A general dispersion relation for internal gravity waves in the atmosphere or ocean, including baroclinicity, vorticity, and rate of strain

Journal of Geophysical Research Atmospheres

Volumn 110, Issue 22, 2005, Pages 1-11

  Jones, R Michael ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION;

EID: 30144431592     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004JD005654     Document Type: Article

References (34)

1. Aris, R. (1962), Vectors, Tensors, and the Basic Equations of Fluid Mechanics, 286 pp., Prentice-Hall, Upper Saddle River, N. J.
2. Budden, K. G. (1961), Radio Waves in the Ionosphere, 542 pp., Cambridge Univ. Press, New York.
3. Cole, G. H. (1962), Fluid Dynamics, 238 pp., Clarke, Chapman, Gateshead, U. K.
4. Courant, R., and D. Hilbert (1962), Methods of Mathematical Physics, vol. 2, 830 pp., John Wiley, Hoboken, N. J.
5. Eady, E. T. (1949), Long waves and cyclone waves, Tellus, 1, 33-52.
6. Eckart, C. (1960), Hydrodynamics of Oceans and Atmospheres, 290 pp., Elsevier, New York.
7. Einaudi, F., and C. O. Hines (1970), WKB approximation in application to acoustic-gravity waves, Can. J. Phys., 48, 1458-1471.
8. Garabedian, P. R. (1964), Partial Differential Equations, 672 pp., John Wiley, Hoboken, N. J.
9. Georges, T. M., R. M. Jones, and R. S. Lawrence (1990), A PC version of the HARPO ocean acoustic ray-tracing program, Tech. Memo ERL WPL-180, 18 pp., Natl. Oceanic and Atmos. Admin., Boulder, Colo. (Program available at http://cires.colorado.edu/~mjones/raytracing/pubs.htm)
10. Gill, A. E. (1982), Atmosphere-Ocean Dynamics, Int. Geophys. Ser., vol. 30, edited by W. L. Donn, 662 pp., Elsevier, New York.
11. Gossard, E. E., and W. H. Hooke (1975), Waves in the Atmosphere, 456 pp., Elsevier, New York.
12. Halliwell, J. J. (1988), Derivation of the Wheeler-DeWitt equation from a path integral for minisuperspace models, Phys. Rev. D, 38, 2468-2481.
13. Hines, C. O. (1960), Internal atmospheric gravity waves at ionospheric heights, Can. J. Phys., 38, 1441-1481.
14. Holton, J. R. (1992), An Introduction to Dynamic Meteorology, 3rd ed., p. 199, Elsevier, New York.
15. Jones, R. M. (1996), Three dimensional ray tracing in the atmosphere, in The Upper Atmosphere, edited by W. Dieminger, G. Hartmann, and R. Leitinger, chap. II.3.1.4, pp. 307-327, Springer, New York. (Errata available at http://cires.colorado.edu/~mjones/pubs/errata2.htm)
16. Jones, R. M. (2001), The dispersion relation for internal acoustic-gravity waves in a baroclinic fluid, Phys. Fluids, 13, 1274-1280.
17. Jones, R. M. (2005), The differential equation for the vertical component w for internal gravity waves in the ocean or atmosphere, including baroclinicity, vorticity, and rate of strain, 18 pp., Coop. Inst. for Res. in Environ. Sci., Boulder, Colo. (Available at http:// cires.colorado.edu/~mjones/dispersion/feb05b.pdf)
18. Jones, R. M., and W. H. Hooke (1986a), The perturbed structure of the neutral atmospheric boundary layer over irregular terrain. I. Model formulation, Boundary Layer Meteorol., 36, 395-416.
19. Jones, R. M., and W. H. Hooke (1986b), The perturbed structure of the neutral atmospheric boundary layer over irregular terrain. II. Model calculations, Boundary Laver Meteorol., 37, 107-127.
20. Jones, W. L. (1967), Propagation of internal gravity waves in fluids with shear flow and rotation, J. Fluid Mech., 30, 439-448.
21. Kennedy, P. J., and M. A. Shapiro (1975), The energy budget in a clear air turbulence zone as observed by aircraft, Mon. Weather Rev., 103, 650-654.
22. Kunze, E. (1985a), Near-inertial wave propagation in geostrophic shear, J. Phys. Oceanogr., 15, 544-565.
23. Kunze, E. (1985b), Corrigendum, J. Phys. Oceanogr., 15, 1355.
24. Lamb, K. G., and J. A. Shore (1992), The influence of horizontal inhomogeneities on the propagation of high-frequency linear internal gravity waves across a baroclinic flow, J. Phys. Oceanogr., 22, 965-975.
25. Lighthill, M. J. (2001), Waves in Fluids, xv, 504 pp., Cambridge Univ. Press, New York.
26. Monin, A. S., and A. M. Yaglom (1987), Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 1, section 6.3, p. 389, MIT Press, Cambridge, Mass.
27. Olson, D. B. (1980), The physical oceanography of two rings observed by the cyclonic ring experiment. part II: Dynamics, J. Phys. Oceanogr., 10, 514-528.
28. Shapiro, M. A. (1974), A multiple structured frontal zone-jet stream system as revealed by meteorologically instrumented aircraft, Mon. Weather Rev., 102, 244-253.
29. Shapiro, M. A., and P. J. Kennedy (1975), Aircraft measurements of wave motions within frontal zone systems, Mon. Weather Rev., 103, 1050-1054.
30. Smith, R. B. (1986), Further development of a theory of lee cyclogenesis, J. Atmos. Sci., 43, 1582-1602.
31. Tennekes, H., and J. L. Lumley (1972), A First Course in Turbulence, xii, 300 pp., MIT Press, Cambridge, Mass.
32. Weinberg, S. (1962), Eikonal method in magnetolrydrodynamics, Phys. Rev., 126, 1899-1909.
33. Weinberg, S. (1972), Gravitation and Cosmology, p. 566, John Wiley, Hoboken, N. J.
34. Young, W. R., and M. Ben Jelloul (1997), Propagation of near-inertial oscillations through a geostrophic flow, J. Mar. Res., 55, 735-766.