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eScience on Distributed Computing Infrastructure pp 391–406Cite as

Adaptive Finite Element Modelling of Welding Processes

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8500))

Abstract

We describe the ModFEM_met service within the PL-Grid Infrastructure, designed to model welding processes using adaptive finite element method (FEM). The code aims at utilizing modern computing environments to produce high quality results for large scale problems. It exploits different forms of parallelism to improve the performance of simulations. The program uses a three-dimensional model of laser welding for materials with different chemical compositions.

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References

  1. Banaś, K.: A modular design for parallel adaptive finite element computational kernels. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds.) ICCS 2004, Part II. LNCS, vol. 3037, pp. 155–162. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Banaś, K.: On a modular architecture for finite element systems. I. Sequential codes. Computing and Visualization in Science 8, 35–47 (2005)

    Article  Google Scholar 

  3. Banaś, K., Michalik, K.: Design and development of an adaptive mesh manipulation module for detailed FEM simulation of flows. In: Sloot, P.M.A., van Albada, G.D., Dongarra, J. (eds.) Proceedings of the International Conference on Computational Science, ICCS 2010, University of Amsterdam, The Netherlands, May 31-June 2. Procedia Computer Science, vol. 1, pp. 2043–2051. Elsevier (2010)

    Google Scholar 

  4. Banaś, K., Płaszewski, P., Macioł, P.: Numerical integration on {GPUs} for higher order finite elements. Computers and Mathematics with Applications 67(6), 1319–1344 (2014)

    Article  MathSciNet  Google Scholar 

  5. Bangerth, W., Hartmann, R., Kanschat, G.: Deal.II – A general-purpose object-oriented finite element library. ACM Transactions on Mathematical Software 33(4), 24 (2007)

    Article  MathSciNet  Google Scholar 

  6. Bastian, P., Blatt, M., Dedner, A., Engwer, C., Klofkorn, R., Kornhuber, R., Ohlberger, M., Sander, O.: A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE. Computing 82(2), 121–138 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Bosak, B., Komasa, J., Kopta, P., Kurowski, K., Mamoński, M., Piontek, T.: New Capabilities in QosCosGrid Middleware for Advanced Job Management, Advance Reservation and Co-allocation of Computing Resources – Quantum Chemistry Application Use Case. In: Bubak, M., Szepieniec, T., Wiatr, K. (eds.) PL-Grid 2011. LNCS, vol. 7136, pp. 40–55. Springer, Heidelberg (2012), http://dl.acm.org/citation.cfm?id=2184180.2184184

    Chapter  Google Scholar 

  8. Cecka, C., Lew, A.J., Darve, E.: Assembly of finite element methods on graphics processors. International Journal for Numerical Methods in Engineering 85(5), 640–669 (2011), http://dx.doi.org/10.1002/nme.2989

    Article  MATH  Google Scholar 

  9. Dziekonski, A., Sypek, P., Lamecki, A., Mrozowski, M.: Generation of large finite-element matrices on multiple graphics processors. International Journal for Numerical Methods in Engineering 94(2), 204–220 (2013), http://dx.doi.org/10.1002/nme.4452

    Article  MathSciNet  MATH  Google Scholar 

  10. Franca, L., Frey, S.: Stabilized finite element methods ii: The incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 99, 209–233 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  11. Georgescu, S., Chow, P., Okuda, H.: GPU acceleration for FEM-based structural analysis. Archives of Computational Methods in Engineering 20(2), 111–121 (2013)

    Article  MathSciNet  Google Scholar 

  12. Ha, E., Kim, W.: A study of low-power density laser welding process with evolution of free surface. International Journal of Heat and Fluid Flow 26, 613–621 (2005)

    Article  Google Scholar 

  13. Han, L., Liou, F.W.: Numerical investigation of the influence of laser beam mode on melt pool. International Journal of Heat and Mass Transfer 47, 4385–4402 (2004)

    Article  MATH  Google Scholar 

  14. Krużel, F., Banaś, K.: Vectorized OpenCL implementation of numerical integration for higher order finite elements. Computers and Mathematics with Applications 66(10), 2030–2044 (2013)

    Article  MATH  Google Scholar 

  15. Logg, A., Mardal, K.A., Wells, G.N., et al.: Automated Solution of Differential Equations by the Finite Element Method. Springer (2012)

    Google Scholar 

  16. Löhner, R.: Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods. Wiley (2008)

    Google Scholar 

  17. Marker, B., Poulson, J., Batory, D., van de Geijn, R.: Designing linear algebra algorithms by transformation: Mechanizing the expert developer. In: Daydé, M., Marques, O., Nakajima, K. (eds.) VECPAR. LNCS, vol. 7851, pp. 362–378. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  18. Michalik, K., Banaś, K., Płaszewski, P., Cybułka, P.: ModFEM – a computational framework for parallel adaptive finite element simulations. Computer Methods in Materials Science 13(1), 3–8 (2013)

    Google Scholar 

  19. Michalik, K., Banaś, K., Płaszewski, P., Cybułka, P.: Modular FEM framework ModFEM for generic scientific parallel simulations. Computer Science 14(3) (2013), https://journals.agh.edu.pl/csci/article/view/262

  20. Płaszewski, P., Paszyński, M., Banaś, K.: Architecture of iterative solvers for hp-adaptive finite element codes. Accepted for publication in Computer Assisted Methods in Engineering and Science 20(1), 43–54 (2013)

    MathSciNet  Google Scholar 

  21. Płaszewski, P., Banaś, K.: Performance analysis of iterative solvers of linear equations for hp-adaptive finite element method. In: Alexandrov, V.N., Lees, M., Krzhizhanovskaya, V.V., Dongarra, J., Sloot, P.M.A. (eds.) Proceedings of the International Conference on Computational Science, ICCS 2013, Barcelona, Spain, June 5-7. Procedia Computer Science, vol. 18, pp. 1584–1593. Elsevier (2013)

    Google Scholar 

  22. Reguly, I., Giles, M.: Finite element algorithms and data structures on graphical processing units. International Journal of Parallel Programming, 1–37 (2013), http://dx.doi.org/10.1007/s10766-013-0301-6

  23. Rońda, J., Siwek, A.: Modelling of laser welding process in the phase of keyhole formation. Archives of Civil and Mechanical Engineering 3, 739–752 (2011)

    Google Scholar 

  24. Roy, G., Elmer, J., DebRoy, T.: Mathematical modeling of heat transfer, fluid flow, and solidification during linear welding with a pulsed laser beam. Journal of Applied Physics 100 (2006)

    Google Scholar 

  25. Siwek, A.: Model of surface tension in the keyhole formation area during laser welding. Computer Methods in Material Science 13(1), 166–172 (2013)

    Google Scholar 

  26. Siwek, A., Banaś, K., Rońda, J., Chłoń, K., Cybułka, P., Michalik, K., Płaszewski, P.: Modelowanie procesu spawania z wykorzystaniem programu adaptacyjnej metody elementów skończonych ModFEM. Hutnik 80(4), 248–253 (2013) (in Polish)

    Google Scholar 

  27. Tomov, S., Dongarra, J., Baboulin, M.: Towards dense linear algebra for hybrid GPU accelerated manycore systems. Parallel Computing 36(5-6), 232–240 (2010)

    Article  MATH  Google Scholar 

  28. Williams, S., Oliker, L., Vuduc, R., Shalf, J., Yelick, K., Demmel, J.: Optimization of sparse matrix-vector multiplication on emerging multicore platforms. Parallel Comput. 35(3), 178–194 (2009)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Krzysztof Banaś, Kazimierz Chłoń, Paweł Cybułka, Kazimierz Michalik, Przemysław Płaszewski & Aleksander Siwek

Authors
  1. Krzysztof Banaś
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  2. Kazimierz Chłoń
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  3. Paweł Cybułka
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  4. Kazimierz Michalik
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  5. Przemysław Płaszewski
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  6. Aleksander Siwek
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Editor information

Editors and Affiliations

  1. Department of Computer Science and ACC Cyfronet AGH, AGH University of Science and Technology, Kraków, Poland

    Marian Bubak

  2. Department of Computer Science, and ACC Cyfronet AGH, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Kraków, Poland

    Jacek Kitowski

  3. Department of Electronics and ACC Cyfronet AGH, AGH University of Science and Technology, Kraków, Poland

    Kazimierz Wiatr

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Banaś, K., Chłoń, K., Cybułka, P., Michalik, K., Płaszewski, P., Siwek, A. (2014). Adaptive Finite Element Modelling of Welding Processes. In: Bubak, M., Kitowski, J., Wiatr, K. (eds) eScience on Distributed Computing Infrastructure. Lecture Notes in Computer Science, vol 8500. Springer, Cham. https://doi.org/10.1007/978-3-319-10894-0_28

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  • DOI: https://doi.org/10.1007/978-3-319-10894-0_28

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10893-3

  • Online ISBN: 978-3-319-10894-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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