Research output: Contribution to journal › Conference article › peer-review
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 journal › Conference article › peer-review
}
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