Poisson solvers for self-consistent multi-particle simulations

Self-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density distribution in the multi-particle simulation. In this paper, we rev...

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Detalles Bibliográficos
Autores principales: Qiang, J., Paret, S.
Lenguaje:eng
Publicado: 2014
Materias:
Accelerators and Storage Rings
Acceso en línea:https://dx.doi.org/10.5170/CERN-2014-004.51
http://cds.cern.ch/record/1955349
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author Qiang, J.
Paret, S.
author_facet Qiang, J.
Paret, S.
author_sort Qiang, J.
collection CERN
description Self-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density distribution in the multi-particle simulation. In this paper, we review a number of numerical methods that can be used to solve the Poisson equation efficiently. The computational complexity of those numerical methods will be O(N log(N)) or O(N) instead of O(N2), where N is the total number of grid points used to solve the Poisson equation.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
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spelling cern-19553492023-03-12T04:17:23Zdoi:10.5170/CERN-2014-004.51http://cds.cern.ch/record/1955349engQiang, J.Paret, S.Poisson solvers for self-consistent multi-particle simulationsAccelerators and Storage RingsSelf-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density distribution in the multi-particle simulation. In this paper, we review a number of numerical methods that can be used to solve the Poisson equation efficiently. The computational complexity of those numerical methods will be O(N log(N)) or O(N) instead of O(N2), where N is the total number of grid points used to solve the Poisson equation.Self-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density distribution in the multi-particle simulation. In this paper, we review a number of numerical methods that can be used to solve the Poisson equation efficiently. The computational complexity of those numerical methods will be O(N log(N)) or O(N) instead of O(N2), where N is the total number of grid points used to solve the Poisson equation.arXiv:1410.3633oai:cds.cern.ch:19553492014-10-14
spellingShingle Accelerators and Storage Rings
Qiang, J.
Paret, S.
Poisson solvers for self-consistent multi-particle simulations
title Poisson solvers for self-consistent multi-particle simulations
title_full Poisson solvers for self-consistent multi-particle simulations
title_fullStr Poisson solvers for self-consistent multi-particle simulations
title_full_unstemmed Poisson solvers for self-consistent multi-particle simulations
title_short Poisson solvers for self-consistent multi-particle simulations
title_sort poisson solvers for self-consistent multi-particle simulations
topic Accelerators and Storage Rings
url https://dx.doi.org/10.5170/CERN-2014-004.51
http://cds.cern.ch/record/1955349
work_keys_str_mv AT qiangj poissonsolversforselfconsistentmultiparticlesimulations
AT parets poissonsolversforselfconsistentmultiparticlesimulations

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