Name
Title | ||
|---|---|---|
A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations. |
Abstract | ||
|---|---|---|
Abstract A three-dimensional (3D) Poisson solver with longitudinal periodic and transverse open boundary conditions can have important applications in beam physics of particle accelerators. In this paper, 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 ( l o g N m o d e ) ) , where N u is the total number of unknowns and N m o d e 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. |
Year | Venue | Field |
|---|---|---|
2017 | Computer Physics Communications | Boundary value problem,Mathematical optimization,Space charge,Poisson's equation,Mathematical analysis,Charged particle beam,Message Passing Interface,Beam (structure),Periodic graph (geometry),Mathematics,Computational complexity theory |
DocType | Volume | Citations |
Journal | 219 | 0 |
PageRank | References | Authors |
0.34 | 6 | 1 |