Type
Text
Type
Dissertation
Advisor
Litvinenko, Vladimir N. | Samulyak, Roman V. | Glimm, James | Reuter, Matthew G. | Wang, Gang | .
Date
2017-05-01
Keywords
Applied mathematics
Department
Department of Applied Mathematics and Statistics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/77244
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
New algorithms for the particle-based numerical method, called AP-Cloud, for optimal solutions of Poisson-Vlasov equation have been developed and implemented in code SPACE, as well as a traditional particle-in-cell (PIC) electrostatic solver. While the traditional PIC method is based on a uniform Cartesian mesh, a linear charge deposition scheme, and Fast Fourier Transform solvers, the AP-Cloud method replaces the traditional PIC mesh with an adaptively chosen set of computational particles and is beneficial if the distribution of particles is non-uniform. The code SPACE is a parallel, relativistic, 3D electromagnetic PIC code developed for the simulations of relativistic particle beams, beam-plasma interactions, and plasma chemistry, and has been used in the simulation studies of coherent electron cooling experiments at the Brookhaven National Laboratory. Coherent electron cooling is a novel technique for rapidly cooling high-energy, high-intensity hadron beams, and consists of three major components: a modulator, where each ion imprints a modulation signal on the electron beam, an amplifier where the modulation signals are amplified by orders, and a kicker where the electrons carrying the amplified signals interact with ions resulting in cooling of ion beam. We have performed highly resolved numerical simulations to study the coherent electron cooling concept and support the relevant experiments. Modulator and kicker simulations are performed using code SPACE. Simulations of free electron laser, as the amplifier, are performed using the open source code GENESIS. Numerical convergence and verification test problems for modulator simulations have been studied using electron beam with uniform spatial distribution, where analytic solutions of density and velocity modulations exist. A good agreement of theory and simulations has been obtained for the case of stationary and moving ions in uniform electron clouds with realistic distributions of thermal velocities. Predictions of modulation process have been given for ions with reference and off-reference velocities and center and off-center locations in Gaussian electron beams with continuous focusing electric field and quadrupole magnetic field. Phase advance studies have been performed to explore the dynamics of electron beam in the transverse plane due to the quadrupole magnetic field, and to explain the behaviors of the transverse modulation signal in the modulator section. The dynamics of the electron beam and the evolutions of the modulation signal in the coherent electron cooling process have been simulated by the combination use of code SPACE and GENESIS, using electron beam with Gaussian distribution and realistic profiles relevant to the Relativistic Heavy Ion Collider at the Brookhaven National Laboratory. | 219 pages
Recommended Citation
Ma, Jun, "Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling" (2017). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 3070.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/3070