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

doi:10.1103/PhysRevAccelBeams.22.104601

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

Authors:: Qiang, Ji

Publication Date:: 2019-10-23

Sponsoring Org.:: USDOE

OSTI Identifier:: 1571533

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

Country of Publication:: United States

Language:: English

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.

Copy to clipboard


                    Qiang, Ji. Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation.  United States.  doi:10.1103/PhysRevAccelBeams.22.104601.

Copy to clipboard


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

Copy to clipboard


                    
@article{osti_1571533,

  title        = {Fast 3D Poisson solvers in elliptical conducting pipe for space-charge simulation},

  author       = {Qiang, Ji},

  abstractNote = {},

  doi          = {10.1103/PhysRevAccelBeams.22.104601},

  journal      = {Physical Review Accelerators and Beams},

  number       = 10,

  volume       = 22,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.22.104601

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Zheng, Dawei; Pöplau, Gisela; van Rienen, Ursula
Computer Physics Communications, Vol. 198
DOI: 10.1016/j.cpc.2015.09.005

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

Xu, J.; Ostroumov, P. N.; Nolen, J.
Computer Physics Communications, Vol. 178, Issue 4
DOI: 10.1016/j.cpc.2007.09.008

Periodic Poisson model for beam dynamics simulation
journal, March 2016

Dohlus, M.; Henning, Ch.
Physical Review Accelerators and Beams, Vol. 19, Issue 3
DOI: 10.1103/PhysRevAccelBeams.19.034401

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

Adelmann, A.; Arbenz, P.; Ineichen, Y.
Journal of Computational Physics, Vol. 229, Issue 12
DOI: 10.1016/j.jcp.2010.02.022

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

Qiang, J.; Todd, D.; Leitner, D.
Computer Physics Communications, Vol. 175, Issue 6
DOI: 10.1016/j.cpc.2006.05.007

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

Qiang, Ji; Ryne, Robert D.
Computer Physics Communications, Vol. 138, Issue 1
DOI: 10.1016/S0010-4655(01)00185-0

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

Ohring, Samuel
Journal of Computational Physics, Vol. 50, Issue 2
DOI: 10.1016/0021-9991(83)90068-2

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

Qiang, Ji
Physical Review Accelerators and Beams, Vol. 20, Issue 1
DOI: 10.1103/PhysRevAccelBeams.20.014203

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

Qiang, Ji
Computer Physics Communications, Vol. 203
DOI: 10.1016/j.cpc.2016.02.012

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

Qiang, Ji
Physical Review Accelerators and Beams, Vol. 21, Issue 5
DOI: 10.1103/PhysRevAccelBeams.21.054201

TOUTATIS: A radio frequency quadrupole code
journal, December 2000

Duperrier, Romuald
Physical Review Special Topics - Accelerators and Beams, Vol. 3, Issue 12
DOI: 10.1103/PhysRevSTAB.3.124201

A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations
journal, October 2017

Qiang, Ji
Computer Physics Communications, Vol. 219
DOI: 10.1016/j.cpc.2017.06.002

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

Dang-Vu, H.; Delcarte, C.
Journal of Computational Physics, Vol. 104, Issue 1
DOI: 10.1006/jcph.1993.1021

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

Haidvogel, Dale B.; Zang, Thomas
Journal of Computational Physics, Vol. 30, Issue 2
DOI: 10.1016/0021-9991(79)90097-4

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

Anderson, Christopher R.
Journal of Computational Physics, Vol. 314
DOI: 10.1016/j.jcp.2016.02.074

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

Qiang, Ji; Gluckstern, Robert L.
Computer Physics Communications, Vol. 160, Issue 2
DOI: 10.1016/j.cpc.2004.03.002

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

Similar records in OSTI.GOV collections:

Efficient three-dimensional Poisson solvers in open rectangular conducting pipe

Journal Article Qiang, Ji - Computer Physics Communications

Three-dimensional (3D) Poisson solver plays an important role in the study of space-charge effects on charged particle beam dynamics in particle accelerators. In this paper, we propose three new 3D Poisson solvers for a charged particle beam in an open rectangular conducting pipe. These three solvers include a spectral integrated Green function (IGF) solver, a 3D spectral solver, and a 3D integrated Green function solver. These solvers effectively handle the longitudinal open boundary condition using a finite computational domain that contains the beam itself. This saves the computational cost of using an extra larger longitudinal domain in order to setmore »« less
DOI: 10.1016/j.cpc.2016.02.012
Fast Poisson, Fast Helmholtz and fast linear elastostatic solvers on rectangular parallelepipeds

Technical Report Wiegmann, A.

FFT-based fast Poisson and fast Helmholtz solvers on rectangular parallelepipeds for periodic boundary conditions in one-, two and three space dimensions can also be used to solve Dirichlet and Neumann boundary value problems. For non-zero boundary conditions, this is the special, grid-aligned case of jump corrections used in the Explicit Jump Immersed Interface method. Fast elastostatic solvers for periodic boundary conditions in two and three dimensions can also be based on the FFT. From the periodic solvers we derive fast solvers for the new 'normal' boundary conditions and essential boundary conditions on rectangular parallelepipeds. The periodic case allows a simplemore »« less
DOI: 10.2172/982430

Full Text Available
QCAD simulation and optimization of semiconductor double quantum dots

Technical Report Nielsen, Erik ; Gao, Xujiao ; Kalashnikova, Irina ; ...

We present the Quantum Computer Aided Design (QCAD) simulator that targets modeling quantum devices, particularly silicon double quantum dots (DQDs) developed for quantum qubits. The simulator has three di erentiating features: (i) its core contains nonlinear Poisson, e ective mass Schrodinger, and Con guration Interaction solvers that have massively parallel capability for high simulation throughput, and can be run individually or combined self-consistently for 1D/2D/3D quantum devices; (ii) the core solvers show superior convergence even at near-zero-Kelvin temperatures, which is critical for modeling quantum computing devices; (iii) it couples with an optimization engine Dakota that enables optimization of gate voltagesmore »« less
DOI: 10.2172/1204068

Full Text Available
Electromagnetic fields and Green’s functions in elliptical vacuum chambers

Journal Article Persichelli, S. ; Biancacci, N. ; Migliorati, M. ; ... - Physical Review Accelerators and Beams

In this paper, we discuss the electromagnetic interaction between a point charge travelling inside a waveguide of elliptical cross section, and the waveguide itself. By using a convenient expansion of the Mathieu functions, useful in particular for treating a variety of problems in applied mathematics and physics with elliptic geometry, we first obtain the longitudinal electromagnetic field of a point charge (Green's function) in free space in terms of elliptical coordinates. This expression allows, then, to calculate the scattered field due to the boundary conditions in our geometry. By summing the contribution of the direct or primary field and themore »« less
Cited by 1
DOI: 10.1103/PhysRevAccelBeams.20.101004
Electromagnetic fields and Green’s functions in elliptical vacuum chambers

Journal Article Persichelli, S. ; Biancacci, N. ; Migliorati, M. ; ... - Physical Review Accelerators and Beams

In this paper, we discuss the electromagnetic interaction between a point charge travelling inside a waveguide of elliptical cross section, and the waveguide itself. By using a convenient expansion of the Mathieu functions, useful in particular for treating a variety of problems in applied mathematics and physics with elliptic geometry, we first obtain the longitudinal electromagnetic field of a point charge (Green's function) in free space in terms of elliptical coordinates. This expression allows, then, to calculate the scattered field due to the boundary conditions in our geometry. By summing the contribution of the direct or primary field and themore »« less
Cited by 1
DOI: 10.1103/PhysRevAccelBeams.20.101004

Full Text Available

Similar Records

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

Citation Formats

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

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

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

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

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

A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations journal, October 2017

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations
journal, October 2017

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

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

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

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

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

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

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

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

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

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

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

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