No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Rotating shallow water turbulence: Experiments with altimetry
5. G. P. Bewley, D. P. Lathrop, L. R. M. Maas, and K. R. Sreenivasan, “Inertial waves in rotating grid turbulence,” Phys. Fluids 19, 071701 (2007).
8. L. J. A. van Bokhoven, H. J. H. Clercx, G. J. F. van Heijst, and R. R. Trieling, “Experiments on rapidly rotating turbulent flows,” Phys. Fluids 21, 096601 (2009).
11. L. M. Polvani, J. C. McWilliams, M. A. Spall, and R. Ford, “The coherent structures of shallow-water turbulence: Deformation-radius effects, cyclone/anticyclone asymmetry and gravity-wave generation,” Chaos 4, 177 (1994).
12. L. P. Graves, J. C. McWilliams, and M. T. Montgomery, “Vortex evolution due to straining: A mechanism for dominance of strong, interior anticyclones,” Geophys. Astrophys. Fluid Dyn. 100, 151 (2006).
13. N. Lahaye and V. Zeitlin, “Decaying vortex and wave turbulence in rotating shallow water model, as follows from high resolution direct numerical simulations,” Phys. Fluids 24, 115106 (2012).
15. L. M. Smith and F. Waleffe, “Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence,” Phys. Fluids 11(6), 1608 (1999).
16. F. Moisy, C. Morize, M. Rabaud, and J. Sommeria, “Decay laws, anisotropy and cyclone-anticyclone asymmetry in decaying rotating turbulence,” J. Fluid Mech. 666, 5 (2011).
19. V. Zeitlin, “Nonlinear dynamics of rotating shallow water: Methods and advances,” Advances in Nonlinear Science and Complexity Vol. 2 (Elsevier, 2007).
24. J. Kestin, M. Sokolov, and W. A. Wakeham, “Viscosity of liquid water in the range −8 C to 150 C,” J. Phys. Chem. Ref. Data 7(3), 941–948 (1978).
26. Y. D. Afanasyev and V. N. Korabel, “Wakes and vortex streets generated by translating force and force doublet: Laboratory experiments,” J. Fluid Mech. 553, 119–141 (2006).
28. A. Stegner and V. Zeitlin, “From quasi-geostrophic to strongly nonlinear monopolar vortices in a paraboloidal shallow-water-layer experiment,” J. Fluid Mech. 356, 1 (1998).
29. Y. D. Afanasyev, P. B. Rhines, and E. G. Lindahl, “Velocity and potential vorticity fields measured by altimetric imaging velocimetry in the rotating fluid,” Exp. Fluids. 47, 913 (2009).
30. S. I. Voropayev and Y. D. Afanasyev, Vortex Structures in a Stratified Fluid: Order from Chaos (Chapman and Hall, London, 1994).
31. Y. D. Afanasyev and V. N. Korabel, “Starting vortex dipoles in a viscous fluid: Asymptotic theory, numerical simulations and laboratory experiments,” Phys Fluids 16(11), 3850 (2004).
32. S. Danilov, F. V. Dolzhanskii, V. A. Dovzhenko, and V. A. Krymov, “Experiments on free decay of quasi-two-dimensional turbulent flows,” Phys. Rev. E 65, 036316 (2002).
33. B. Ribstein, J. Gula, and V. Zeitlin, “(A)geostrophic adjustment of dipolar perturbations, formation of coherent structures and their properties, as follows from high-resolution numerical simulations with rotating shallow water model,” Phys. Fluids 22, 116603–1116603–14 (2010).
44. Z. Xiao, M. Wan, S. Chen, and G. L. Eyink, “Physical mechanism of the inverse energy cascade of two-dimensional turbulence: A numerical investigation,” J. Fluid Mech. 619, 1 (2009).
45. Y. Kimura and J. R. Herring, “Gradient enhancement and filament ejection for a non-uniform elliptic vortex in two-dimensional turbulence,” J. Fluid Mech. 439, 43 (2001).
48. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
50. Y. D. Afanasyev, P. B. Rhines, and E. G. Lindahl, “Emission of inertial waves by baroclinically unstable flows: Laboratory experiments with altimetric imaging velocimetry,” J. Atmos. Sci. 65, 250 (2008).
52. Y. D. Afanasyev and W. R. Peltier, “Three-dimensional instability of anticyclonic barotropic vortices in rotating fluid: laboratory experiments and related theoretical predictions,” Phys. Fluids 10, 3194 (1998).
54. G. F. Carnevale, R. C. Kloosterziel, P. Orlandi, and D. D. J. A. van Sommeren, “Predicting the aftermath of vortex breakup in rotating flow,” J. Fluid Mech. 669, 90 (2011).
Article metrics loading...
Results from a new series of experiments on turbulent flows in a rotating circular container are presented. Electromagnetic forcing is applied to induce flow in a layer of fluid of constant depth. Continuously forced and decaying flows are investigated. Optical altimetry is used to measure the gradient of the surface elevation field and to obtain the velocity and vorticity fields with high temporal and spatial resolution. Spectral analysis of the flows demonstrates the formation of dual cascade with energy and enstrophy intervals although the corresponding spectral fluxes of energy and enstrophy are not uniform in these intervals. The energy interval is characterized by the slope of ∼−5/3 in terms of wavenumber and is limited in extent by the finite radius of deformation effect. In the enstrophy range, the slope is steeper than −3 due to the presence of long-lived coherent vortices. The spatial patterns of fluxes to large or small scales in the flow indicate that inverse energy transfer and direct enstrophy transfer occur mainly in elongated vorticity patches. Cyclone/anticyclone asymmetry in favor of anticyclones is observed in our flows. Dominance of anticyclones is most clear during the decay phase of turbulence. The anticyclones remain circular, while cyclonic vorticity is stretched into elongated patches. Measurements show that skewness of vorticity distribution increases with increasing Froude number of the flow.
Full text loading...
Most read this month