A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the "water bag" methods

N. E. Andreev; V. P. Silin; G. L. Stenchikov

doi:10.1016/0041-5553(79)90076-4

A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the "water bag" methods

N. E. Andreev^*, V. P. Silin, G. L. Stenchikov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

TO STUDY processes in a collisionless plasma a new numerical method is proposed in which Vlasov's equation for the electrons is solved by the method of particles in a cell, and the ion equation by the 'water bag" method. The efficiency of the proposed approach for the numerical simulation of the interaction of intense electromagnetic radiation with a plasma is demonstrated.

Original language	English (US)
Pages (from-to)	170-178
Number of pages	9
Journal	USSR Computational Mathematics and Mathematical Physics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/0041-5553(79)90076-4
State	Published - 1979
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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10.1016/0041-5553(79)90076-4

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title = "A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the {"}water bag{"} methods",

abstract = "TO STUDY processes in a collisionless plasma a new numerical method is proposed in which Vlasov's equation for the electrons is solved by the method of particles in a cell, and the ion equation by the 'water bag{"} method. The efficiency of the proposed approach for the numerical simulation of the interaction of intense electromagnetic radiation with a plasma is demonstrated.",

author = "Andreev, {N. E.} and Silin, {V. P.} and Stenchikov, {G. L.}",

year = "1979",

doi = "10.1016/0041-5553(79)90076-4",

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AU - Andreev, N. E.

AU - Silin, V. P.

AU - Stenchikov, G. L.

PY - 1979

Y1 - 1979

N2 - TO STUDY processes in a collisionless plasma a new numerical method is proposed in which Vlasov's equation for the electrons is solved by the method of particles in a cell, and the ion equation by the 'water bag" method. The efficiency of the proposed approach for the numerical simulation of the interaction of intense electromagnetic radiation with a plasma is demonstrated.

AB - TO STUDY processes in a collisionless plasma a new numerical method is proposed in which Vlasov's equation for the electrons is solved by the method of particles in a cell, and the ion equation by the 'water bag" method. The efficiency of the proposed approach for the numerical simulation of the interaction of intense electromagnetic radiation with a plasma is demonstrated.

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U2 - 10.1016/0041-5553(79)90076-4

DO - 10.1016/0041-5553(79)90076-4

M3 - Article

AN - SCOPUS:49249154070

SN - 0041-5553

VL - 19

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EP - 178

JO - USSR Computational Mathematics and Mathematical Physics

JF - USSR Computational Mathematics and Mathematical Physics

IS - 1

ER -

A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the "water bag" methods

Abstract

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