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This article is cited in 1 scientific paper (total in 1 paper)
Methods and algorithms of computational mathematics and their applications
Algorithms of motion in the particle-in-cell method
E. S. Voropaevaa, K. V. Vshivkovb, L. V. Vshivkovab, G. I. Dudnikovab, A. A. Efimovab a 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.
Received: 14.09.2021
Citation:
E. S. Voropaeva, K. V. Vshivkov, L. V. Vshivkova, G. I. Dudnikova, A. A. Efimova, “Algorithms of motion in the particle-in-cell method”, Num. Meth. Prog., 22:4 (2021), 281–293
Linking options:
https://www.mathnet.ru/eng/vmp1040 https://www.mathnet.ru/eng/vmp/v22/i4/p281
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