Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method

Emmanuel Frénod; Francesco Salvarani; Eric Sonnendrucker

doi:10.1142/S0218202509003395

Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method

Emmanuel Frénod
, Francesco Salvarani
, Eric Sonnendrucker

South Brittany University
University of Pavia
Universit Louis Pasteur
CALVI-INRIA Lorraine

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

28 Scopus citations

Abstract

We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

Original language	English
Pages (from-to)	175-197
Number of pages	23
Journal	Mathematical Models and Methods in Applied Sciences
Volume	19
Issue number	2
DOIs	https://doi.org/10.1142/S0218202509003395
State	Published - Feb 2009
Externally published	Yes

Keywords

Homogenization
Kinetic equations
Two-scale PIC method
Two-scaleconvergence
Vlasov-Poissonsystem

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10.1142/S0218202509003395

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title = "Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method",

abstract = "We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.",

keywords = "Homogenization, Kinetic equations, Two-scale PIC method, Two-scaleconvergence, Vlasov-Poissonsystem",

author = "Emmanuel Fr{\'e}nod and Francesco Salvarani and Eric Sonnendrucker",

note = "Funding Information: The authors acknowledge financial support from the project HYKE, “Hyperbolic and Kinetic Equations: Asymptotics, Numerics, Analysis” financed by the European Union under Contract Number HPRN-CT-2002-00282. The second author thanks the Universit{\'e} Louis Pasteur, where this paper has been partially written, for hospitality.",

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T1 - Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method

AU - Frénod, Emmanuel

AU - Salvarani, Francesco

AU - Sonnendrucker, Eric

N1 - Funding Information: The authors acknowledge financial support from the project HYKE, “Hyperbolic and Kinetic Equations: Asymptotics, Numerics, Analysis” financed by the European Union under Contract Number HPRN-CT-2002-00282. The second author thanks the Université Louis Pasteur, where this paper has been partially written, for hospitality.

PY - 2009/2

Y1 - 2009/2

N2 - We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

AB - We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

KW - Homogenization

KW - Kinetic equations

KW - Two-scale PIC method

KW - Two-scaleconvergence

KW - Vlasov-Poissonsystem

UR - https://www.scopus.com/pages/publications/65249131129

U2 - 10.1142/S0218202509003395

DO - 10.1142/S0218202509003395

M3 - Article

AN - SCOPUS:65249131129

SN - 0218-2025

VL - 19

SP - 175

EP - 197

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 2

ER -

Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method

Abstract

Keywords

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