Zonostrophic instability

Journal of the Atmospheric Sciences

Volumn 69, Issue 5, 2012, Pages 1633-1656

  Srinivasan, Kaushik ^a   Young, W R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Barotropic flows; Instability; Jets; Nonlinear dynamics; Shear structure flows; Stochastic models

Indexed keywords

BAROTROPIC; BODY FORCES; CORRELATION FUNCTION; CRITICAL STABILITY; DETERMINISTIC EQUATIONS; DETERMINISTIC SYSTEMS; LENGTH SCALE; LINEAR PREDICTION; LINEAR STABILITY; LINEAR STABILITY THEORY; NUMERICAL SOLUTION; PARAMETER SPACES; QUASI-LINEAR; REYNOLDS STRESS; SHEAR STRUCTURE; TWO-POINT; VORTICITY EQUATION; ZONAL JETS; ZONAL MEAN FLOWS; ZONAL MEANS;

DRAG; DYNAMICS; JETS; PLASMA STABILITY; REYNOLDS NUMBER; SHEAR FLOW; STOCHASTIC MODELS; VORTICITY;

STABILITY;

BAROTROPIC MOTION; DRAG; EDDY; JET FLOW; NONLINEARITY; PARAMETERIZATION; VORTICITY; ZONAL FLOW;

EID: 84864848170     PISSN: 00224928     EISSN: 15200469     Source Type: Journal    
DOI: 10.1175/JAS-D-11-0200.1     Document Type: Article

References (35)

1. Bakas, N.A., and P. Ioannou, 2011: Structural stability theory of twodimensional fluid flow under stochastic forcing. J. Fluid Mech., 682, 332-361.
2. Carnevale, G. F., and P. C. Martin, 1982: Field theoretical techniques in statistical fluid dynamics: With applications to nonlinear wave dynamics. Geophys. Astrophys. Fluid Dyn., 20, 131-164.
3. Cox, S. M., and P. C. Matthews, 2005: Exponential time differencing for stiff systems. J. Comput. Phys., 176, 430-455.
4. Cummins, P. F., and G. Holloway, 2010: Reynolds stress and eddy viscosity in direct numerical simulation of shearedtwo-dimensional turbulence. J. Fluid Mech., 657, 394-412.
5. Danilov, S., and V. M. Gryanik, 2004: Barotropic beta-plane turbulence in a regime with strong zonal jets revisited. J. Atmos. Sci., 61, 2283-2295.
6. Danilov, S., and D. Gurarie, 2004: Scaling, spectra and zonal jets in betaplane turbulence. Phys. Fluids, 16, 2592-2603.
7. DelSole, T., 2001: A theory for the forcing and dissipation in stochastic turbulence models. J. Atmos. Sci., 58, 3762-3775.
8. Diamond, P. H., S.-I. Itoh, K. Itoh, and T. S. Hahm, 2005: Zonal flows in plasmas-A review. Plasma Phys. Contr. Fusion, 47, R35, doi:10.1088/0741-3335/47/5/R01.
9. Dritschel, D. G., and M. E. McIntyre, 2010: Multiple jets as PV staircases: The Phillips effect and the resilience of eddytransport barriers. J. Atmos. Sci., 65, 855-874.
10. Farrell, B. F., and P. J. Ioannou, 1993a: Stochastic forcing of perturbation variance in unbounded shear and deformation flows. J. Atmos. Sci., 50, 200-211.
11. Farrell, B. F., and P. J. Ioannou, 1993b: Stochastic forcing of the linearized Navier- Stokes equations. Phys. Fluids A, 5, 2600-2609.
12. Farrell, B. F., and P. J. Ioannou, 2003: Structural stability of turbulent jets. J. Atmos. Sci., 50, 2101-2118.
13. Farrell, B. F., and P. J. Ioannou, 2007: Structure and spacing of jets in barotropic turbulence. J. Atmos. Sci., 64, 3652-3665.
14. Galperin, B., S. Sukoriansky, N.Dikovskaya, P. Read, Y. Yamazaki, and R. Wordsworth, 2006: Anisotropic turbulence and zonal jets in rotating flows with a b-effect. Nonlinear Processes Geophys., 13, 83-98.
15. Holloway, G., 2010: Eddy stress and shear in 2D flows. J. Turbul., 11, 1-14.
16. Huang, H. P., and W. A. Robinson, 1998: Two-dimensional turbulence and persistent zonal jets in a global barotropic model. Nonlinear Processes Geophys., 55, 611-632.
17. Lilly, D. K., 1969: Numerical simulation of two-dimensional turbulence. Phys. Fluids, 12, II-240, doi:10.1063/1.1692444.
18. Maltrud, M. E., and G. K. Vallis, 1991: Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence. J. Fluid Mech., 228, 321-342.
19. Manfroi, A. J., and W. Young, 1999: Slow evolution of zonal jets on the beta plane. J. Atmos. Sci., 56, 784-800.
20. Marston, J. B., E. Conover, and T. Schneider, 2008: Statistics of an unstable barotropic jet from a cumulant expansion. J. Atmos. Sci., 65, 1955-1966.
21. Nozawa, T., and S. Yoden, 1997: Formation of zonal-band structure in forced two-dimensional turbulence on a rotating sphere. Phys. Fluids, 9, 2081-2093.
22. O'Gorman, P. A., and T. Schneider, 2007: Recovery of atmospheric flow statistics in a general circulation model without nonlinear eddy-eddy interactions. Geophys. Res. Lett., 34, L22801, doi:10.1029/2007GL031779.
23. Panetta, R. L., 1993: Zonal jets in wide baroclinically unstable regions: persistence and scale selection. J. Atmos. Sci., 50, 2073-2106.
24. Rhines, P. B., 1975: Waves and turbulence on a beta-plane. J. Fluid Mech., 69, 417-443.
25. Rhines, P. B., and W. R. Young, 1982: Homogenization of potential vorticity in planetary gyres. J. Fluid Mech., 122, 347-367.
26. Salmon, R., 1998: Lectures on Geophysical Fluid Dynamics. Oxford University Press, 379 pp.
27. Scott, R. K., and L. M. Polvani, 2007: Forced-dissipative shallowwater turbulence on the sphere and the atmospheric circulation of the giant planets. J. Atmos. Sci., 64, 3158-3176.
28. Shepherd, T. G., 1985: Time development of small disturbances to plane Couette flow. J. Atmos. Sci., 42, 1868-1871.
29. Showman, A. P., 2007: Numerical simulations of forced shallowwater turbulence: Effects of moist convection on large-scale circulation of Jupiter and Saturn. J. Atmos. Sci., 64, 3132-3157.
30. Smith, K. S., 2004: A local model for planetary atmospheres forced by small-scale convection. J. Atmos. Sci., 61, 1420-1433.
31. Tobias, S. M., K. Dagon, and J. Marston, 2011: Astrophysical fluid dynamics via direct statistical simulation. Astrophys. J., 727, 127, doi:10.1088/0004-637X/727/2/127.
32. Vallis, G. K., and M. E. Maltrud, 1993: Generation of mean flow and jets on a beta plane and over topography. J. Phys. Oceanogr., 23, 1346-1362.
33. Vasavada, A. R., and A. P. Showman, 2005: Jovian atmospheric dynamics: An update after Galileo and Cassini. Rep. Prog. Phys., 68, 1935-1996.
34. Whitehead, J. A., 1975: Mean flow generated by circulation on a beta-plane: An analogy with the moving flame experiment. Tellus, 27, 358-363.
35. Williams, G. P., 1978: Planetary circulations: 1. Barotropic representation of Jovian and terrestrial turbulence. J. Atmos. Sci., 35, 1399-1426.