Wave capture and wave-vortex duality

Journal of Fluid Mechanics

Volumn 534, Issue , 2005, Pages 67-95

  Bühler, Oliver ^a   McIntyre, Michael E ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FLOW INTERACTIONS; LAGRANGE MULTIPLIERS; THEOREM PROVING; VELOCITY MEASUREMENT; WAVE EFFECTS;

NONLINEAR INTERACTIONS; POTENTIAL VORTICITY (PV); WAVE CAPTURE; WAVE DYNAMICS;

VORTEX FLOW;

VORTEX; WAVE PROPAGATION;

EID: 22244459192     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005004374     Document Type: Article

References (34)

1. Andrews, D. G. & McIntyre, M. E. 1978a An exact theory of nonlinear waves on a Lagrangian-mean flow. J. Fluid Mech. 89, 609-646 (referred to herein as AM78a).
2. Andrews, D. G. & McIntyre, M. E. 1978b On wave-action and its relatives. J. Fluid Mech. 89, 647-664 (referred to herein as AM78b); and Corrigendum 95, 796.
3. Badulin, S. I. & Shrira, V. I. 1993 On the irreversibility of internal waves dynamics due to wave trapping by mean flow inhomogeneities. Part I. Local analysis J. Fluid Mech. 251, 21-53. (referred to herein as BS93).
4. Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press, 615 pp.
5. Bretherton, F. P. 1969 On the mean motion induced by internal gravity waves. J. Fluid Mech. 36, 785-803 (referred to herein as B69).
6. Bretherton, F. P. & Garrett, C. J. R. 1968 Wavetrains in inhomogeneous moving media. Proc. Ry. Soc. Lond. A 302, 529-554.
7. Broutman, D., Rottman, J. W. & Eckermann, S. D. 2004 Ray methods for internal waves in the atmosphere and ocean. Annu. Rev. Fluid Mech. 36, 233-253.
8. Bühler, O. 2000 On the vorticity transport due to dissipating or breaking waves in shallow-water flow. J. Fluid Mech. 407, 235-263 (referred to herein as B00).
9. Bühler, O. & McIntyre, M. E. 1998 On non-dissipative wave-mean interactions in the atmosphere or oceans. J. Fluid Mech. 354, 301-343 (referred to herein as BM98).
10. Bühler, O. & McIntyre, M. E. 2003 Remote recoil: a new wave-mean interaction effect. J. Fluid Mech. 492, 207-230 (referred to herein as BM03).
11. Donnelly, R. J. 1991 Quantized Vortices in Helium II. Cambridge University Press, 346 pp.
12. Fritts, D. C. & Alexander, M. J. 2003 Gravity-wave dynamics and effects in the middle atmosphere. Rev. Geophys. 41(1), doi:10.1029/ 2001RG000106.
13. Garrett, C. J. R. & Munk, W. 1975 Space-time scales of internal waves: a progress report. J. Geophys. Res. 80, 291-297.
14. Gjaja, I. & Holm, D. D. 1996 Self-consistent Hamiltonian dynamics of wave mean-flow interaction for a rotating stratified incompressible fluid. Physica D 98, 343-378.
15. Hasselmann, K. 1967 A criterion for non-linear wave stability. J. Fluid Mech. 30, 737-739.
16. Haynes, P. H. & Anglade, J. 1997 The vertical-scale cascade of atmospheric tracers due to large-scale differential advection. J. Atmos. Sci. 54, 1121-1136.
17. Hoskins, B. J., McIntyre, M. E. & Robertson, A. W. 1985 On the use and significance of isentropic potential-vorticity maps. Q. J. R. Met. Soc. 111, 877-946.
18. Hoskins, B. J., McIntyre, M. E. & Robertson, A. W. 1987 Reply to comments by J. S. A. Green. Q. J. R. Met. Soc. 113, 402-404.
19. Jones, W. L. 1969 Ray tracing for internal gravity waves. J. Geophys. Res. 74, 2028-2033 (referred to herein as J69).
20. McEwan, A. D. 1971 Degeneration of resonantly-excited internal gravity waves. J. Fluid Mech. 50, 431-448.
21. McIntyre, M. E. 1981 On the 'wave momentum' myth. J. Fluid Mech. 106, 331-347.
22. McIntyre, M. E. 2003 On global-scale atmospheric circulations. In Perspectives in Fluid Dynamics: A Collective Introduction to Current Research (ed. G. K. Batchelor, H. K. Moffatt, M. G. Worster), pp. 557-624. Cambridge University Press, 631 pp. (Paperback edition, with important corrections.)
23. McIntyre, M. E. & Norton, W. A. 2000 Potential-vorticity inversion on a hemisphere. J. Atmos. Sci. 57, 1214-1235; and Corrigendum 58, 949.
24. McIntyre, M. E. & Roulstone, I. 1996 Hamiltonian balanced models: constraints, slow manifolds and velocity splitting. Forecasting Research, Scientific Paper No. 41, pp. 1-49. UK Met Office.
25. Nazarenko, S. V., Zabusky, N. J. & Scheidegger, T. 1995 Nonlinear sound-vortex interactions in an inviscid isentropic fluid: A two-fluid model. Phys. Fluids 7, 2407-2419.
26. Polzin, K. 2004 A heuristic description of internal wave dynamics. J. Phys. Oceanogr. 34, 214-230.
27. Rayleigh, Lord 1896 The Theory of Sound, Volume 2. New York, Dover (reprinted 1945), 504 pp.
28. Saffman, P. G. 1993 Vortex Dynamics. Cambridge University Press, 336 pp.
29. Sonmor, L. J. & Klaassen, G. P. 1997 Toward a unified theory of gravity wave stability. J. Atmos. Sci. 54, 2655-2680.
30. Staquet, C. & Sommeria, J. 2002 Internal gravity waves: from instabilities to turbulence. Annu. Rev. Fluid Mech. 34, 559-594.
31. Stone, M. 2000 Iordanskii force and the gravitational Aharonov-Bohm effect for a moving vortex. Phys. Rev. B 61, 11780-11786.
32. Vadas, S. L. & Fritts, D. C. 2001 Gravity wave radiation and mean responses to local body forces in the atmosphere. J. Atmos. Sci. 58, 2249-2279.
33. Whitham, G. B. 1974 Linear and Nonlinear Waves. New York, Wiley-Interscience, 620 pp.
34. Zhu, X. & Holton, J. 1987 Mean fields induced by local gravity-wave forcing in the middle atmosphere. J. Atmos. Sci. 44, 620-630.