Numerical investigation of high-energy plasmoid behavior in the upper ionosphere. Part~2. Development of the three-dimensional model
Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 3-23

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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.
@article{MM_2004_16_8_a0,
     author = {A. S. Kholodov and Ya. A. Kholodov and E. L. Stupitsky and A. J. Repin},
     title = {Numerical investigation of high-energy plasmoid behavior in the upper ionosphere. {Part~2.} {Development} of the three-dimensional model},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--23},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_8_a0/}
}
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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. Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 3-23. http://geodesic.mathdoc.fr/item/MM_2004_16_8_a0/