Abstract
We have found a new type of large-scale instability in a rotating stratified moist atmosphere with small-scale turbulence. The turbulence is excited by an external small-scale force with a low Reynolds number. We have constructed the theory based on the method of multiscale asymptotic expansions. The nonlinear equations for large-scale motion have been derived in the third order of the perturbation theory. We have investigated the linear instability and stationary nonlinear regimes. Solutions in the form of localized vortex structures or kinks of a new type have been obtained.
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References
A. S. Monin, Theoretical Geophysical Fluid Dynamics (Gidrometeoizdat, Leningrad, 1988; Springer, Dordrecht, 1990).
O. G. Onishchenko, O. A. Pokhotelov, and N. M. Astafieva, Phys. Usp. 51, 577 (2008).
V. I. Petviashvili and O. A. Pokhotelov, Solitary Waves in Plasmas and in the Atmosphere (Energoatomizdat, Moscow, 1989; Gordon and Breach Science, Philadelphia, 1992).
G. D. Aburdzhaniya, Self-Organization of Nonlinear Vortex structures and Vortex Turbulence in Dispersive Media (KomKniga, Moscow, 2006) [in Russian].
A. V. Kolesnichenko and M. Ya. Marov, Turbulence and Self-Organization. Problems in Modeling of Cosmic and Terrestrial Systems (BINOM, Moscow, 2009) [in Russian].
A. V. Tur and V. V. Yanovskii, Hydrodynamical Vortex Structures (Inst. Monokrist. NAN Ukrainy, Khar’kov, 2012) [in Russian].
G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of Incompressible Fluids (Nauka, Moscow, 1972) [in Russian].
B. Ya. Shmerlin and M. V. Kalashnik, Phys. Usp. 56, 473 (2013).
S. S. Moiseev, P. B. Rutkevich, A. V. Tur, and V. V. Yanovskii, Sov. Phys. JETP 67, 294 (1988).
E. A. Lupyan, A. A. Mazurov, P. B. Rutkevich, and A. V. Tur, Sov. Phys. JETP 75, 833 (1992).
S. S. Moiseev, K. R. Oganyan, P. B. Rutkevich, et al., in Integrability and Kinetic Equations for Solitons, Collection of Articles (Nauk. Dumka, Kiev, 1990), p. 280 [in Russian].
G. V. Levina, S. S. Moiseev, and P. B. Rutkevitch, Adv. Fluid Mech. 25, 111 (2000).
V. D. Zimin, G. V. Levina, S. S. Moiseev, and A. V. Tur, Sov. Phys. Dokl. 34, 1003 (1989).
P. B. Rutkevich, J. Exp. Theor. Phys. 77, 933 (1993).
L. L. Kitchatinov, G. Rudiger, and G. Khomenko, Astron. Astrophys. 287, 320 (1994).
L. M. Smith and F. Waleffe, Phys. Fluids 11, 1608 (1999).
L. M. Smith and F. Waleffe, J. Fluid Mech. 451, 145 (2002).
Yu. A. Berezin, V. P. Zhukov, Izv. Akad. Nauk SSSR, Ser. Mekh. Zhidk. Gaza 6, 61 (1990).
A. V. Tur and V. V. Yanovsky, arXiv:1204.5024v1.
A. V. Tur and V. V. Yanovsky, Open J. Fluid Dyn. 3, 64 (2013).
E. A. Novikov, Sov. Phys. JETP 20, 1290 (1964).
V. I. Klyatskin, Stochastic Equations and Waves in Randomly Inhomogeneous Medium (Nauka, Moscow, 1980) [in Russian].
U. Frishe, Z. S. She, and P. L. Sulem, Physica D 28, 382 (1987).
M. Kopp, A. Tur, and V. Yanovsky, Open J. Fluid Dyn. 5, 128 (2015).
L. T. Matveev, Course of General Meteorology. Physics of the Atmosphere (Gidrometeoizdat, Leningrad, 1984) [in Russian].
N. I. Tolmacheva, Geogr. Vestn., Meteorol. 2 (33), 46 (2015).
S. S. Moiseev, R. Z. Sagdeev, A. V. Tur, et al., Sov. Phys. Dokl. 28, 926 (1983).
M. A. German, Satellite Meteorology. Principles of Cosmic Research Methods in Meteorology (Gidrometeoizdat, Leningrad, 1975) [in Russian].
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Original Russian Text © M.I. Kopp, A.V. Tur, V.V. Yanovsky, 2017, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 151, No. 6, pp. 1179–1192.
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Kopp, M.I., Tur, A.V. & Yanovsky, V.V. Nonlinear vortex dynamo in a rotating stratified moist atmosphere. J. Exp. Theor. Phys. 124, 1010–1022 (2017). https://doi.org/10.1134/S1063776117060127
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DOI: https://doi.org/10.1134/S1063776117060127