Algorithms of motion in the particle-in-cell method




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


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.

Author Biographies

Ekaterina S. Voropaeva

Novosibirsk State University,
• Undergraduate Student

Konstantin V. Vshivkov

Lyudmila V. Vshivkova

Galina I. Dudnikova

Anna A. Efimova


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How to Cite

Воропаева Е.С., Вшивков К.В., Вшивкова Л.В., Дудникова Г.И., Ефимова А.А. Algorithms of Motion in the Particle-in-Cell Method // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2021. 22. 281-293. doi 10.26089/NumMet.v22r418



Methods and algorithms of computational mathematics and their applications