On nonlinear baroclinic waves and adjustment of pancake dynamics

Theoretical and Computational Fluid Dynamics

Volumn 11, Issue 3-4, 1998, Pages 215-235

  Babin, A ^a,b   Mahalov, A ^c   Nicolaenko, B ^c  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

^b RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000815999     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050090     Document Type: Article

References (43)

1. Babin, A., Mahalov, A., and Nicolaenko, B. (1995). Long-time averaged Euler and Navier-Stokes equations for rotating fluids, in Structure and Dynamics of Nonlinear Waves in Fluids. 1994 IUTAM Conference, K. Kirchgässner and A. Mielke (eds), World Scientific, Singapore, pp. 145-157.
2. Babin, A., Mahalov, A., and Nicolaenko, B. (1996a). Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, Europ. J. Mech. B/Fluids, 15(3), 291-300.
3. Babin, A., Mahalov, A., and Nicolaenko, B. (1996b), Resonances and regularity for Boussinesq equations. Russian J. Math. Phys., 4(4), 417-428.
4. Babin, A., Mahalov, A., and Nicolaenko, B. (1997a), Regularity and integrability of rotating shallow-water equations, C. R. Acad. Sci. Paris Sci. 1, 324, 593-598.
5. Babin, A., Mahalov, A., and Nicolaenko, B. (1997b), Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids, Asympt. Anal., 15(2), 103-150.
6. Babin, A., Mahalov, A., and Nicolaenko, B. (1997c), Global splitting and regularity of rotating shallow-water equations. Europ. J. Mech. B/Fluids, 16(5), 725-754.
7. Babin, A., Mahalov, A., and Nicolaenko, B. (1997), Asymptotics, regularity and wave-front solutions of 3D Euler-Boussinesq equations with rotation, submitted for publication.
8. Babin, A., Mahalov, A., Nicolaenko, B., and Zhou, Y. (1997d), On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations, Theor. and Comp. Fluid Dyn., 9, 223-251.
9. Bartello, P. (1995), Geostrophic adjustment and inverse cascades in rotating stratified turbulence, J. Atmos. Sci., 52(24), 4410-4428.
10. Bartello, P. (1997). Private communication.
11. Bartello, P., Métais, O., and Lesieur, M. (1994), Coherent structures in rotating three-dimensional turbulence, J. Fluid Mech., 273, 1-29.
12. n, measurements of vertical structure: data and models, U.S.A.F. Pl/GPOL Report, Hanscom AFB.
13. Bourgeois, A.J., and Beale, J.T. (1994), Validity of the quasigeostrophic model for large-scale flow in the atmosphere and the ocean. SIAM J. Math. Anal., 25(4), 1023-1068.
14. Drazin, P.G., and Reid, W.H. (1981), Hydrodynamic Stability, Cambridge University Press, Cambridge.
15. Dritschel, D.G., and de la Torre Juarez (1996), The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid, J. Fluid Mech., 328, 129-160.
16. Embid, P.F., and Majda, A.J. (1996), Low Froude number limiting dynamics for stably stratified flow with small or fixed Rossby numbers, Preprint.
17. Farge, M., and Sadourny, R. (1989), Wave-vortex dynamics in rotating shallow layer, J. Fluid Mech., 206, 433-462.
18. Gent, P.R., and McWilliams, J.C. (1983a), Consistent balanced models in bounded and periodic domains, Dyn. Atmos. Oceans, 7, 67-93.
19. Gent, P.R., and McWilliams, J.C. (1983b), Regimes of validity for balanced models, Dynam. Atmos. and Oceans, 7, 167-183.
20. Godeferd, F.S., and Cambon, C. (1994), Detailed investigation of energy transfer in homogeneous stratified turbulence, Phys. Fluids, 6(6), 2084-2100.
21. Herring, J.R., and Métais, O. (1989), Numerical experiments in forced stably stratified turbulence, J. Fluid Mech., 202, 97.
22. Holton, J.R. (1992), An Introduction to Dynamic Meteorology, Academic Press.
23. Hoskins, B.J. (1982), The mathematical theory of frontogenesis. Annu. Rev. Fluid Mech., 14, 131-151.
24. Hoskins, B.J., and Bretherton, F.P. (1972), Atmospheric frontogenesis models: Mathematical formulation and solution, J. Atmos. Sci., 29, 11-37.
25. Keyser, D., and Shapiro, M.A. (1986), A review of the structure and dynamics of upper-level frontal zones, Mon. Weather Rev., 114, 452-499.
26. Lelong, M.-P., and Riley, J. (1991), Internal wave-vortical mode interactions in strongly stratified flows, J. Fluid Mech., 232, 1-19.
27. Lesieur, M. (1987), Turbulence in Fluids, Martinus Nijhoff, Dordrecht.
28. Lilly, D.K. (1983), Stratified turbulence and the mesoscale variability of the atmosphere, J. Atmos. Sci., 40, 749.
29. Mahalov, A. and Marcus, P.S. (1995), Long-time averaged rotating shallow-water equations, Proc. First Asian Computational Fluid Dynamics Conference, W.H. Hui, Y.-K. Kwok, and J.R. Chasnov (eds.), vol. 3, pp. 1227-1230, Hong Kong University of Science and Technology, Hong Kong.
30. Mahalov, A., and Zhou, Y. (1996). Analytical and phenomenological studies of rotating turbulence, Phys. Fluids, 8(8), 2138-2152.
31. Majda, A.J., and Grote, M.J. (1997) Model dynamics and vertical collapse in decaying strongly stratified flows, Phys. Fluids, 9(10), 2932-2940.
32. McWilliams, J.C. (1985), A note on a uniformly valid model spanning the regimes of geostrophic and isotropic stratified turbulence: balanced turbulence, J. Atmos. Sci., 42, 1773-1774.
33. McWilliams, J.C., and Gent, P.R. (1980). Intermediate models of planetary circulations in the atmosphere and ocean, J. Atmos. Sci., 37, 1657-1678.
34. McWilliams J.C., Weiss, J.B., and Yavneh, I. (1994). Anisotropy and coherent vortex structures in planetary turbulence, Science, 264, 410-413.
35. Métais, O., and Herring, J.R. (1989), Numerical experiments of freely evolving turbulence in stably stratified fluids, J. Fluid Mech., 202, 117.
36. Métais, O., Bartello, P., Garnier, E., Riley, J.J. and Lesieur, M. (1996). Inverse cascades in stably stratified rotating turbulence, Dynam. Atmos. Oceans, 23, 193-203.
37. Müller, P., Holloway, G., Henyey, F., and Pomphrey, N. (1986). Nonlinear interactions among internal gravity waves, Rev. Geophys., 24(3), 493-536.
38. Newley, T.M.J., Pearson, H.J., and Hunt, J.C.R. (1991), Stably stratified rotating flow through a group of obstacles, Geophys. Astrophys. Fluid Dynam., 58, 147-171.
39. Pedlosky, J. (1987), Geophysical Fluid Dynamics, 2nd edn., Springer-Verlag, New York.
40. Riley, J.J., Metcalfe, R.W., and Weisman, M.A. (1981), Direct numerical simulations of homogeneous turbulence in density-stratified fluids, Proc. AIP Conf. on Nonlinear. Properties of Internal Waves, B.J. West (ed.), p. 79.
41. Rotunno, R. (1983), On the linear theory of the land and sea breeze, J. Atmos. Sci., 40, 1999-2009.
42. Sadourny, R. (1975), The dynamics of finite-difference models of the shallow-water equations, J. Atmos. Sci., 3, 680-689.
43. Warn, T. (1986), Statistical mechanical equilibria of the shallow-water equations, Tellus, 38A, 1-11.