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528 Plenary session
This work was supported by the Russian Science, project 18.11.00024.�.
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Study of algorithms for solvingthe motion equations in the particle.in.cells method
V. A. Vshivkov1, E. S. Voropaeva2, A. A. Efimova1, G. I. Dudnikova1
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS
2Novosibirsk State University
Email: vsh@ssd.sscc.ru
DOI 10.24412/cl.35065.2021.1.00.65
The paper is dedecated to the study and creation of algorithms and programs for modeling the motion of
plasma particles. The movement of charged particles in an electromagnetic field in a vacuum occurs under the
action of the Lorentz force. Particle motion algorithms are part of the particle.in.cell method. Since the parti.
cle.in.cell method uses a very large number of model particles, it is important to economically calculate the
velocities and coordinates of the particles at the time step. In 1970, Boris proposed a scheme that was economical
in terms of the number of operations, which had a second order of approximation. In recent years,
works have appeared in which modifications of the Boris method have been proposed. It was argued that new
modifications would allow calculations for long physical times. A new economical and more accurate scheme is
proposed for solving the equations of motion at a time step.
Since in practical calculations the values of the electric and magnetic fields at the location of the particle
are obtained by interpolation from the nodes of the computational grid, the influence of interpolation on the
running time of the algorithm was investigated.It turned out that the interpolation time in three.dimensional
calculations takes an order of magnitude longer than it takes to calculate the motion of a particle.A method
for reducing the cost of field interpolation is proposed.
This work was supported by the Russian Science Foundation, project 19.71.20026.
