Inertia-gravity-wave generation: A geometric-optics approach

IUTAM Bookseries

Volumn 28, Issue , 2010, Pages 17-26

  Aspden, J M ^a   Vanneste, J ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRICAL OPTICS; GRAVITY WAVES; OCEANOGRAPHY; ORDINARY DIFFERENTIAL EQUATIONS; TURBULENT FLOW; WAVE PACKETS;

GEOMETRIC-OPTICS APPROACH; GRAVITY MODES; INERTIA GRAVITY WAVES; INTRINSIC FREQUENCY; SCALAR FIELDS; SPONTANEOUS GENERATION; TIME DEPENDENT; WAVE GENERATION PROCESS;

ATMOSPHERIC TURBULENCE;

EID: 84862277884     PISSN: 18753507     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-94-007-0360-5_2     Document Type: Conference Paper

References (25)

1. Arnold, L., Papanicolaou, G., Wihstutz, V.: Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications. SIAM J. Appl. Math. 46, 427-450 (1986)
2. Aspden, J.M., Vanneste, J.: Elliptical instability of a rapidly rotating, strongly stratified fluid. Phys. Fluids (2009). Submitted
3. Badudin, S.I., Shrira, V.I.: On the irreversibility of internal waves dynamics due to wave trapping by mean flow inhomogeneities. part 1. local analysis. J. Fluid Mech. 251, 221-253 (1993)
4. Bühler, O., McIntyre, M.E.: Wave capture and wave-vortex duality. J. Fluid Mech. 534, 67-95 (2005)
5. Falkovich, G., Gawȩdzki, K., Vergassola, M.: Particles and fields in fluid turbulence. Rev. Modern Phys. 73(4), 913-975 (2001)
6. Figotin, A., Pastur, L.: Spectra of Random and Almost-Periodic Operators. Springer (1992)
7. Friedlander, S.J., Lipton-Lifschitz, A.: Localized instabilities in fluids. In: S. Friedlander, D. Serre (eds.) Handbook of Mathematical Fluid Dynamics, vol. II, pp. 289-353. Elsevier Science (2003)
8. Guimbard, D., Leblanc, S.: Local stability of the Abrashkin-Yakubovich family of vortices. J. Fluid Mech. 567, 91-110 (2006)
9. Haynes, P.H., Anglade, J.: The vertical-scale cascade in atmospheric tracers due to large-scale differential advection. J. Atmos. Sci. 54, 1121-1136 (1997)
10. Kerswell, R.R.: Elliptical instability. Ann. Rev. Fluid Mech. 34, 83-113 (2002)
11. Kraichnan, R.H.: Convection of a passive scalar by a quasi-uniform random straining field. J. Fluid Mech. 64, 737-762 (1974)
12. McWilliams, J.C., Yavneh, I.: Fluctuation growth and instability associated with a singularity of the balance equations. Phys. Fluids 10, 2587-2596 (1998)
13. Miyazaki, T.: Elliptical instability in a stably stratified rotating fluid. Phys. Fluids A 5, 2702-2709 (1993)
14. Nazarenko, S., West, R.J., Zaboronski, O.: Fourier space intermittency of the small-scale turbulent dynamo. Phys. Rev. E 68, 026311 (2003)
15. Ngan, K., Straub, D.N., Bartello, P.: Three-dimensionalization of freelydecaying two-dimensional turbulence. Phys. Fluids 16, 2918-2932 (2004)
16. Ólafsdóttir, E.I., Olde Daalhuis, A.B., Vanneste, J.: Inertia-gravity-wave radiation by a sheared vortex. J. Fluid Mech. 596, 169-189 (2008)
17. Plougonven, R., Snyder, C.: Gravity waves excited by jets: propagation versus generation. Geophys. Res. Lett. 32, L18802 (2005)
18. Snyder, C., Muraki, D., Plougonven, R., Zhang, F.: Inertia-gravity waves generated within a dipole vortex. J. Atmos. Sci. 64, 4417-4431 (2007)
19. Straub, D.N.: Instability of 2D flows to hydrostatic 3D perturbations. J. Atmos. Sci. 60, 79-87 (2003)
20. Vanneste, J.: Inertia-gravity-wave generation by balanced motion: revisiting the Lorenz-Krishnamurthy model. J. Atmos. Sci. 61, 224-234 (2004)
21. Vanneste, J.: Exponential smallness of inertia-gravity-wave generation at small Rossby number. J. Atmos. Sci. 65, 1622-1637 (2008)
22. Vanneste, J., Yavneh, I.: Exponentially small inertia-gravity waves and the breakdown of quasi-geostrophic balance. J. Atmos. Sci. 61, 211-223 (2004)
23. Viúdez, A.: Spiral patterns of inertia-gravity waves in geophysical flows. J. Fluid Mech. 562, 73-82 (2006)
24. Viúdez, A.: The origin of the stationary frontal wave packet spontaneously generated in rotating stratified vortex dipoles. J. Fluid Mech. 593, 359-383 (2007)
25. Warn, T., Bokhove, O., Shepherd, T.G., Vallis, G.K.: Rossby number expansions, slaving principles, and balance dynamics. Quart. J. R. Met. Soc. 121, 723-739 (1995)