Standard

New motion algorithm in the particle-in-cell method. / Voropaeva, Ekaterina; Vshivkov, Konstantin; Vshivkova, Lyudmila et al.

In: Journal of Physics: Conference Series, Vol. 2028, No. 1, 012011, 21.10.2021.

Research output: Contribution to journalConference articlepeer-review

Harvard

Voropaeva, E, Vshivkov, K, Vshivkova, L, Dudnikova, G & Efimova, A 2021, 'New motion algorithm in the particle-in-cell method', Journal of Physics: Conference Series, vol. 2028, no. 1, 012011. https://doi.org/10.1088/1742-6596/2028/1/012011

APA

Voropaeva, E., Vshivkov, K., Vshivkova, L., Dudnikova, G., & Efimova, A. (2021). New motion algorithm in the particle-in-cell method. Journal of Physics: Conference Series, 2028(1), [012011]. https://doi.org/10.1088/1742-6596/2028/1/012011

Vancouver

Voropaeva E, Vshivkov K, Vshivkova L, Dudnikova G, Efimova A. New motion algorithm in the particle-in-cell method. Journal of Physics: Conference Series. 2021 Oct 21;2028(1):012011. doi: 10.1088/1742-6596/2028/1/012011

Author

Voropaeva, Ekaterina ; Vshivkov, Konstantin ; Vshivkova, Lyudmila et al. / New motion algorithm in the particle-in-cell method. In: Journal of Physics: Conference Series. 2021 ; Vol. 2028, No. 1.

BibTeX

@article{81a098cfe9e24163abef038cad760d4a,
title = "New motion algorithm in the particle-in-cell method",
abstract = "The article proposes a new method for solving the equations of motion of charged particles in electromagnetic fields. In the algorithm, the velocity of a charged particle at a time step is computed in accordance with the exact solution of the differential equation. The method has been compared with various known modifications of the Boris method. The comparison was carried out both in terms of the accuracy of the methods and the time of their operation. A new modification of the method uses the fact that the electric and magnetic fields are constant at a time step. It allows one to compute more accurately the trajectory and velocity of a charged particle without significant increasing the complexity of the computations. It has been 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 = "Ekaterina Voropaeva and Konstantin Vshivkov and Lyudmila Vshivkova and Galina Dudnikova and Anna Efimova",
note = "Funding Information: This work was supported by the Russian Science Foundation, project 19-71-20026. Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; 4th Virtual Workshop on Numerical Modeling in MHD and Plasma Physics: Methods, Tools, and Outcomes, MHD-PP 2021 ; Conference date: 12-10-2021 Through 14-10-2021",
year = "2021",
month = oct,
day = "21",
doi = "10.1088/1742-6596/2028/1/012011",
language = "English",
volume = "2028",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - New motion algorithm in the particle-in-cell method

AU - Voropaeva, Ekaterina

AU - Vshivkov, Konstantin

AU - Vshivkova, Lyudmila

AU - Dudnikova, Galina

AU - Efimova, Anna

N1 - Funding Information: This work was supported by the Russian Science Foundation, project 19-71-20026. Publisher Copyright: © 2021 Institute of Physics Publishing. All rights reserved.

PY - 2021/10/21

Y1 - 2021/10/21

N2 - The article proposes a new method for solving the equations of motion of charged particles in electromagnetic fields. In the algorithm, the velocity of a charged particle at a time step is computed in accordance with the exact solution of the differential equation. The method has been compared with various known modifications of the Boris method. The comparison was carried out both in terms of the accuracy of the methods and the time of their operation. A new modification of the method uses the fact that the electric and magnetic fields are constant at a time step. It allows one to compute more accurately the trajectory and velocity of a charged particle without significant increasing the complexity of the computations. It has been 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.

AB - The article proposes a new method for solving the equations of motion of charged particles in electromagnetic fields. In the algorithm, the velocity of a charged particle at a time step is computed in accordance with the exact solution of the differential equation. The method has been compared with various known modifications of the Boris method. The comparison was carried out both in terms of the accuracy of the methods and the time of their operation. A new modification of the method uses the fact that the electric and magnetic fields are constant at a time step. It allows one to compute more accurately the trajectory and velocity of a charged particle without significant increasing the complexity of the computations. It has been 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.

UR - http://www.scopus.com/inward/record.url?scp=85118554537&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2028/1/012011

DO - 10.1088/1742-6596/2028/1/012011

M3 - Conference article

AN - SCOPUS:85118554537

VL - 2028

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012011

T2 - 4th Virtual Workshop on Numerical Modeling in MHD and Plasma Physics: Methods, Tools, and Outcomes, MHD-PP 2021

Y2 - 12 October 2021 through 14 October 2021

ER -

ID: 34598681