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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Univ. of Hamburg, Hamburg (Germany)
  3. Univ. Paris-Saclay, Palaiseau cedex (France)
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Maryland, College Park, MD (United States)
Publication Date:
Grant/Contract Number:
AC02-05CH11231
Type:
Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 203; Journal Issue: C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; particle-in-cell; pseudo-spectral; Hankel transform; cylindrical geometry
OSTI Identifier:
1393047

Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean -Luc. A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm. United States: N. p., Web. doi:10.1016/j.cpc.2016.02.007.
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., & Vay, Jean -Luc. A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm. United States. doi:10.1016/j.cpc.2016.02.007.
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean -Luc. 2016. "A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm". United States. doi:10.1016/j.cpc.2016.02.007. https://www.osti.gov/servlets/purl/1393047.
@article{osti_1393047,
title = {A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm},
author = {Lehe, Remi and Kirchen, Manuel and Andriyash, Igor A. and Godfrey, Brendan B. and Vay, Jean -Luc},
abstractNote = {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.},
doi = {10.1016/j.cpc.2016.02.007},
journal = {Computer Physics Communications},
number = C,
volume = 203,
place = {United States},
year = {2016},
month = {2}
}