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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.
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Qiang, Ji. Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation. United States. doi:10.1103/PhysRevAccelBeams.22.104601.
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Qiang, Ji. Wed . "Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation". United States. doi:10.1103/PhysRevAccelBeams.22.104601.
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@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}
}
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DOI: 10.1103/PhysRevAccelBeams.22.104601
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Works referenced in this record:

Efficiency optimization of a fast Poisson solver in beam dynamics simulation
journal, January 2016

A parallel 3D Poisson solver for space charge simulation in cylindrical coordinates
journal, February 2008

Periodic Poisson model for beam dynamics simulation
journal, March 2016

A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations
journal, June 2010

Three‐dimensional particle simulation of heavy‐ion fusion beams *
journal, March 1992

  • Friedman, Alex; Grote, David P.; Haber, Irving
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
  • DOI: 10.1063/1.860024

An Object-Oriented Parallel Particle-in-Cell Code for Beam Dynamics Simulation in Linear Accelerators
journal, September 2000

  • Qiang, Ji; Ryne, Robert D.; Habib, Salman
  • Journal of Computational Physics, Vol. 163, Issue 2
  • DOI: 10.1006/jcph.2000.6570

A 3D model for ion beam formation and transport simulation
journal, September 2006

Parallel 3D Poisson solver for a charged beam in a conducting pipe
journal, July 2001

Comparison of simulated and observed beam profile broadening in the Proton Storage Ring and the role of space charge
journal, March 2000

  • Galambos, J. D.; Danilov, S.; Jeon, D.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 3, Issue 3
  • DOI: 10.1103/PhysRevSTAB.3.034201

Application of the multigrid method to Poisson's equation in boundary-fitted coordinates
journal, May 1983

Fast direct solver for Poisson equation in a 2D elliptical domain
journal, January 2003

  • Lai, Ming-Chih
  • Numerical Methods for Partial Differential Equations, Vol. 20, Issue 1
  • DOI: 10.1002/num.10080

Symplectic multiparticle tracking model for self-consistent space-charge simulation
journal, January 2017

Efficient three-dimensional Poisson solvers in open rectangular conducting pipe
journal, June 2016

Symplectic particle-in-cell model for space-charge beam dynamics simulation
journal, May 2018

TOUTATIS: A radio frequency quadrupole code
journal, December 2000

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain
journal, June 2006

  • Lai, Ming-Chih; Li, Zhilin; Lin, Xiaobiao
  • Journal of Computational and Applied Mathematics, Vol. 191, Issue 1
  • DOI: 10.1016/j.cam.2005.04.025

A Fast 3D Poisson Solver of Arbitrary Order Accuracy
journal, July 1998

  • Braverman, E.; Israeli, M.; Averbuch, A.
  • Journal of Computational Physics, Vol. 144, Issue 1
  • DOI: 10.1006/jcph.1998.6001

Tensorial Basis Spline Collocation Method for Poisson's Equation
journal, January 2000

  • Plagne, Laurent; Berthou, Jean-Yves
  • Journal of Computational Physics, Vol. 157, Issue 2
  • DOI: 10.1006/jcph.1999.6338

Space charge and octupole driven resonance trapping observed at the CERN Proton Synchrotron
journal, December 2003

  • Franchetti, G.; Hofmann, I.; Giovannozzi, M.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 6, Issue 12
  • DOI: 10.1103/PhysRevSTAB.6.124201

An Accurate Solution of the Poisson Equation by the Chebyshev Collocation Method
journal, January 1993

Pole Condition for Singular Problems: The Pseudospectral Approximation
journal, August 1993

  • Huang, Weizhang; Sloan, David M.
  • Journal of Computational Physics, Vol. 107, Issue 2
  • DOI: 10.1006/jcph.1993.1141

A high order solver for the unbounded Poisson equation
journal, November 2013

  • Hejlesen, Mads Mølholm; Rasmussen, Johannes Tophøj; Chatelain, Philippe
  • Journal of Computational Physics, Vol. 252
  • DOI: 10.1016/j.jcp.2013.05.050

Synergia: An accelerator modeling tool with 3-D space charge
journal, January 2006

  • Amundson, J.; Spentzouris, P.; Qiang, J.
  • Journal of Computational Physics, Vol. 211, Issue 1
  • DOI: 10.1016/j.jcp.2005.05.024

The accurate solution of poisson's equation by expansion in chebyshev polynomials
journal, February 1979

Three-dimensional quasistatic model for high brightness beam dynamics simulation
journal, April 2006

  • Qiang, Ji; Lidia, Steve; Ryne, Robert D.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 9, Issue 4
  • DOI: 10.1103/PhysRevSTAB.9.044204

High order expanding domain methods for the solution of Poisson's equation in infinite domains
journal, June 2016

Three-dimensional Poisson solver for a charged beam with large aspect ratio in a conducting pipe
journal, July 2004

High resolution simulation of beam dynamics in electron linacs for x-ray free electron lasers
journal, October 2009

  • Qiang, J.; Ryne, R. D.; Venturini, M.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 10
  • DOI: 10.1103/PhysRevSTAB.12.100702

Particle-in-cell beam dynamics simulations with a wavelet-based Poisson solver
journal, March 2007

  • Terzić, Balša; Pogorelov, Ilya V.; Bohn, Courtlandt L.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 10, Issue 3
  • DOI: 10.1103/PhysRevSTAB.10.034201

Long-term simulation of space-charge effects
journal, February 2019

  • Qiang, Ji
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 918
  • DOI: 10.1016/j.nima.2018.11.114

A local corrections algorithm for solving Poisson’s equation in three dimensions
journal, January 2007

  • McCorquodale, Peter; Colella, Phillip; Balls, Gregory
  • Communications in Applied Mathematics and Computational Science, Vol. 2, Issue 1
  • DOI: 10.2140/camcos.2007.2.57
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