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Title: Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation

Abstract

Space-charge effects play an important role in high intensity accelerators. These effects can be studied self-consistently by solving the Poisson equation with the dynamically evolved charge density distribution subject to appropriate boundary conditions. In this paper, two computationally efficient methods are proposed to solve the Poisson equation inside an elliptical perfectly conducting pipe. One method uses a spectral method and the other uses a spectral finite difference method. The former method has a high accuracy and the latter one has a computational complexity of O(N log(N)), where N is the total number of unknowns. These methods implemented in a beam dynamics tracking code enable the fast simulation of space-charge effects in an accelerator with an elliptical conducting pipe.

Authors:
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1571533
Alternate Identifier(s):
OSTI ID: 1580954
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 22 Journal Issue: 10; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Qiang, Ji. Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation. United States: N. p., 2019. Web. doi:10.1103/PhysRevAccelBeams.22.104601.
Qiang, Ji. Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation. United States. doi:10.1103/PhysRevAccelBeams.22.104601.
Qiang, Ji. Wed . "Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation". United States. doi:10.1103/PhysRevAccelBeams.22.104601.
@article{osti_1571533,
title = {Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation},
author = {Qiang, Ji},
abstractNote = {Space-charge effects play an important role in high intensity accelerators. These effects can be studied self-consistently by solving the Poisson equation with the dynamically evolved charge density distribution subject to appropriate boundary conditions. In this paper, two computationally efficient methods are proposed to solve the Poisson equation inside an elliptical perfectly conducting pipe. One method uses a spectral method and the other uses a spectral finite difference method. The former method has a high accuracy and the latter one has a computational complexity of O(N log(N)), where N is the total number of unknowns. These methods implemented in a beam dynamics tracking code enable the fast simulation of space-charge effects in an accelerator with an elliptical conducting pipe.},
doi = {10.1103/PhysRevAccelBeams.22.104601},
journal = {Physical Review Accelerators and Beams},
number = 10,
volume = 22,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.22.104601

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