Optimal growth in inertia-gravity wave packets: Energetics, long-term development, and three-dimensional structure

Journal of the Atmospheric Sciences

Volumn 63, Issue 2, 2006, Pages 414-434

  Achatz, Ulrich ^a   Schmitz, Gerhard ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC TURBULENCE; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; OPTIMIZATION;

INERTIA-GRAVITY WAVES; NORMAL-MODE ANALYSIS; OPTIMAL GROWTH;

GRAVITY WAVES;

ATMOSPHERIC TURBULENCE; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; GRAVITY WAVES; MATHEMATICAL MODELS; OPTIMIZATION;

GRAVITY WAVE; INERTIA;

EID: 33645103789     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS3637.1     Document Type: Article

References (18)

1. Achatz, U., and G. Schmitz, 2006: Shear and static instability of inertia-gravity wave packets: Short-term modal and nonmodal growth. J. Atmos. Sci., 63, 397-413.
2. Bakas, N.A., P.J. Ioannou, and G.E. Kefaliakos, 2001: The emergence of coherent structures in stratified shear flow. J. Atmos. Sci., 58, 2790-2806.
3. Bretherton, F.P., 1966: The propagation of groups of internal gravity waves in a shear flow. Quart. J. Roy. Meteor. Soc., 92, 466-480.
4. Broutman, D., and W.R. Young, 1986: On the interaction of small-scale oceanic internal waves with near-inertial waves. J. Fluid Mech., 166, 341-358.
5. Dunkerton, T.J., 1997: Shear instability of internal inertia-gravity waves. J. Atmos. Sci., 54, 1628-1641.
6. Farrell, B.F., and P.J. Ioannou, 1993a: Transient development of perturbations in stratified shear flow. J. Atmos. Sci., 50, 2201-2214.
7. Farrell, B.F., and P.J. Ioannou, 1993b: Optimal excitation of three-dimensional perturbations in viscous constant shear flow. Phys. Fluids A, 5, 1390-1400.
8. Fritts, D.C., and L. Yuan, 1989: Stability analysis of inertio-gravity wave structure in the middle atmosphere. J. Atmos. Sci., 46, 1738-1745.
9. Kwasniok, F., and G. Schmitz, 2003: Radiating instabilities of internal inertio-gravity waves. J. Atmos. Sci., 60, 1257-1269.
10. Lelong, M.-P., and D. J. Dunkerton, 1998a: Inertia-gravity wave breaking in three dimensions. Part I: Convectively stable waves. J. Atmos. Sci., 55, 2473-2488.
11. Lelong, M.-P., and D.J. Dunkerton, 1998b: Inertia-gravity wave breaking in three dimensions. Part II: Convectively unstable waves. J. Atmos. Sci., 55, 2489-2501.
12. Lübken, F.-J., 1997: Seasonal variation of turbulent energy dissipation rates at high latitudes as determined by in situ measurements of neutral density fluctuations. J. Geophys. Res., 102, 13 441-13 456.
13. Müllemann, A., M. Rapp, and F.-J. Lübken, 2003: Morphology of turbulencce in the polar summer mesopause region during the MIDAS/ SOLSTICE campaign 2001. Adv. Space Res., 31, 2069-2074.
14. Tapp, M.C., and P.W. White, 1976: A non-hydrostatic mesoscale model. Quart. J. Roy. Metteor. Soc., 102, 277-296.
15. Vadas, S.L., and D.C. Fritts, 2001: Gravity wave radiation and mean responses to local body forces in the atmosphere. J. Atmos. Sci., 58, 2249-2279.
16. Yau, K.-H., G.P. Klaassen, and L.J. Sonmor, 2004: Principal instabilities of large amplitude inertio-gravity waves. Phys. Fluids, 16, 936-951.
17. Yuan, L., and D.C. Fritts, 1989: Influence of a mean shear on the dynamical instability of an inertia-gravity wave. J. Atmos. Sci., 46, 2562-2568.
18. Zhou, X., J.R. Holton, and G.L. Mullendore, 2002: Forcing of secondary waves by breaking of gravity waves in the mesosphere. J. Geophys. Res., 107, 4058, doi:10.1029/2001JD001204.