Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Advances in Incremental PCA Algorithms Read chapter Read first chapter

2018 | OriginalPaper | Chapter

A Space and Bandwidth Efficient Multicore Algorithm for the Particle-in-Cell Method

Authors : Yann Barsamian, Arthur Charguéraud, Alain Ketterlin

Published in: Parallel Processing and Applied Mathematics

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The Particle-in-Cell (PIC) method allows solving partial differential equation through simulations, with important applications in plasma physics. To simulate thousands of billions of particles on clusters of multicore machines, prior work has proposed hybrid algorithms that combine domain decomposition and particle decomposition with carefully optimized algorithms for handling particles processed on each multicore socket. Regarding the multicore processing, existing algorithms either suffer from suboptimal execution time, due to sorting operations or use of atomic instructions, or suffer from suboptimal space usage. In this paper, we propose a novel parallel algorithm for two-dimensional PIC simulations on multicore hardware that features asymptotically-optimal memory consumption, and does not perform unnecessary accesses to the main memory. In practice, our algorithm reaches 65% of the maximum bandwidth, and shows excellent scalability on the classical Landau damping and two-stream instability test cases.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Fast DEM Collision Checks on Multicore Nodes
next chapter Load Balancing for Particle-in-Cell Plasma Simulation on Multicore Systems
Literature
1.
2.
Barnes, J., Hut, P.: A hierarchical \(O(N \log N)\) force-calculation algorithm. Nature 324(3), 446–449 (1986)CrossRef
3.
Barsamian, Y., Hirstoaga, S.A., Violard, É.: Efficient data structures for a hybrid parallel and vectorized particle-in-cell code. In: 2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), pp. 1168–1177 (2017)
4.
Bender, M.A., Demaine, E.D., Farach-Colton, M.: Cache-oblivious b-trees. In: Proceedings of the 41st Annual Symposium on Foundations of Computer Science (FOCS), pp. 399–409 (2000)
5.
Birdsall, C.K., Fuss, D.: Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation. J. Comput. Phys. 3, 494–511 (1969)CrossRefMATH
6.
Birdsall, C.K., Langdon, A.B.: Plasma Physics via Computer Simulation. McGraw-Hill, New York (1985)
7.
Bowers, K.J.: Accelerating a particle-in-cell simulation using a hybrid counting sort. J. Comput. Phys. 173(2), 393–411 (2001)CrossRefMATH
8.
Bowers, K.J., Albright, B.J., Yin, L., Bergen, B., Kwan, T.J.T.: Ultrahigh performance three-dimensional electromagnetic relativistic kinetic plasma simulation. Phys. Plasmas 15(5), 055703 (2008)CrossRef
9.
Bussmann, M., Burau, H., Cowan, T.E., Debus, A., Huebl, A., Juckeland, G., Kluge, T., Nagel, W.E., Pausch, R., Schmitt, F., Schramm, U., Schuchart, J., Widera, R.: Radiative signatures of the relativistic Kelvin-Helmholtz instability. In: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis (SC), pp. 5:1–5:12 (2013)
10.
Decyk, V.K., Singh, T.V.: Particle-in-cell algorithms for emerging computer architectures. Comput. Phys. Commun. 185(3), 708–719 (2014)MathSciNetCrossRef
11.
Durand, M.: PaVo. An adaptative parallel sorting algorithm. Ph.D. thesis, Université de Grenoble (2013)
12.
Durand, M., Raffin, B., Faure, F.: A packed memory array to keep moving particles sorted. In: Workshop on Virtual Reality Interaction and Physical Simulation (VRIPHYS) (2012)
13.
14.
Germaschewski, K., Fox, W., Abbott, S., Ahmadi, N., Maynard, K., Wang, L., Ruhl, H., Bhattacharjee, A.: The plasma simulation code: a modern particle-in-cell code with patch-based load-balancing. J. Comput. Phys. 318, 305–326 (2016)MathSciNetCrossRefMATH
15.
Hanson, D.R.: Fast allocation and deallocation of memory based on object lifetimes. Softw. Pract. Exper. 20(1), 5–12 (1990)CrossRef
16.
Hockney, R.W., Eastwood, J.W.: Computer Simulation Using Particles. Institute of Physics, Philadelphia (1988)CrossRefMATH
17.
Jocksch, A., Hariri, F., Tran, T.-M., Brunner, S., Gheller, C., Villard, L.: A bucket sort algorithm for the particle-in-cell method on manycore architectures. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds.) PPAM 2015. LNCS, vol. 9573, pp. 43–52. Springer, Cham (2016)CrossRef
18.
Kim, C.C., Parker, S.E.: Massively parallel three-dimensional toroidal gyrokinetic flux-tube turbulence simulation. J. Comput. Phys. 161(2), 589–604 (2000)CrossRefMATH
19.
McCalpin, J.D.: Memory bandwidth and machine balance in current high performance computers. In: IEEE Computer Society Technical Committee on Computer Architecture Newsletter (TCCA), pp. 19–25 (1995)
20.
Nakashima, H., Summura, Y., Kikura, K., Miyake, Y.: Large scale manycore-aware PIC simulation with efficient particle binning. In: 2017 IEEE International Parallel and Distributed Processing Symposium (IPDPS), pp. 202–212 (2017)
21.
Nicol, D.M.: Rectilinear partitioning of irregular data parallel computations. J. Parallel Distr. Com. 23(2), 119–134 (1994)CrossRef
22.
Surmin, I., Bashinov, A., Bastrakov, S., Efimenko, E., Gonoskov, A., Meyerov, I.: Dynamic load balancing based on rectilinear partitioning in particle-in-cell plasma simulation. In: Parallel Computing Technologies: 13th International Conference (PaCT), pp. 107–119 (2015)
23.
Sáez, X., Soba, A., Sánchez, E., Kleiber, R., Castejón, F., Cela, J.M.: Improvements of the particle-in-cell code EUTERPE for petascaling machines. Comput. Phys. Commun. 182(9), 2047–2051 (2011)CrossRef
24.
Tskhakaya, D., Schneider, R.: Optimization of PIC codes by improved memory management. J. Comput. Phys. 225(1), 829–839 (2007)CrossRefMATH
25.
Vincenti, H., Lobet, M., Lehe, R., Sasanka, R., Vay, J.L.: An efficient and portable SIMD algorithm for charge/current deposition in particle-in-cell codes. Comput. Phys. Commun. 210, 145–154 (2016)CrossRefMATH
26.
Winkel, M., Speck, R., Hübner, H., Arnold, L., Krause, R., Gibbon, P.: A massively parallel, multi-disciplinary Barnes-Hut tree code for extreme-scale N-body simulations. Comput. Phys. Commun. 183(4), 880–889 (2012)MathSciNetCrossRef
Metadata
Title
A Space and Bandwidth Efficient Multicore Algorithm for the Particle-in-Cell Method
Authors
Yann Barsamian
Arthur Charguéraud
Alain Ketterlin
Copyright Year
2018
Book
Parallel Processing and Applied Mathematics

Print ISBN: 978-3-319-78023-8

Electronic ISBN: 978-3-319-78024-5

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-78024-5_13

Premium Partner

    Image Credits