A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for spacecharge simulations
Abstract
A threedimensional (3D) Poisson solver with longitudinal periodic and transverse open boundary conditions can have important applications in beam physics of particle accelerators. Here, we present a fast efficient method to solve the Poisson equation using a spectral finitedifference method. This method uses a computational domain that contains the charged particle beam only and has a computational complexity of $$O(N_u (logN_{mode}))$$, where $$N_u$$ is the total number of unknowns and $$N_{mode}$$ is the maximum number of longitudinal or azimuthal modes. This saves both the computational time and the memory usage of using an artificial boundary condition in a large extended computational domain. The new 3D Poisson solver is parallelized using a message passing interface (MPI) on multiprocessor computers and shows a reasonable parallel performance up to hundreds of processor cores.
 Authors:

 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1571086
 Alternate Identifier(s):
 OSTI ID: 1550326
 Grant/Contract Number:
 AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Computer Physics Communications
 Additional Journal Information:
 Journal Volume: 219; Journal Issue: C; Journal ID: ISSN 00104655
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Poisson solver; spectral finitedifference method; periodic and open boundary conditions
Citation Formats
Qiang, Ji. A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for spacecharge simulations. United States: N. p., 2017.
Web. doi:10.1016/j.cpc.2017.06.002.
Qiang, Ji. A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for spacecharge simulations. United States. doi:https://doi.org/10.1016/j.cpc.2017.06.002
Qiang, Ji. Tue .
"A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for spacecharge simulations". United States. doi:https://doi.org/10.1016/j.cpc.2017.06.002. https://www.osti.gov/servlets/purl/1571086.
@article{osti_1571086,
title = {A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for spacecharge simulations},
author = {Qiang, Ji},
abstractNote = {A threedimensional (3D) Poisson solver with longitudinal periodic and transverse open boundary conditions can have important applications in beam physics of particle accelerators. Here, we present a fast efficient method to solve the Poisson equation using a spectral finitedifference method. This method uses a computational domain that contains the charged particle beam only and has a computational complexity of $O(N_u (logN_{mode}))$, where $N_u$ is the total number of unknowns and $N_{mode}$ is the maximum number of longitudinal or azimuthal modes. This saves both the computational time and the memory usage of using an artificial boundary condition in a large extended computational domain. The new 3D Poisson solver is parallelized using a message passing interface (MPI) on multiprocessor computers and shows a reasonable parallel performance up to hundreds of processor cores.},
doi = {10.1016/j.cpc.2017.06.002},
journal = {Computer Physics Communications},
number = C,
volume = 219,
place = {United States},
year = {2017},
month = {6}
}
Web of Science