Cassini Observations Reveal a Regime of Zonostrophic Macroturbulence on Jupiter

Authors

Boris Galperin, University of South FloridaFollow
Roland M.B. Young, University of Oxford
Semion Sukoriansky, Ben-Gurion University of the Negev
Nadejda Dikovskaya, Ben-Gurion University of the Negev
Peter L. Read, University of Oxford
Andrew J. Lancaster, University of Oxford
David Armstrong, University of Oxford

Document Type

Article

Publication Date

2014

Keywords

Jupiter, atmosphere, Atmospheres, dynamics, Image processing

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.icarus.2013.08.030

Abstract

In December 2000, the Cassini fly-by near Jupiter delivered high-resolution images of Jupiter’s clouds over the entire planet in a band between 50°N and 50°S. Three daily-averaged two-dimensional velocity snapshots extracted from these images are used to perform spectral analysis of jovian atmospheric macroturbulence. A similar analysis is also performed on alternative data documented by Choi and Showman (Choi, D., Showman, A. [2011]. Icarus 216, 597–609), based on a different method of image processing. The inter-comparison of the products of both analyses ensures a better constraint of the spectral estimates. Both analyses reveal strong anisotropy of the kinetic energy spectrum. The zonal spectrum is very steep and most of the kinetic energy resides in slowly evolving, alternating zonal (west–east) jets, while the non-zonal, or residual spectrum obeys the Kolmogorov–Kraichnan law specific to two-dimensional turbulence in the range of the inverse energy cascade. The spectral data is used to estimate the inverse cascade rate ∊ and the zonostrophy index R_β for the first time. Although both datasets yield somewhat different values of ∊, it is estimated to be in the range 0.5–1.0 × 10⁻⁵ m² s⁻³. The ensuing values of R_β ≳ 5 belong well in the range of zonostrophic turbulence whose threshold corresponds to R_β ≃ 2.5. We infer that the large-scale circulation is maintained by an anisotropic inverse energy cascade. The removal of the Great Red Spot from both datasets has no significant effect upon either the spectra or the inverse cascade rate. The spectral data are used to compute the rate of the energy exchange, W, between the non-zonal structures and the large-scale zonal flow. It is found that instantaneous values of W may exceed ∊ by an order of magnitude. Previous numerical simulations with a barotropic model suggest that W and ∊ attain comparable values only after averaging of W over a sufficiently long time. Near-instantaneous values of W that have been routinely used to infer the rate of the kinetic energy supply to Jupiter’s zonal flow may therefore significantly overestimate ∊. This disparity between W and ∊ may resolve the long-standing conundrum of an unrealistically high rate of energy transfer to the zonal flow. The meridional diffusivity K_ϕ in the regime of zonostrophic turbulence is given by an expression that depends on ∊. The value of K_ϕ estimated from the spectra is compared against data from the dispersion of stratospheric gases and debris resulting from the Shoemaker-Levy 9 comet and Wesley asteroid impacts in 1994 and 2009 respectively. Not only is K_ϕ found to be consistent with estimates for both impacts, but the eddy diffusivity found from observations appears to be scale-independent. This behaviour could be a consequence of the interaction between anisotropic turbulence and Rossby waves specific to the regime of zonostrophic macroturbulence.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Icarus, v. 229, p. 295-320

Scholar Commons Citation

Galperin, Boris; Young, Roland M.B.; Sukoriansky, Semion; Dikovskaya, Nadejda; Read, Peter L.; Lancaster, Andrew J.; and Armstrong, David, "Cassini Observations Reveal a Regime of Zonostrophic Macroturbulence on Jupiter" (2014). Marine Science Faculty Publications. 1495.
https://digitalcommons.usf.edu/msc_facpub/1495