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Numerical Algorithms for Vlasov-Pois...

Ma, Jun.

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Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling./
Author:	Ma, Jun.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	219 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10283996
ISBN:	9780355151015

Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling.
Ma, Jun.

Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 219 p.

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)--State University of New York at Stony Brook, 2017.

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.

ISBN: 9780355151015Subjects--Topical Terms:

2122814
Applied mathematics.

Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling.
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100 1 $a Ma, Jun. $3 1265143
245 1 0 $a Numerical Algorithms for Vlasov-Poisson Equation and Applications to Coherent Electron Cooling.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 219 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
500 $a Advisers: Roman V. Samulyak; James Glimm.
502 $a Thesis (Ph.D.)--State University of New York at Stony Brook, 2017.
520 $a 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.
520 $a 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.
520 $a 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.
520 $a 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.
520 $a 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.
520 $a 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.
590 $a School code: 0771.
650 4 $a Applied mathematics. $3 2122814
690 $a 0364
710 2 $a State University of New York at Stony Brook. $b Applied Mathematics and Statistics. $3 1684041
773 0 $t Dissertation Abstracts International $g 79-01B(E).
790 $a 0771
791 $a Ph.D.
792 $a 2017
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10283996