О самодействии в методе частиц в ячейках

V.A. Vshivkov; A.V. Terekhov

On the self-force in the particle-in-cell method

Authors

V.A. Vshivkov
A.V. Terekhov

Keywords:

метод частиц в ячейках

задача о распаде разрыва

ядра преобразований

структурированные сетки

разностные методы

Abstract

The effect of a numerical grid on the solution obtained by the particle-in-cell method is considered. It is shown that the solution essentially depends on the form of a model particle (kernel). Several kernels including those with four and three nodes are analytically and numerically analyzed in the one-dimensional case. Some numerical results obtained for the one-dimensional problem of breakdown of a discontinuity in a dispersion medium are discussed. A new modification of the form-factor with a decreased self-force is proposed. This work was supported by the Novosibirsk Technical State University (project RNP.2.2.1.1.3653).

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PDF (Русский)

Published

2008-03-06

Issue

Vol. 9 (2008): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

V.A. Vshivkov

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS)

A.V. Terekhov

The Institute of Computational Mathematics and Mathematical Geophysics of SB RAS (ICM&MG SB RAS)

References

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How to cite

Berendeev E.A., Snytnikov A.V., Berendeev E.A. and Lazareva G.G. Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls // Numerical Methods and Programming. 2013. 14, No 1. 149–154.

TEX CODE:

{\it Berendeev~E.A., Snytnikov~A.V., Berendeev~E.A.~and~Lazareva~G.G.}
Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls~//
Numerical Methods and Programming. 2013.
\textbf{14}, No~1. 149--154.

Berendeev E. , Snytnikov A. , Berendeev E.  et al.,  (2013) “Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls,” Numerical Methods and Programming, vol. 14, no. 1, pp. 149–154.

TEX CODE:

Berendeev~E.~, Snytnikov~A.~, Berendeev~E.~ et~al., (2013)
``Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls,''
{\it Numerical Methods and Programming}, vol.~14, no.~1, pp.~149--154.

E.  Berendeev, A.  Snytnikov, E.  Berendeev et al.,  “Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls,” Numerical Methods and Programming 14, no. 1 (2013): 149–154

TEX CODE:

E.~ Berendeev, A.~ Snytnikov, E.~ Berendeev~et~al.,
``Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls,''
{\it Numerical Methods and Programming}, no.~1 (2013): 149--154

Berendeev E. , Snytnikov A. , Berendeev E.  et al. Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls. Numerical Methods and Programming. 2013;14(1):149–154.(In Russ.).

TEX CODE:

Berendeev~E.~, Snytnikov~A.~, Berendeev~E.~ et~al.
Supercomputer simulation of plasma electron dynamics in a magnetic trap with inverse magnetic mirrors and multipole magnetic walls.
Numerical Methods and Programming. 2013;14(1):149--154.(In Russ.).