Abstract
The methods of sensitivity analysis allow to reduce computational cost of multi-iterative optimization procedures by finding the most influential parameters of the particular model. The article presents details of implementation of the numerical library, which is dedicated to sensitivity analysis and can be used by middleware in e-infrastructures. Then, the application of implemented methods to parallel and distributed models is presented on the example of Statistically Similar Representative Volume Element (SSRVE) in the field of metal forming. The influence of parameters, used in the SSRVE methodology, on accuracy of obtained results and performance of calculations is analyzed. The results of sensitivity analysis are presented in the article as well.
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
Preview
Unable to display preview. Download preview PDF.
References
Król, D., Wrzeszcz, M., Kryza, B., Dutka, Ł., Kitowski, J.: Scalarm: massively self-scalable platform for data farming. In: Bubak, M., Turała, M., Wiatr, K. (eds.) CGW 2012 Proceedings, pp. 53–54. ACK Cyfronet AGH, Kraków (2012)
Saltelli, A., Ratto, M., Andres, T., Campolongo, F., Cariboni, J., Gatelli, D., Saisana, M., Tarantola, S.: Global Sensitivity Analysis. The Primer. John Wiley & Sons Ltd. (2008)
Morris, M.D.: Factorial sampling plans for preliminary computational experiments. Technometrics 33, 161–174 (1991)
Sobol, I.M.: Sensitivity analysis for non-linear mathematical models. Mathematical Modelling and Computational Experiment 1, 407–414 (1993)
Sobol, I.M.: Uniformly distributed sequences with additional uniformity properties. USSR Computational Mathematics and Mathematical Physics 16(5), 236–242 (1976)
Schroeder, J., Balzani, D., Brands, D.: Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions. Archives of Applied Mechanics 81, 975–997 (2011)
Beran, M.: Statistical continuum theories. Wiley, New York (1968)
Brands, D., Schroder, J., Balzani, D.: On the incorporation of microstructural information in dual phase steel simulations. In: Hirt, G., Tekkaya, A.E. (eds.) Proc. 10th ICTP, pp. 823–826. Aachen (2011)
Rauch, L., Madej, L.: Application of the automatic image processing in modeling of the deformation mechanisms based on the digital representation of microstructure. International Journal for Multiscale Computational Engineering 8, 343–356 (2010)
Rauch, L., Bachniak, D., Bzowski, K., Pietrzyk, M.: Reconstruction of 3D microstructures of one phase materials. Rudy i Metale Nieżelazne 58, 789–794 (2013)
Povirk, G.L.: Incorporation of microstructural information into models of two-phase materials. Acta Metallurgica 43, 3199–3206 (1995)
Ambrozinski, M., Bzowski, K., Rauch, L., Pietrzyk, M.: Application of statistically similar representative volume element in numerical simulations of crash box stamping. Archives of Civil and Mechanical Engineering 12, 126–132 (2012)
Rycerz, K., Bubak, M., Ciepiela, E., Harężlak, D.: Gubała, T., Meizner, J., Pawlik, M.: Composing, Execution and Sharing of Multiscale Applications. Submitted to Future Generation Computer Systems, after 1st review (2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Rauch, Ł., Szeliga, D., Bachniak, D., Bzowski, K., Pietrzyk, M. (2014). Application of Sensitivity Analysis to Grid-Based Procedure Dedicated to Creation of SSRVE. 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_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-10894-0_26
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10893-3
Online ISBN: 978-3-319-10894-0
eBook Packages: Computer ScienceComputer Science (R0)