NUMERICAL ALGORITHM FOR SOLVING 3-D EQUATIONS OF MICROPULSATIONS THROUGH IONOSPHERE
K.G. Gaynulin, V.A. Zhmaylo, Yu.F. Kir'yanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2002. Вып.3. С. 53-59.
For a wide range of issues on ionospherical plasma dynamics, such as the affects associated with generation and micropulsations transmission with regard to effect of geomagnetic field, equations of plasma dynamics are used. The key part in the analysis of perturbations transmission in plasma is played by Maxwell equations for electromagnetic field, an equation of quasi-neutral ionospherical plasma dynamics and Ohm's law analog. The paper gives a system of micropulsation transmission equations and numerical algorithm for its solution in a 3-D square coordinate system. When numerically solved a complex nonlinear system of equations is reduced to the equation of the second order in time variable for the electric field  strength by elimination of the magnetic field  strength vectors, a current density with the conduction  and a speed of the plasma  motion. A numerical scheme has been designed on the basis of a longitudinal-transversal directions method similar to a well-known Duglas scheme for approximating the obtained 3-D equation system relatively vector projections. The scheme is implicit in each space variable with the weight factor  . A numerical technique was tested for a one-dimensional problem, having an analytical solution. Results of axially symmetric problem computations using 3-D technique were compared with those of computations performed with 2-D code. Test computations results, demonstrating efficiency and operability of the proposed technique are presented.
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