DOI: https://doi.org/10.26089/NumMet.v22r418

Algorithms of motion in the particle-in-cell method

Authors

  • Ekaterina S. Voropaeva
  • Konstantin V. Vshivkov
  • Lyudmila V. Vshivkova
  • Galina I. Dudnikova
  • Anna A. Efimova

Keywords:

modification of Boris method
hybrid numerical models
particle-in-cell method
magnetohydrodynamics
kinetic Vlasov equation
Maxwell equations
computational plasma physics

Abstract

in electromagnetic fields and compares this method with various known modifications of the Boris method. The created two-dimensional and three-dimensional algorithms are based on the use of an exact solution of the differential equation for the velocity of a charged particle at a time step. A comparative analysis of the Boris method and its modifications was carried out both in terms of the accuracy of the methods and the time of their operation. A new modification of the Boris method allows more accurate calculations of the trajectory and velocity of a charged particle without a significant increase in the complexity of calculations. It is shown that, when choosing a modification of the Boris method to solve a problem, one should pay attention first of all to the accuracy of the solution, since a simpler and faster scheme may not give a gain in time.

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Published

2021-11-13

Issue

Vol. 22 (2021): Issue 4.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Ekaterina S. Voropaeva

Novosibirsk State University,
• Undergraduate Student

Konstantin V. Vshivkov

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS),
• Researcher

Lyudmila V. Vshivkova

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS),
• Scientific Secretary

Galina I. Dudnikova

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS),
• Chief Researcher

Anna A. Efimova

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS),
• Junior Researcher

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Copyright (c) 2021 Екатерина Сергеевна Воропаева, Константин Витальевич Вшивков, Людмила Витальевна Вшивкова, Галина Ильинична Дудникова, Анна Анатольевна Ефимова

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