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}
}
DOI: 10.1103/PhysRevAccelBeams.22.104601
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