Skip to main content
SpringerLink
Log in

Toward Parallel Modeling of Solidification Based on the Generalized Finite Difference Method Using Intel Xeon Phi

  • Conference paper
  • First Online:
Parallel Processing and Applied Mathematics (PPAM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9573))

Abstract

Modern heterogeneous computing platforms have become powerful HPC solutions, which could be applied for a wide range of applications. In particular, the hybrid platforms equipped with Intel Xeon Phi coprocessors offers performance advantages over conventional homogeneous solutions based on CPUs, while supporting practically the same parallel programming model. However, there is still an open issue how scientific applications can utilize efficiently the hybrid platforms equipped with Intel coprocessors.

In this paper we propose a method for porting a real-life scientific application to computing platforms with Intel Xeon Phi. We focus on the parallel implementation of a numerical model of solidification, which is based on the generalized finite difference method. We develop a sequence of steps that are necessary for porting this application to platforms with accelerators, assuming no significant modifications of the code. The proposed method considers not only efficient data transfers that allow for overlapping computations with data movements, but also takes into account an adequate utilization of cores/threads and vector units. The developed approach allows us to execute the whole application 3.45 times faster than the original parallel version running on two CPUs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Adrian, H., Spiradek-Hahn, K.: The simulation of dendritic growth in Ni-Cu alloy using the phase field model. Arch. Mater. Sci. Eng. 40(2), 89–93 (2009)

    Google Scholar 

  2. Benito, J.J., Ureñ, F., Gavete, L.: The generalized finite difference method. In: Àlvarez, M.P. (ed.) Leading-Edge Applied Mathematical Modeling Research, pp. 251–293. Nova Science Publishers Inc. (2008)

    Google Scholar 

  3. Hager, G., Wellein, G.: Introduction to High Performance Computing for Scientists and Engineers. CRC Press, Boca Raton (2011)

    Google Scholar 

  4. Intel Xeon Phi Coprocessor System Software Developers Guide. Intel Corporation (2013)

    Google Scholar 

  5. Jeffers, J., Reinders, J.: Intel Xeon Phi Coprocessor High-Performance Programming. Elsevier Inc., Waltham (2013)

    Google Scholar 

  6. Kulawik, A.: The modeling of the phenomena of the heat treatment of the medium carbon steel. Wydawnictwo Politechnki Czestochowskiej, Monografia, no. 281 (2013) (in Polish)

    Google Scholar 

  7. Kurzak, J., Bader, D., Dongarra, J. (eds.): Scientific Computing with Multicore and Accelerators. CRC Press, Boca Raton (2011)

    Google Scholar 

  8. Longinova, T., Amberg, G., Ågren, J.: Phase-field simulations of non-isothermal binary alloy solidification. Acta Mater. 49(4), 573–581 (2001)

    Article  Google Scholar 

  9. Parallel Programming and Optimization with Intel Xeon Phi Coprocessors, Handbook on the Development and Optimization of Parallel Applications for Intel Xeon Processors and Intel Xeon Phi Coprocessors. Colfax International, Sunnyvale, CA (2013)

    Google Scholar 

  10. Pilot Laboratory of Massively Parallel Systems (MICLAB). http://miclab.pl

  11. Rahman, R.: Intel Xeon Phi Coprocessor Architecture and Tools: The Guide for Application Developers. APress, Berkeley (2013)

    Book  Google Scholar 

  12. Szustak, L., Rojek, K., Gepner, P.: Using Intel Xeon Phi coprocessor to accelerate computations in MPDATA algorithm. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds.) PPAM 2013, Part I. LNCS, vol. 8384, pp. 582–592. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  13. Szustak, L., Rojek, K., Olas, T., Kuczynski, L., Halbiniak, K., Gepner, P.: Adaptation of MPDATA heterogeneous stencil computation to Intel Xeon Phi coprocessor. Sci. Program. 2015, 14 (2015)

    Google Scholar 

  14. Warren, J.A., Boettinger, W.J.: Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43(2), 689–703 (1995)

    Article  Google Scholar 

  15. Wyrzykowski, R., Rojek, K., Szustak, L.: Model-driven adaptation of double-precision matrix multiplication to the Cell processor architecture. Parallel Comput. 38(4–5), 260–276 (2012)

    Article  Google Scholar 

  16. Wyrzykowski, R., Szustak, L., Rojek, K.: Parallelization of 2D MPDATA EULAG algorithm on hybrid architectures with GPU accelerators. Parallel Comput. 40(8), 425–447 (2014)

    Article  MathSciNet  Google Scholar 

  17. Xue, W., Yang, C., Fu, H., Wang, X., Xu, Y., Liao, J., Gan, L., Lu, Y., Ranjan, R., Wang, L.: Ultra-scalable CPU-MIC acceleration of mesoscale atmospheric modeling on Tianhe-2. IEEE Trans. Comput. 64(8), 2382–2393 (2015)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors are grateful to the Czestochowa University of Technology for granting access to Intel CPU and Xeon Phi platforms providing by the MICLAB project No. POIG.02.03.00.24-093/13.

Author information

Authors and Affiliations

  1. Czestochowa University of Technology, Dabrowskiego 69, 42-201, Czestochowa, Poland

    Lukasz Szustak, Kamil Halbiniak, Adam Kulawik & Joanna Wrobel

  2. Intel Corporation, Swindon, UK

    Pawel Gepner

Authors
  1. Lukasz Szustak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kamil Halbiniak
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Adam Kulawik
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Joanna Wrobel
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Pawel Gepner
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lukasz Szustak .

Editor information

Editors and Affiliations

  1. Czestochowa University of Technolog, Czestochowa, Poland

    Roman Wyrzykowski

  2. Department of Computer Science, University of Southern California, Marina Del Rey, California, USA

    Ewa Deelman

  3. Electrical Engineering & Comput. Science, University of Tennessee, Knoxville, Tennessee, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Institute of Computer & Information Sci., Czestochowa, Poland

    Konrad Karczewski

  5. Department of Computer Science, AGH University of Science and Technology, Krakow, Poland

    Jacek Kitowski

  6. Systèmes d’informations, Big Data et Rec, AGH University of Science and Technology, Krakow, Poland

    Kazimierz Wiatr

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Szustak, L., Halbiniak, K., Kulawik, A., Wrobel, J., Gepner, P. (2016). Toward Parallel Modeling of Solidification Based on the Generalized Finite Difference Method Using Intel Xeon Phi. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2015. Lecture Notes in Computer Science(), vol 9573. Springer, Cham. https://doi.org/10.1007/978-3-319-32149-3_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-32149-3_39

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32148-6

  • Online ISBN: 978-3-319-32149-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation