Author: Zheng, D.
Paper Title Page
TUPAG02 First Steps Towards a New Finite Element Solver for MOEVE PIC Tracking 260
 
  • U. van Rienen, C.R. Bahls, J. Heller, D. Zheng
    Rostock University, Faculty of Computer Science and Electrical Engineering, Rostock, Germany
  • U. van Rienen
    University of Rostock, Rostock, Germany
 
  Funding: This work has been supported by the German Federal Ministry for Research and Education BMBF under contract 015K16HRA.
A rel­e­vant task in de­sign­ing high-bril­liance light sources based on high-cur­rent lin­ear ac­cel­er­a­tors (e.g. En­ergy Re­cov­ery Linacs (ERLs)) con­sists in sys­tem­atic in­ves­ti­ga­tions of ion dy­nam­ics in the vac­uum cham­ber of such ma­chines. This is of high im­por­tance since the par­a­sitic ions gen­er­ated by the elec­tron beam turned out to be a cur­rent-lim­it­ing fac­tor for many syn­chro­tron ra­di­a­tion sources. In par­tic­u­lar, the planned high cur­rent op­er­a­tion at ERL fa­cil­i­ties re­quires a pre­cise analy­sis and an ac­cu­rate de­vel­op­ment of ap­pro­pri­ate mea­sures for the sup­pres­sion of ion-in­duced beam in­sta­bil­i­ties. The lon­gi­tu­di­nal trans­port of ions through the whole ac­cel­er­a­tor plays a key role for the es­tab­lish­ment of the ion con­cen­tra­tion in the ma­chine. Using the Par­ti­cle-in-Cell (PIC) method, we started re­design­ing our code MOEVE PIC Track­ing in order to allow for the fast es­ti­ma­tion of the ef­fects of ions on the beam dy­nam­ics. For that, we ex­changed the pre­vi­ously used Fi­nite Dif­fer­ence (FD) method for the so­lu­tion of Pois­son’s equa­tion within the PIC solver by a solver based on the Fi­nite El­e­ment Method (FEM). Em­ploy­ing higher order FEM, we ex­pect to gain im­proved con­ver­gence rates and thus lower com­pu­ta­tional times. We chose the Open Source Frame­work FEn­iCS for our new im­ple­men­ta­tion.
 
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DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-ICAP2018-TUPAG02  
About • paper received ※ 21 October 2018       paper accepted ※ 24 October 2018       issue date ※ 26 January 2019  
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