Author: Kulabukhova, N.V.
Paper Title Page
MOPWO018 Cellular Automaton Simulating the Motion of the Charged Particles Beam 918
 
  • S.N. Andrianov, N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  • V. Ryabusha
    Saint Petersburg State University, Saint Petersburg, Russia
  
  In this re­search we for­mu­late and for­mal­ize the rules for the cel­lu­lar au­toma­ton that em­u­lates the mo­tion of the charged par­ti­cles beam under the ef­fect of Coulomb force for one-, two- and three-di­men­sional cases. In this re­search we also de­scribe the main prin­ci­ples of the re­al­iza­tion of this ap­proach in a par­al­leled clus­ter en­vi­ron­ment.  
 
MOPWO019 An IDE for Spin-orbit Dynamics Simulation 921
 
  • A.N. Ivanov, N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  
  In this paper a pro­to­type of an IDE for sim­u­la­tion of spin-or­bit mo­tion is de­scribed. It is based on the com­po­nent soft­ware de­vel­op­ment and pro­vides a flex­i­ble graphic user in­ter­face. One of the main parts of it is nu­mer­i­cal meth­ods for or­di­nary dif­fer­en­tial equa­tions in­te­gra­tion. For nu­mer­i­cal sim­u­la­tion it is pos­si­ble use ei­ther the ma­trix map al­go­rithm or tra­di­tional step-by-step meth­ods. This work­flow al­lows choos­ing one of nu­mer­i­cal al­go­rithms and to pro­vide nec­es­sary com­pu­ta­tional ex­per­i­ments. It is also con­tains both a vi­sual de­signer of an ac­cel­er­a­tor lat­tice and ad­di­tional tools for con­trol pa­ra­me­ters of the model. There is also ex­ists pos­si­bil­ity for code gen­er­a­tion in dif­fer­ent pro­gram­ming lan­guages and com­pu­ta­tion on high-per­for­mance sys­tems.  
 
MOPWO020 Space Charge Dominated Envelope Dynamics using GPUs 924
 
  • N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  
  High power ac­cel­er­a­tor fa­cil­i­ties lead to ne­ces­sity to con­sider space charge forces. It is there­fore im­por­tant to study the space charge dy­nam­ics in the cor­re­spond­ing chan­nels. To rep­re­sent the space charge forces of the beam we have de­vel­oped spe­cial soft­ware based on some an­a­lyt­i­cal mod­els for space charge dis­tri­b­u­tions. Be­cause cal­cu­la­tions for space charge dy­nam­ics be­come ex­tremely time con­sum­ing, we use a spe­cial al­go­rithm for pre­dic­tor-cor­rec­tor method for eval­u­a­tion scheme for beam map eval­u­a­tion in­clud­ing the space charge forces. This method al­lows us to eval­u­ate the map along the ref­er­ences tra­jec­tory and to cre­ate the beam en­ve­lope dy­nam­ics. The cor­re­spond­ing com­puter codes are re­al­ized using CUDA im­ple­men­ta­tion of maps for par­ti­cle dy­nam­ics. Some nu­mer­i­cal re­sults for dif­fer­ent types of the beam chan­nels are dis­cussed. The sur­vey of ad­van­tages and dis­ad­van­tages of using dif­fer­ent meth­ods of par­al­leliza­tion and some par­al­lel ap­proaches will be done.  
 
MOPWO021 Data Management and Analysis for Beam Dynamics Simulation 927
 
  • D. Zyuzin
    FZJ, Jülich, Germany
  • S.N. Andrianov, N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  
  Com­puter sim­u­la­tion of mod­ern ac­cel­er­a­tor sys­tem is based on a num­ber of spe­cial­ized com­puter codes. Com­plex­ity of con­cerned processes and in­ter­pre­ta­tion of sim­u­la­tion re­sults re­quires com­fort­able and ef­fec­tive tools to de­sign ac­cel­er­a­tor struc­ture and beam char­ac­ter­is­tics, carry out com­puter ex­per­i­ments, process and vi­su­al­ize data. This paper pro­poses a pro­to­type sys­tem with web-in­ter­face which al­lows the full re­search cycle: from lat­tice gen­er­a­tion to data vi­su­al­iza­tion. This ap­proach rep­re­sents a valu­able tool for beam physi­cist pro­vid­ing meth­ods to bench­mark sim­u­la­tion en­gines as well as pro­vid­ing ad­di­tional in­stru­ments for un­der­stand­ing phys­i­cal processes in ac­cel­er­a­tor. The cor­re­spond­ing tools were used in ap­pli­ca­tion to the spin-or­bit mo­tion prob­lems in elec­tro­sta­tic ac­cel­er­a­tors.  
 
WEPEA036 Spin Tune Decoherence Effects in Electro- and Magnetostatic Structures 2579
 
  • Y. Senichev, R. Maier, D. Zyuzin
    FZJ, Jülich, Germany
  • N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  
  In Elec­tric Di­pole Mo­ment search ex­per­i­ments with po­lar­ized beams the co­her­ence of spin os­cil­la­tions of par­ti­cles has a cru­cial role. The de­co­her­ent ef­fects arise due to spin tune de­pen­dence on par­ti­cle en­ergy and par­ti­cle tra­jec­tory in fo­cus­ing-de­flect­ing fields. They are de­scribed through the n-th order spin tune aber­ra­tions. Since the first order is sup­pressed by RF field, the sec­ond order plays cru­cial role. It de­pends on the orbit length­en­ing and on the odd order field com­po­nents. We con­sider the spin de­co­her­ence ef­fects and meth­ods of their com­pen­sa­tion in dif­fer­ent chan­nels, elec­tro­sta­tic, mag­ne­to­sta­tic link­ing the de­co­her­ence ef­fects with com­mon char­ac­ter­is­tics such as the mo­men­tum com­paction fac­tor, the chro­matic­ity and oth­ers.  
 
WEPEA037 Testing of Symplectic Integrator of Spin-orbit Motion Based on Matrix Formalism 2582
 
  • A.N. Ivanov, S.N. Andrianov, N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  • R. Maier, Y. Senichev, D. Zyuzin
    FZJ, Jülich, Germany
  
  In­ves­ti­ga­tion of spin-or­bital mo­tion in elec­tro­mag­netic fields re­quires dif­fer­ent nu­mer­i­cal meth­ods. Ap­proaches for long-term evo­lu­tion mod­el­ling need both per­for­mance and sym­plec­tic­ity. In this paper we dis­cuss ma­trix maps method for nu­mer­i­cal sim­u­la­tion. We ex­am­ine sym­plec­ti­fi­ca­tion and ac­cu­racy in terms of elec­to­sta­tic stor­age ring. The re­sults are com­pared with tra­di­tional sym­plec­tic step-by-step meth­ods.  
 
WEPEA038 Two and three Dimensional Models for Analytical and Numerical Space Charge Simulation 2585
 
  • S.N. Andrianov, N.V. Kulabukhova
    St. Petersburg State University, St. Petersburg, Russia
  
  In this ar­ti­cle there is de­scribed an an­a­lyt­i­cal ap­proach to de­scribe the self-field of two- and three di­men­sional el­lip­soidal pre­sen­ta­tion of space charge dis­tri­b­u­tion. The cor­re­spond­ing re­sults can be eval­u­ated in both nu­mer­i­cal and the an­a­lytic pre­sen­ta­tion for some model dis­tri­b­u­tions of charge. The cor­re­spond­ing re­sults can be em­bed­ded in the Lie for­mal­ism used to de­scribe the map for the beam dy­nam­ics. The cor­re­spond­ing lin­ear and non­lin­ear maps are eval­u­ated in terms of the ma­trix rep­re­sen­ta­tion of the evo­lu­tion op­er­a­tor of the beam. Ap­pro­pri­ate so­lu­tions for non­lin­ear dif­fer­en­tial equa­tions are based on a pre­dic­tion-cor­rec­tion method (the con­verg­ing re­cur­sive pro­ce­dure). These so­lu­tions are com­pared with the Vlasov equa­tion so­lu­tions. A spe­cial soft­ware pack­age for the de­scribed ap­proach is pre­sented.