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

Numerical simulation of atmospheric electricity problem with unknown ionosphere potential

Authors

  • Ivan G. Mileshin
  • Vasily M. Goloviznin
  • Mikhail M. Khapaev

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.

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Published

2023-09-04

Issue

Vol. 24 (2023): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Ivan G. Mileshin

Sarov Branch of Moscow State University,
• Student

Vasily M. Goloviznin

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Professor

Mikhail M. Khapaev

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Associate Professor

References

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License

Copyright (c) 2023 И. Г. Милешин, В. М. Головизнин, М. М. Хапаев

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.