Abstract
For practical application in engineering numerical simulations are required to be reliable and reproducible. Unfortunately crash simulations are highly complex and nonlinear and small changes in the initial state can produce big changes in the results. This is caused partially by physical instabilities and partially by numerical instabilities. Aim of the project is to identify the numerical sensitivities in crash simulations and suggest methods to reduce the scatter of the results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
H. Askes, D. Nguyen, A. Tyas, Increasing the critical time step: micro-inertia, inertia penalties and mass scaling. Comput. Mech. 47, 657–667 (2011). doi:10.1007/s00466-010-0568-z
D. Benson, Y. Bazilevs, M. Hsu, T. Hughes, Isogeometric shell analysis: the Reissner-Mindlin shell. Comput. Methods Appl. Mech. Eng. 199, 276–289 (2010). doi:10.1016/j.cma.2009.05.011
Ch. Eck, O. Mangold, R. Prohl, A. Tkachuk, Reduction of numerical sensitivities in crash simulations on HPC-computers (HPC-10). in High Performance Computing in Science and Engineering ’12, ed. by W.E. Nagel, D.H. Krõner, M.M. Resch (Springer, Berlin, 2013), 547–560. doi:10.1007/978-3-642-33374-3_39
C.A. Felippa, A compendium of FEM integration formulas for symbolic work, Eng. Comput. 21, 867–890 (2004). doi:10.1108/02644400410554362
S. Gavoille, Enrichissement modal du selective mass scaling (in French), in Proceedings of 11e Colloque National en Calcul des Structures by Calcul des Structures et Modélisation (CSMA, 2013)
O. Mangold. Finite Element Generator User’s Manual (2012)
National Agency for Finite Element Methods & Standards (Great Britain), The Standard NAFEMS Benchmarks (NAFEMS, Hamilton, 1990)
L. Olovsson, K. Simonsson, M. Unosson, Selective mass scaling for explicit finite element analyses. Int. J. Numer. Methods Eng. 63, 1436–1445 (2005). doi:10.1002/nme.1293
L. Olovsson, K. Simonsson, Iterative solution technique in selective mass scaling. Commun. Numer. Methods Eng. 22, 77–82 (2006) DOI:10.1002/cnm.806
J.C. Simo, T.J.R. Hughes, Computational Inelasticity (Springer, Berlin, 1998)
A. Tkachuk, M. Bischoff, Variational methods for selective mass scaling. Comput. Mech. (2013). doi:10.1007/s00466-013-0832-0
A. Tkachuk, M. Bischoff, Applications of variationally consistent selective mass scaling in explicit dynamics, in Proceedings of the Fourth ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Kos Island, Greece, June 2013, ed. by M. Papadrakakis, V. Papadopoulos, V. Plevris
A. Vogel, S. Reiter, M. Rupp, A. Nägel, G. Wittum. UG 4 - a novel flexible software system for simulating PDE based models on high performance computers. Comput. Vis. Sci. (in press)
C. Wieners. Nonlinear solution methods for infinitesimal perfect plasticity. Z. Angew. Math. Mech. 87, 643–660 (2007)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Eck, C., Kovalenko, Y., Mangold, O., Prohl, R., Tkachuk, A., Trickov, V. (2013). Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10). In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘13. Springer, Cham. https://doi.org/10.1007/978-3-319-02165-2_48
Download citation
DOI: https://doi.org/10.1007/978-3-319-02165-2_48
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02164-5
Online ISBN: 978-3-319-02165-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)