Effects of compressibility on driving zonal flow in gas giants

Icarus

Volumn 219, Issue 1, 2012, Pages 428-442

  Gastine, T ^a   Wicht, J ^a  

^a MAX PLANCK INSTITUT FÜR SONNENSYSTEMFORSCHUNG   (Germany)

Author keywords

Atmospheres, Dynamics; Jupiter, Interior; Saturn, Interior

Indexed keywords

EID: 84859509784     PISSN: 00191035     EISSN: 10902643     Source Type: Journal    
DOI: 10.1016/j.icarus.2012.03.018     Document Type: Article

References (53)

1. Anufriev A.P., Jones C.A., Soward A.M. The Boussinesq and anelastic liquid approximations for convection in the Earth's core. Phys. Earth Planet. Inter. 2005, 152:163-190.
2. Atkinson D.H., Ingersoll A.P., Seiff A. Deep winds on Jupiter as measured by the Galileo probe. Nature 1997, 388:649-650.
3. Aurnou J., Heimpel M., Wicht J. The effects of vigorous mixing in a convective model of zonal flow on the ice giants. Icarus 2007, 190:110-126.
4. Ballot J., Brun A.S., Turck-Chièze S. Simulations of turbulent convection in rotating young solarlike stars: Differential rotation and meridional circulation. Astrophys. J. 2007, 669:1190-1208.
5. Böhm-Vitense E. über die Wasserstoffkonvektionszone in Sternen verschiedener Effektivtemperaturen und Leuchtkräfte. Z. Astrophys. 1958, 46:108-143.
6. Braginsky S.I., Roberts P.H. Equations governing convection in Earth's core and the geodynamo. Geophys. Astrophys. Fluid Dyn. 1995, 79:1-97.
7. Busse F.H. A model of mean zonal flows in the major planets. Geophys. Astrophys. Fluid Dyn. 1983, 23:153-174.
8. Busse F.H. Convection driven zonal flows and vortices in the major planets. Chaos 1994, 4:123-134.
9. Busse F.H. Convective flows in rapidly rotating spheres and their dynamo action. Phys. Fluids 2002, 14:1301-1314.
10. Cho J., Polvani L.M. The morphogenesis of bands and zonal winds in the atmospheres on the giant outer planets. Science 1996, 273:335-337.
11. Christensen U.R. Zonal flow driven by deep convection in the major planets. Geophys. Res. Lett. 2001, 28:2553-2556.
12. Christensen U.R. Zonal flow driven by strongly supercritical convection in rotating spherical shells. J. Fluid Mech. 2002, 470:115-133.
13. Christensen U.R., Aubert J. Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields. Geophys. J. Int. 2006, 166:97-114.
14. Christensen U., Wicht J. Numerical dynamo simulations. Treatise on Geophysics 2007, vol. 8:97-114. Elsevier, Amsterdam.
15. Evonuk M. The role of density stratification in generating zonal flow structures in a rotating fluid. Astrophys. J. 2008, 673:1154-1159.
16. Fernando H.J.S., Chen R.R., Boyer D.L. Effects of rotation on convective turbulence. J. Fluid Mech. 1991, 228:513-547.
17. Gilman P.A., Glatzmaier G.A. Compressible convection in a rotating spherical shell: I - Anelastic equations. Astrophys. J. Suppl. Ser. 1981, 45:335-349.
18. Glatzmaier G.A. A note on " Constraints on deep-seated zonal winds inside Jupiter and Saturn" . Icarus 2008, 196:665-666.
19. Glatzmaier G.A., Gilman P.A. Compressible convection in a rotating spherical shell: II - A linear anelastic model. Astrophys. J. Suppl. Ser. 1981, 45:351-380.
20. Glatzmaier G., Evonuk M., Rogers T. Differential rotation in giant planets maintained by density-stratified turbulent convection. Geophys. Astrophys. Fluid Dyn. 2009, 103:31-51.
21. Gough D.O., Moore D.R., Spiegel E.A., Weiss N.O. Convective instability in a compressible atmosphere: II. Astrophys. J. 1976, 206:536-542.
22. Grote E., Busse F.H. Dynamics of convection and dynamos in rotating spherical fluid shells. Fluid Dyn. Res. 2001, 28:349-368.
23. Guillot T. Interior of giant planets inside and outside the Solar System. Science 1999, 286:72-77.
24. Guillot T., Stevenson D.J., Hubbard W.B., Saumon D. The interior of Jupiter. Jupiter. The Planet, Satellites and Magnetosphere 2004, vol. 1:35-57. Cambridge Planetary Science, Cambridge.
25. Hanel R., Conrath B., Herath L., Kunde V., Pirraglia J. Albedo, internal heat, and energy balance of Jupiter - Preliminary results of the Voyager infrared investigation. J. Geophys. Res. 1981, 86:8705-8712.
26. Heimpel M., Aurnou J.M. Convective bursts and the coupling of Saturn's equatorial storms and interior rotation. Astrophys. J. 2012, 746:51.1-51.14.
27. Heimpel M., Gómez Pérez N. On the relationship between zonal jets and dynamo action in giant planets. Geophys. Res. Lett. 2011, 38:L14201.
28. Heimpel M., Aurnou J., Wicht J. Simulation of equatorial and high-latitude jets on Jupiter in a deep convection model. Nature 2005, 438:193-196.
29. Jones C.A., Kuzanyan K.M. Compressible convection in the deep atmospheres of giant planets. Icarus 2009, 204:227-238.
30. Jones C.A., Kuzanyan K.M., Mitchell R.H. Linear theory of compressible convection in rapidly rotating spherical shells, using the anelastic approximation. J. Fluid Mech. 2009, 634:291-319.
31. Jones C.A., Boronski P., Brun A.S., Glatzmaier G.A., Gastine T., Miesch M.S., Wicht J. Anelastic convection-driven dynamo benchmarks. Icarus 2011, 216:120-135.
32. Kaspi Y., Flierl G.R., Showman A.P. The deep wind structure of the giant planets: Results from an anelastic general circulation model. Icarus 2009, 202:525-542.
33. Lantz S.R., Fan Y. Anelastic magnetohydrodynamic equations for modeling solar and stellar convection zones. Astrophys. J. Suppl. Ser. 1999, 121:247-264.
34. Lian Y., Showman A.P. Generation of equatorial jets by large-scale latent heating on the giant planets. Icarus 2010, 207:373-393.
35. Liu J., Goldreich P.M., Stevenson D.J. Constraints on deep-seated zonal winds inside Jupiter and Saturn. Icarus 2008, 196:653-664.
36. Nellis W.J. Metallization of fluid hydrogen at 140GPa (1.4Mbar): Implications for Jupiter. Planet. Space Sci. 2000, 48:671-677.
37. Nellis W.J., Weir S.T., Mitchell A.C. Metallization and electrical conductivity of hydrogen in Jupiter. Science 1996, 273:936-938.
38. Nettelmann N., Holst B., Kietzmann A., French M., Redmer R., Blaschke D. Ab initio equation of state data for hydrogen, helium, and water and the internal structure of Jupiter. Astrophys. J. 2008, 683:1217-1228.
39. Plaut E., Lebranchu Y., Simitev R., Busse F.H. Reynolds stresses and mean fields generated by pure waves: Applications to shear flows and convection in a rotating shell. J. Fluid Mech. 2008, 602:303-326.
40. Porco C.C., et al. Cassini imaging of Jupiter's atmosphere, satellites, and rings. Science 2003, 299:1541-1547.
41. Salyk C., Ingersoll A.P., Lorre J., Vasavada A., Del Genio A.D. Interaction between eddies and mean flow in Jupiter's atmosphere: Analysis of Cassini imaging data. Icarus 2006, 185:430-442.
42. Schaeffer N., Cardin P. Quasigeostrophic model of the instabilities of the Stewartson layer in flat and depth-varying containers. Phys. Fluids 2005, 17:104111.1-104111.12.
43. Scott R.K., Polvani L.M. Equatorial superrotation in shallow atmospheres. Geophys. Res. Lett. 2008, 35:L24202.1-L24202.5.
44. Showman A.P., Kaspi Y., Flierl G.R. Scaling laws for convection and jet speeds in the giant planets. Icarus 2011, 211:1258-1273.
45. Simitev R., Busse F.H. Patterns of convection in rotating spherical shells. New J. Phys. 2003, 5:97.1-97.20.
46. Stanley S., Glatzmaier G.A. Dynamo models for planets other than Earth. Space Sci. Rev. 2010, 152:617-649.
47. Tortorella, D.A., 2005. Numerical Studies of Thermal and Compressible Convection in Rotating Spherical Shells: An Application to the Giant Planets. Ph.D. Thesis. International Max Planck Research School, Universities of Braunschweig and Göttingen, Germany.
48. Unno W., Kato S., Makita M. Convective instability in polytropic atmospheres, I. Publ. Astron. Soc. J. 1960, 12:192-202.
49. Vasavada A.R., Showman A.P. Jovian atmospheric dynamics: An update after Galileo and Cassini. Rep. Prog. Phys. 2005, 68:1935-1996.
50. Vitense E. Die Wasserstoffkonvektionszone der Sonne. Z. Astrophys. 1953, 32:135-164.
51. Wicht J. Inner-core conductivity in numerical dynamo simulations. Phys. Earth Planet. Inter. 2002, 132:281-302.
52. Williams G.P. Planetary circulations. I - Barotropic representation of jovian and terrestrial turbulence. J. Atmos. Sci. 1978, 35:1399-1426.
53. Zhang K. Spiralling columnar convection in rapidly rotating spherical fluid shells. J. Fluid Mech. 1992, 236:535-556.