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Matem. Mod., 2004, Volume 16, Number 8, Pages 3–23 (Mi mm316)  

This article is cited in 17 scientific papers (total in 18 papers)

Numerical investigation of high-energy plasmoid behavior in the upper ionosphere. Part 2. Development of the three-dimensional model

A. S. Kholodovab, Ya. A. Kholodovb, E. L. Stupitskyab, A. J. Repina

a Central Institute of Physics and Technology
b Moscow Institute of Physics and Technology

Abstract: We develop a new modification for the monotone conservative variant of the grid-characteristic method of 2-3 order of approximation. The general algorithm of the transition from the known state at $t=t^n$ to the desired one at the instant $t=t^{n+1}$ includes the splitting in spatial variables. If there are discontinuities of great intensity, it includes the splitting in “the physical processes” as well (the “gas-dynamic” stage, the “magnetic” stage, and the stage of calculating the magnetic field diffusion). We carry out the numerical investigations of the evolution of the strong plasma disturbances in the near-Earth space to times of the order of 6 sec. We demonstrate the considerable influence of the nonhomogeneity of the exponential atmosphere and the geomagnetic field on the structure of the plasma flow.

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Received: 01.08.2003

Citation: A. S. Kholodov, Ya. A. Kholodov, E. L. Stupitsky, A. J. Repin, “Numerical investigation of high-energy plasmoid behavior in the upper ionosphere. Part 2. Development of the three-dimensional model”, Matem. Mod., 16:8 (2004), 3–23

Citation in format AMSBIB
\Bibitem{KhoKhoStu04}
\by A.~S.~Kholodov, Ya.~A.~Kholodov, E.~L.~Stupitsky, A.~J.~Repin
\paper Numerical investigation of high-energy plasmoid behavior in the upper ionosphere. Part~2. Development of the three-dimensional model
\jour Matem. Mod.
\yr 2004
\vol 16
\issue 8
\pages 3--23
\mathnet{http://mi.mathnet.ru/mm316}
\zmath{https://zbmath.org/?q=an:1121.86004}


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    This publication is cited in the following articles:
    1. Ya. A. Kholodov, A. S. Kholodov, E. L. Stupitskii, A. Yu. Repin, “Chislennye issledovaniya povedeniya plazmennogo oblaka v verkhnei ionosfere”, Matem. modelirovanie, 17:11 (2005), 43–62  mathnet  zmath
    2. E. L. Stupitskii, M. O. Vasilev, A. Yu. Repin, A. S. Kholodov, Ya. A. Kholodov, “Formirovanie krupnomasshtabnogo struinogo techeniya v rezultate razvitiya zhelobkovoi neustoichivosti”, Matem. modelirovanie, 18:1 (2006), 17–28  mathnet  zmath
    3. Stupitsky, EL, “Specific features of explosive plasma flows in the near-earth space”, Geomagnetism and Aeronomy, 46:1 (2006), 23  crossref  isi  scopus
    4. A. S. Kholodov, Ya. A. Kholodov, “Monotonicity criteria for difference schemes designed for hyperbolic equations”, Comput. Math. Math. Phys., 46:9 (2006), 1560–1588  mathnet  crossref  mathscinet  elib  elib
    5. N. E. Lavrinenko, A. Yu. Repin, E. L. Stupitskii, A. S. Kholodov, “Osobennosti povedeniya plazmennoi oblasti, obrazuemoi vzryvom v verkhnei atmosfere na vysotakh 100–120 km”, Matem. modelirovanie, 19:5 (2007), 59–71  mathnet  zmath
    6. B. Yu. Krysanov, V. E. Kunitsyn, A. S. Kholodov, “MHD-based simulation of ionospheric perturbations generated in the atmospheric surface layer”, Comput. Math. Math. Phys., 51:2 (2011), 264–283  mathnet  crossref  mathscinet  isi  elib
    7. Kholodov A.S., Vasil'ev M.O., Molokov E.A., “Magnetohydrodynamic models of the upper atmosphere of Earth and some applications thereof”, Izv Atmos Ocean Phys, 47:1 (2011), 87–107  crossref  isi  elib  scopus
    8. Kholodov A.S., Vasilev M.O., Molokov E.A., “Chislennye magnitogidrodinamicheskie modeli verkhnei atmosfery zemli i nekotorye ikh prilozheniya”, Izvestiya Rossiiskoi akademii nauk. Fizika atmosfery i okeana, 47:1 (2011), 96–117  elib
    9. Stupitskii E.L., Kholodov A.S., “Modelirovanie dinamiki plazmennogo sgustka vysokoi udelnoi energii v verkhnei atmosfere. 1. fizika protsessov i chislennoe modelirovanie rannei stadii razleta i vzaimodeistviya plazmennogo sgustka s ionosferoi i geomagnitnym polem (obzor)”, Geomagnetizm i aeronomiya, 52:4 (2012), 435–435  elib
    10. Stupitsky E.L. Kholodov A.S., “Modeling the Dynamics of a Plasma Bulge with a High Specific Energy in the Upper Atmosphere. 2. Numerical Simulation and Physical Features of a Large-Scale Plasma Flow at its Late Development Stage: a Review”, Geomagn. Aeron., 52:5 (2012), 561–590  crossref  isi  elib  scopus
    11. Stupitskii E.L., Kholodov A.S., “Modeling the Dynamics of a High Specific Energy Plasma Bulge in the Upper Atmosphere: 1. Physics of the Processes and Numerical Simulation of the Early Stage of Plasma Bulge Expansion and Interaction with the Ionosphere and Geomagnetic Field: a Review”, Geomagn. Aeron., 52:4 (2012), 411–430  crossref  isi  elib  scopus
    12. A. S. Kholodov, “Ob evolyutsii vozmuschenii, vyzvannykh dvizheniem meteoroidov v atmosfere Zemli”, Kompyuternye issledovaniya i modelirovanie, 5:6 (2013), 993–1030  mathnet  crossref
    13. Khokhlov N.I. Petrov I.B., “On one class of high-order compact grid-characteristic schemes for linear advection”, Russ. J. Numer. Anal. Math. Model, 31:6 (2016), 355–368  crossref  mathscinet  zmath  isi  scopus
    14. Motorin A.A. Stupitsky E.L. Kholodov A.S., “Numerical simulation of the interaction between two high-energy plasma bunches in the ionosphere”, Geomagn. Aeron., 56:4 (2016), 464–474  crossref  isi  elib  scopus
    15. Motorin A.A. Stupitsky E.L. Kholodov A.S., “Approximate method for estimating plasma ionization characteristics based on numerical simulation of the dynamics of a plasma bunch with a high specific energy in the upper ionosphere”, Geomagn. Aeron., 56:4 (2016), 475–481  crossref  isi  elib  scopus
    16. Pavlov V.A., Lebedev S.V., “Nonlinear Evolution of the Atmosphere and Ionosphere Above a Seismic Epicenter. II. Numerical Simulation”, Geomagn. Aeron., 57:5 (2017), 602–609  crossref  isi  scopus
    17. A. I. Lobanov, “Nauchnye i pedagogicheskie shkoly Aleksandra Sergeevicha Kholodova”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 561–579  mathnet  crossref
    18. V. A. Andruschenko, E. L. Stupitskii, “Chislennye issledovaniya struktury vozmuschennykh oblastei, obrazovannykh moschnymi vzryvami na razlichnykh vysotakh. Obzor”, Kompyuternye issledovaniya i modelirovanie, 12:1 (2020), 97–140  mathnet  crossref
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