Abstract
In this paper, we performed a numerical simulation for the conditions of the equatorial F‑region of the Earth’s ionosphere using the two-dimensional electrodynamically consistent mathematical MI2 model. The development time of ionospheric bubbles is shown to depend sufficiently strongly on the vertical scale and less strongly on the horizontal scale of the initial irregularity. Ionospheric bubbles developed more slowly at the generation of instability by increasing the plasma concentration than by depleting a plasma. On increasing the initial irregularity scale, three metric thresholds are experimentally found.
Similar content being viewed by others
REFERENCES
S. L. Ossakow, S. T. Zalesak, B. E. McDonald, and P. K. Chaturvedi, “Nonlinear equatorial spread-F: Dependence of altitude of the F-peak and bottomside background electron density gradient scale length,” J. Geophys. Res. A 84, 17–39 (1979).
C. R. Martinis, M. J. Mendillo, and J. Aarons, “Toward a synthesis of equatorial spread-F onset and suppression during geomagnetic storms,” J. Geophys. Res. A 110, A07306 (2005). https://doi.org/10.1029/2003JA0101362
H. Kil, R. A. Heelis, L. J. Paxton., and S. J. Oh, “Formation of a plasma depletion shell in the equatorial ionosphere,” J. Geophys. Res. A 114, A11302 (2009).
D. L. Hysell, E. Kudeki, and J. L. Chau, “Possible ionospheric preconditioning by shear low leading to equatorial spread F,” Ann. Geophys. 23, 2647–2655 (2005).
S. T. Zalesak, S. L. Ossakow, and P. K. Chaturvedi, “Nonlinear equatorial spread-F: the effect of neutral winds and background Pedersen conductivity,” J. Geophys. Res. 87, 151–166 (1982).
B. N. Gershman, Dynamics of Ionospheric Plasma (Nauka, Moscow, 1974) [in Russian].
S. Matsievsky, N. Kashchenko, S. Ishanov, and L. Zinin, “3D modeling of equatorial F-scattering: comparison of MI3 and SAMI3 models,” Vestn. Balt. Univ. Kanta, No.4, 102–105 (2013).
N. M. Kashchenko and S. V. Matsievsky, “Mathematical modeling of instabilities of the equatorial F-layer of the ionosphere,” Vestn. Kaliningr. Univ., Ser. Inform. Telekommun., No. 3, 59–68 (2003).
M. N. Fatkullin and Yu. S. Sitnov, “Dipolar coordinate system and its some features,” Geomagn. Aeron. 12, 333–335 (1972).
A. E. Hedin, J. E. Salah, J. V. Evans, et al., “A global thermospheric model based on mass spectrometer and incoherent scatter data MSIS 1. N2 density and temperature,” J. Geophys. Res. A 82, 2139-2147 (1977).
A. E. Hedin, C. A. Reber, G. P. Newton, et al., “A global thermospheric model based on mass spectrometer and incoherent scatter data MSIS 2. Composition,” J. Geophys. Res. A 82, 2148–2156 (1977).
Guide to Reference and Standard Ionosphere Models (Am. Inst. Aeronaut. Astronaut., 2011).
J. D. Huba, G. Joyce, and J. Krall, “Three-dimensional modeling of equatorial spread F,” in Aeronomy of the Earth’s Atmosphere and Ionosphere, IAGA Special Sopron Book Series (Springer, 2011), Vol. 2, pp. 211–218.
V. V. Medvedev, S. A. Ishanov, and V. I. Zenkin, “Self-consistent model of the lower ionosphere,” Geomagn. Aeron. 42, 745–754 (2002).
V. V. Medvedev, S. A. Ishanov, and V. I. Zenkin, “Effect of vibrationally excited nitrogen on recombination in ionospheric plasma,” Geomagn. Aeron. 43, 231–238 (2003).
S. A. Ishanov, L. V. Zinin, S. V. Klevtsur, S. V. Matsievsky, and V. I. Saveliev, “Simulation of longitudinal variations of Earth ionosphere parameters,” Mat. Model. 28 (3), 64–78 (2016).
D. N. Anderson and P.A Berhardt, “Modelling the effects of an H-gas release on the equatorial ionosphere,” J. Geophys. Res. 83, 4777–4790 (1978).
P. A. Bernhardt, “Three-dimensional, time-dependent modeling of neutral gas diffusion in a nonuniform, chemically reactive atmosphere,” J. Geophys. Res. 84, 793–802 (1979).
M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, and V. S. Chevanin, “A version of essentially nonoscillatory high_order accurate difference schemes for systems of conservation laws,” Math. Models Comput. Simul. 2, 304–316 (2010).
A. V. Safronov, “Accuracy estimation and comparative analysis of difference schemes of high-order approximation,” Vychisl. Metody Programmir. 11, 137–143 (2010).
B. van Leer, “Upwind and high-resolution methods for compressible flow: from donor cell to residual-distribution schemes,” Commun. Comp. Phys. 6, 192–206 (2006).
ACKNOWLEDGMENTS
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00265.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by A. Ivanov
Rights and permissions
About this article
Cite this article
Kashchenko, N.M., Ishanov, S.A. & Matsievsky, S.V. Rayleigh-Taylor Instability Development in the Equatorial Ionosphere and a Geometry of an Initial Irregularity. Math Models Comput Simul 11, 341–348 (2019). https://doi.org/10.1134/S2070048219030116
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S2070048219030116