This article is cited in 1 paper

Methods and algorithms of computational mathematics and their applications

Algorithms of motion in the particle-in-cell method

E. S. Voropaeva^a, K. V. Vshivkov^b, L. V. Vshivkova^b, G. I. Dudnikova^b, A. A. Efimova<sup>b

a</sup> Novosibirsk State University
^b The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICMMG SB RAS)

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.

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

UDC: 519.688

Received: 14.09.2021

DOI: 10.26089/NumMet.v22r418