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.
- Authors:
-
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. of Hamburg, Hamburg (Germany)
- Univ. Paris-Saclay, Palaiseau cedex (France)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Maryland, College Park, MD (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1393047
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Physics Communications
- Additional Journal Information:
- Journal Volume: 203; Journal Issue: C; Journal ID: ISSN 0010-4655
- Publisher:
- Elsevier
- 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
Citation Formats
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., 2016.
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. https://doi.org/10.1016/j.cpc.2016.02.007
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean -Luc. Wed .
"A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm". United States. https://doi.org/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 = {Wed Feb 17 00:00:00 EST 2016},
month = {Wed Feb 17 00:00:00 EST 2016}
}
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