GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
|
|
|
|
Nonlinear Shock and Kink Waves with Complete Coriolis Force in Earth's Atmosphere |
YU Xin, ZHAO Qiang |
School of Physics, Peking University, Beijing 100871 |
|
Cite this article: |
YU Xin, ZHAO Qiang 2009 Chin. Phys. Lett. 26 039201 |
|
|
Abstract Nonlinear waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force are studied by using the semi-geostrophic approximation and the method of travelling-wave solution. Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and to identify the nonlinear shock and kink waves. The KdV-Burgers and the compound KdV-Burgers equations are derived, their shock wave and kink wave solution are also obtained.
|
Keywords:
92.10.Ei
52.35.Mw
52.35.Tc
|
|
Received: 06 November 2008
Published: 19 February 2009
|
|
PACS: |
92.10.Ei
|
(Coriolis effects)
|
|
52.35.Mw
|
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
|
|
52.35.Tc
|
(Shock waves and discontinuities)
|
|
|
|
|
[1] Pedlosky J 1987 Geophysical Fluid Dynamics 2nd edn(Berlin: Springer) [2] Phillips N A 1966 J. Atmos. Sci. 23 626 [3] White A A and Bromley R A 1995 Quart. J. Roy. Meteor.Soc. 121 399 [4] Leibovich S and Lele S K 1985 J. Fluid Mech. 150 41 [5] Draghici I 1987 Meteor. Hydrol. 17 45 [6] Beckman A and Diebels S 1994 Geophys. Astrophys.Fluid Dyn. 76 95 [7] Sun W Y 1995 Quart. J. Roy. Meteor. Soc. 121419 [8] Hua B L, Moore D W and Le Gentil S 1997 J. FluidMech. 331 345 [9] Raymond W H 2001 Dyn. Atmos. Oceans 34 23 [10] Thuburn J, Wood N and Staniforth A 2002 Quart. J.Roy.Meteor. Soc. 128 1771 [11] Thuburn J, Wood N and Staniforth A 2002 Quart. J.Roy. Meteor. Soc. 128 1793 [12] Durran D and Bretherton C 2004 J. Atmos. Sci. 61 1982 [13] Zhao Q and Liu S K 2004 Chin. J. Atmos. Sci.28 146 (in Chinese) [14] Gerkema T and Shrira V I 2005 J. Fluid Mech. 529 195 [15] Kasahara A and Gary J M 2006 Tellus A 58 368 [16] Maas L M and Harlander U 2007 J. Fluid Mech. 570 47 [17] Fruman M D and Shepherd T G 2008 J. Atmos. Sci. 65 1927 [18] Zhao Q and Yu X 2008 Chin. J. Geophys. 511304 (in Chinese) [19] Bagchi B and Venkatesan C 1996 J. Phys. Soc. Jpn. 65 2717 [20] Yu J, Ke Y Q, Zhang W J 2004 Commun. Theor. Phys. 41 493 [21] Li M C 1984 Chin. J. Atmos. Sci. 8 143 (inChinese) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|