Numerical simulation of atmospheric electricity problem with unknown ionosphere potential

Authors

DOI:

https://doi.org/10.26089/NumMet.v24r322

Keywords:

global electric circuit, ionospheric potential, finite element method, FreeFEM++

Abstract

The paper considers approaches to the numerical solution of the problem of the distribution of the electric potential in the framework of a two-dimensional model of the atmospheric section of the global electrical circuit. For this model, a nonstandard stationary elliptic boundary value problem with a nonclassical boundary condition is formulated. For the numerical solution of this problem, in order to study the possibility and efficiency of parallelization of calculations, two numerical algorithms based on the finite element method are used. The results of calculations for a model problem are presented, in which the features of the earth’s surface topography are not taken into account, a simple model of conductivity and currents is used.

Author Biographies

Ivan G. Mileshin

Vasily M. Goloviznin

Mikhail M. Khapaev

References

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Published

04-09-2023

How to Cite

Милешин И.Г., Головизнин В.М., Хапаев М.М. Numerical Simulation of Atmospheric Electricity Problem With Unknown Ionosphere Potential // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2023. 24. 305-315. doi 10.26089/NumMet.v24r322

Issue

Section

Methods and algorithms of computational mathematics and their applications