea-surface signatures of the island mass effect phenomena around Madeira island, Northeast Atlantic. Remote Sens. Environ. 80 (2002) 336-360
9. Caldeira R.M.A., and Marchesiello P. Ocean response to wind sheltering in the southern California bight. Geophys. Res. Lett. 29 (2002) 1-4
10. Caldeira R.M.A., Marchesiello P., Nezlin N.P., DiGiacomo P.M., and McWilliams J.C. Island wakes in the southern California bight. J. Geophys. Res. (2005) 110
11. Cambon C., Benoit J.P., Shao L., and Jacquin L. Stability analysis and large-eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278 (1994) 175-200
12. Carnevale G.F., and Kloosterziel R.C. Emergence and evolution of triangular vortices. J. Fluid Mech. 259 (1994) 305-331
13. Carton X., Flierl C.R., and Polvani L. The generation of tripoles from unstable axisymmetric isolated vortex structure. Europhys. Lett. 9 (1989) 339-344
14. Chavanne C. Observations of vortices and vortex rossby waves in the lee of an island. Proceeding, CFM Grenoble (2007)
15. Coutis P.F., and Middleton J.H. Flow-topography interaction in the vicinity of an isolated, deep ocean island. Deep-Sea Res. Pt. I 46 9 (1999) 1633-1652
16. Dong C.M., McWilliams J.C., and Shchepetkin A.F. Island wakes in deep water. J. Phys. Oceanogr. 37 4 (2007) 962-981
17. Emanuel K.A. Inertial stability and mesoscale convective systems. Bull. Am. Meteorol. Soc. 60 5 (1979) 527-1527
18. Hasegawa D., Yamazaki H., Lueck R.G., and Seuront L. How islands stir and fertilize the upper ocean. Geophys. Res. Lett. 16 (2004) 31
19. Heywood K.J., Stevens D.P., and Bigg G.R. Eddy formation behind the tropical island of aldabra. Deep-Sea Res. Pt. I 43 4 (1996) 555-578
20. Johnson E.R., Esler J.G., Rump O.J., Sommeria J., and Vilenski G.G. Orographically generated nonlinear waves in rotating and non-rotating two-layer flow. P. R. Soc. A 462 (2006) 3-20
21. Johnson J.A. The stability of shearing motion in a rotating fluid. J. Fluid Mech. 17 3 (1963) 337-352
22. Kloosterziel R.C., Carnevale G.F., and Orlandi P. Inertial instability in rotating and stratified fluids: barotropic vortices. J. Fluid Mech. 583 (2007) 379-412
23. Kloosterziel R.C., and Carnevale G.F. Vertical scale selection in inertial instability. J. Fluid Mech. 594 (2008) 249-269
24. Kloosterziel R.C., and VanHeijst G.J.F. An experimental study of unstable barotropic vortices in a rotating fluid. J. Fluid Mech. 223 (1991) 1-24
25. Le Bars, M., Le Dizès, S., Le Gal, P., 2007. Coriolis effects on the elliptical instability in cylindrical and spherical rotating containers. J. Fluid Mech. 585, 323-342.
26. Le Dizès S. Three-dimensional instability of a multipolar vortex in a rotating flow. Phys. Fluids 12 11 (2000) 2762-2774
27. Leblanc S., and Cambon C. On the three-dimensional instabilities of plane flows subjected to coriolis force. Phys. Fluids 9 5 (1997) 1307-1316
28. Mutabazi I., Normand C., and Wesfreid J.E. Gap size effects on centrifugally and rotationally driven instabilities. Phys. Fluids A-Fluid 4 6 (1992) 1199-1205
29. Perret G., Stegner A., Dubos T., Chomaz J., and Farge M. Stability of parallel wake flows in quasigeostrophic and frontal regimes. Phys. Fluids (2006) 18
30. Perret G., Stegner A., Farge M., and Pichon T. Cyclone-anticyclone asymmetry of large-scale wakes in the laboratory. Phys. Fluids (2006) 18
31. Pierrehumbert R.T. Universal short-wave instability of two-dimensional eddies in an inviscid fluid. Phys. Rev. Lett. 57 17 (1986) 2157-2159
32. Potylitsin P.G., and Peltier W.R. Three-dimensional destabilization of stuart vortices: the influence of rotation and ellipticity. J. Fluid Mech. 387 (1999) 205-226
33. Sipp D., and Jacquin L. Three-dimensional centrifugal-type instabilities of two-dimensional flows in rotating systems. Phys. Fluids 12 (2000) 1740
34. Stegner A. Experimental reality of geostrophic adjustment. Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances (2007), Elsevier
35. Stegner A., and Dritschel D.G. A numerical investigation of the stability of isolated shallow water vortices. J. Phys. Oceanogr. 30 (2000) 2562-2573
36. Stegner A., Pichon T., and Beunier M. Elliptical-inertial instability of rotating karman vortex streets. Phys. Fluids 6 (2005) 17
37. Stevens D.E., and Ciesielski P.E. Inertial instability of horizontally sheared flow away from the equator. J. Atmos. Sci. 43 23 (1986) 2845-2856
38. Tarbouriech L., and Renouard D. Stabilisation et destabilisation par la rotation d'un sillage turbulent. C. R. Acad. Sci. III 323 (1996) 323-391
39. Tomczak M. Island wakes in deep and shallow water. J. Geophys. Res. 93 (1988) 5153-5154
40. Wen C.Y., and Lin C.Y. Two-dimensional vortex shedding of a circular cylinder. Phys. Fluids 13 (2001) 557
41. Xie S.P., Liu W.T., Liu Q.Y., and Nonaka M. Far-reaching effects of the Hawaiian islands on the pacific ocean-atmosphere system. Science 292 5524 (2001) 2057-2060
42. Yanase S., Flores C., Metais O., and Riley J.J. Rotating free-shear flows. 1. Linear-stability analysis. Phys. Fluids A-Fluid 5 11 (1993) 2725-2737