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Matem. Mod., 2017, Volume 29, Number 9, Pages 33–48 (Mi mm3885)  

Implementation of particle-in-cell method on unstructured grids for numerical modeling of plasma devices

A. S. Dikalyukabc, S. E. Kuratovabc

a Moscow Institute of Physics and Technology (MIPT), Dolgoprudny
b Institute for Problems in Mechanics RAS (IPMech), Moscow
c All-Russia Research Institute of Automatics (VNIIA), Moscow

Abstract: Methods and algorithms in the basis of computer program that implements axisymmetric electrostatic variant of particle-in-cell method on unstructured triangular grids are presented. Within the framework of the considered approach the Poisson equation is approximated using finite volume method. For the solution of the discritized Poisson equation multigrid method is used. Trajectories of the particles are computed using non-relativistic Boris method. Methods of interpolation of electric field on unstructured grids and determination of space charge in the computational area are discussed. Special attention is paid to the features of the applied methods specific to axisymmetric geometry. Developed computer program is tested using the problem of plane diode operated in the space charge regime.

Keywords: particle-in-cell method, unstructured triangular grids, two-dimensional Child–Langmuir problem.

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English version:
Mathematical Models and Computer Simulations, 2018, 10:2, 198–208

Received: 24.09.2016

Citation: A. S. Dikalyuk, S. E. Kuratov, “Implementation of particle-in-cell method on unstructured grids for numerical modeling of plasma devices”, Matem. Mod., 29:9 (2017), 33–48; Math. Models Comput. Simul., 10:2 (2018), 198–208

Citation in format AMSBIB
\Bibitem{DikKur17}
\by A.~S.~Dikalyuk, S.~E.~Kuratov
\paper Implementation of particle-in-cell method on unstructured grids for numerical modeling of plasma devices
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 9
\pages 33--48
\mathnet{http://mi.mathnet.ru/mm3885}
\elib{http://elibrary.ru/item.asp?id=29972278}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 2
\pages 198--208
\crossref{https://doi.org/10.1134/S2070048218020059}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044928189}


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