A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
A three-dimensional (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 finite-difference 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 multi-processor computers and shows a reasonable parallel performance up to hundreds of processor cores.
- Research Organization:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
- Grant/Contract Number:
- AC02-05CH11231
- OSTI ID:
- 1571086
- Alternate ID(s):
- OSTI ID: 1550326
- Journal Information:
- Computer Physics Communications, Journal Name: Computer Physics Communications Journal Issue: C Vol. 219; ISSN 0010-4655
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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