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PARALLEL ALGORITHM FOR NUMERICAL SUMULATIONS OF ULTRARELATIVISTIC PARTICLE BEAMS COLLIDING WITH CROSSING ANGLE

https://doi.org/10.25205/1818-7900-2018-16-4-31-40

Abstract

We present an algorithm for numerical modelling of beam dynamics in supercolliders. When the high-energy beams interact their deformation and disruption are possible and the study of the beam stability is an important problem. We consider the beams motion in self-consistent electromagnetic fields and we take into account the crossing angle of the beams in the fully three-dimensional case. We use particle-in-cell method to solve the problem. The domain and particle parallelization allows performing of the numerical experiments with 10^9 model particles. The results of the simulations and the comparison with the existing analytical solution are presented.

About the Authors

M. A. Boronina
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Russian Federation


V. A. Vshivkov
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Russian Federation


References

1. Adolphsen C. et al. The International Linear Collider Technical Design Report - Volume 3.II: Accelerator Baseline Design (2013) arXiv:1306.6328 [physics.acc-ph].

2. Appleby R., Angal-Kalinin D., Bambade P., Cavalier S., Meur G. Le, Touze F., Iwashita Y. The 2 mrad Crossing Angle Scheme for the International Linear Collider // Proc. of EPAC08 (Genoa, Italy, 2008), p. MOPP005.

3. Nosochkov Y., Mo_eit K., Seryi A., Woods M., Arnold R., Oliver W., Parker B., Torrence E. Design of ILC Extraction Line for 20 mrad Crossing Angle // Proc. of the 2005 Particle Accelerator Conference (Knoxville, USA, 2005), p. RPPP030.

4. Telnov V. I. Journal of Instrumentation 13, p. P03020 (2018).

5. Hirata K. Phys. Rev. Lett. 74, 2228-2231 (1994).

6. Buffat X., Barraud L., Barranco J., Florio A. and Pieloni T. Numerical and experimental studies of coherent beam-beam modes: stability and decoherence // Workshop on Beam-Beam Effects in Circular Colliders (Berkley, USA, 2018), p. RPPP030.

7. Schulte D. Study of Electromagnetic and Hadronic Background in the Interaction Region of the TESLA Collider. PhD thesis, DESY 1997.

8. Terzic B. et al. Long-Term Simulations of Beam-Beam Dynamics on GPUs // Proc. of IPAC2017 (Copenhagen, Denmark, 2017), p. THPAB086.

9. Qiang J., Furman M., Ryne R. Phys. Rev. ST Accel. Beams 5, p. 104402 (2002).

10. Hockney R. W., Eastwood J. W. Computer Simulation Using Particles (CRC Press, Boca Raton, Florida, USA, 1988).

11. Boris J. P. Relativistic plasma simulation - optimization of a hybrid code (Fourth Conference on numerical Simulation of Plasmas. Washington, 1970), p. 3-67.

12. Langdon A. B., Lasinski B. F. Controlled Fusion, Methods in Computational Physics: Advances in Research and Applications, vol. 16 (Elsevier, 1976), p. 327-366.

13. Yee K. S. IEEE Trans. Antenn. Propagat. AP-14, 302-307 (1966). Villasenor J., Buneman O. Comput. Phys. 69, 306-316 (1992).

14. Landau L. D., Lifshitz E. M. The Classical Theory of Fields. A Course of Theoretical Physics. Pergamon Press, 1971, vol. 2.

15. Вшивков В. А., Боронина М. А. Трехмерное моделирование динамики ультрарелятивистских пучков заряженных частиц: особенности вычисления начальных и граничных условий // Матем. моделирование. 2012. Т. 24 (2). С. 67-83.

16. Sands M. The physics of electron storage rings: an introduction, SLAC-121 (1971).

17. Herr W. Particle Colliders and Concept of Luminosity // CERN Accelerator School. Granada, Spain, 2012.

18. Peng Y., Zhang Y. Luminosity Reduction with Hourglass Effect and Crossing Angle in an e-p Collider // Proc. of IPAC2015 (Richmond, USA, 2015), p. TUPTY010.

19. Lotov K. V., Timofeev I. V., Mesyats E. A., Snytnikov A. V., Vshivkov V. A. Physics of Plasmas 22, p. 024502 (2015).

20. Boronina M., Vshivkov V., Levichev E., Nikitin S., Snytnikov V. 3D PIC Method Development for Simulation of Beam-Beam Effcts in Supercolliders // Proceedings of PAC07 (Albuquerque, USA, 2007), p. THPAN060.

21. Boronina M. A., Korneev V. D. Bull. Nov. Comp. Center 16, 15-22 (2013).

22. Kireev S. Parallel Computing Technologies, 5698, 406-413 (2009).

23. Berendeev E., Dudnikova G., Efimova A., Vshivkov V. Numerical Analysis and Its Applications, 10187, 227-234 (2017).

24. Vshivkov V. A., Boronina M. A. Journal of Plasma Physics 81, p. 495810605 (2015).

25. Chen P., Yokoya K. Phys. Rev. D38, p. 987 (1988).

26. Birdsall C. K., Langdon A. B. Plasma Physics via Computer Simulation (Institute of Physics Publishing, Bristol, UK, 1991).

27. Березин Ю. А., Вшивков В. А. Метод частиц в динамике разреженной плазмы. Новосибирск: Наука, 1980.


Review

For citations:


Boronina M.A., Vshivkov V.A. PARALLEL ALGORITHM FOR NUMERICAL SUMULATIONS OF ULTRARELATIVISTIC PARTICLE BEAMS COLLIDING WITH CROSSING ANGLE. Vestnik NSU. Series: Information Technologies. 2018;16(4):31-40. (In Russ.) https://doi.org/10.25205/1818-7900-2018-16-4-31-40

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ISSN 1818-7900 (Print)
ISSN 2410-0420 (Online)