A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm

Rémi Lehe; Manuel Kirchen; Igor A. Andriyash; Brendan B. Godfrey; Jean Luc Vay

doi:10.1016/j.cpc.2016.02.007

A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm

Rémi Lehe
, Manuel Kirchen
, Igor A. Andriyash
, Brendan B. Godfrey
, Jean Luc Vay

Ernest Orlando Lawrence Berkeley National Laboratory
Universität Hamburg
Université Paris-Saclay
University of Maryland, College Park

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

Abstract

We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.

Original language	English
Pages (from-to)	66-82
Number of pages	17
Journal	Computer Physics Communications
Volume	203
DOIs	https://doi.org/10.1016/j.cpc.2016.02.007
Publication status	Published - 1 Jun 2016
Externally published	Yes

Keywords

Cylindrical geometry
Hankel transform
Particle-In-Cell
Pseudo-spectral

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10.1016/j.cpc.2016.02.007

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title = "A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm",

abstract = "We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.",

keywords = "Cylindrical geometry, Hankel transform, Particle-In-Cell, Pseudo-spectral",

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year = "2016",

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language = "English",

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T1 - A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm

AU - Lehe, Rémi

AU - Kirchen, Manuel

AU - Andriyash, Igor A.

AU - Godfrey, Brendan B.

AU - Vay, Jean Luc

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.

AB - We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.

KW - Cylindrical geometry

KW - Hankel transform

KW - Particle-In-Cell

KW - Pseudo-spectral

UR - https://www.scopus.com/pages/publications/84977930043

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DO - 10.1016/j.cpc.2016.02.007

M3 - Article

AN - SCOPUS:84977930043

SN - 0010-4655

VL - 203

SP - 66

EP - 82

JO - Computer Physics Communications

JF - Computer Physics Communications

ER -

A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm

Abstract

Keywords

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