|MOPV048||Fast Multipole Method (FMM)-Based Particle Accelerator Simulations in the Context of Tune Depression Studies||271|
Funding: U.S. Department of Energy DOE SBIR Phase I Project DE-SC0020934
As part of the MACH-B (Multipole Accelerator Codes for Hadron Beams) project, we have developed a Fast Multipole Method (FMM**)-based tool for higher fidelity modeling of particle accelerators for high-energy physics within Fermilab’s Synergia* simulation package. We present results from our implementations with a focus on studying the difference between tune depression estimates obtained using PIC codes for computing the particle interactions and those obtained using FMM-based algorithms integrated within Synergia. In simulating the self-interactions and macroparticle actions necessary for accurate simulations, we present a newly-developed kernel inside of a kernel-independent FMM in which near-field kernels are modified to incorporate smoothing while still maintaining consistency at the boundary of the far-field regime. Each simulation relies on Synergia with one major difference: the way in which particles interactions were computed. Specifically, following our integration of the FMM into Synergia, changes between PIC-based computations and FMM-based computations are made by changing only the method for near-field (and self) particle interactions.
* J. Amundson et al. "Synergia: An accelerator modeling tool with 3-D space charge". J.C.P. 211.1 (2006) 229-248.
** L. Greengard. "Fast algorithms for classical physics". Science (Aug 1994) 909-914.
|DOI •||reference for this paper ※ https://doi.org/10.18429/JACoW-ICALEPCS2021-MOPV048|
|About •||Received ※ 09 October 2021 Revised ※ 20 October 2021 Accepted ※ 20 November 2021 Issue date ※ 29 December 2021|
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