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Lindström, D. (2015). Evaluation of a Surrogate Based Method for Global Optimization. International Journal of Computer, Electrical, Automation, Control and Information Engineering, 9(7), 1636-1642
Open this publication in new window or tab >>Evaluation of a Surrogate Based Method for Global Optimization
2015 (English)In: International Journal of Computer, Electrical, Automation, Control and Information Engineering, E-ISSN 1307-6892, Vol. 9, no 7, p. 1636-1642Article in journal (Refereed) Published
Abstract [en]

We evaluate the performance of a numerical method for global optimization of expensive functions. The method is using a response surface to guide the search for the global optimum. This metamodel could be based on radial basis functions, kriging, or a combination of different models. We discuss how to set the cyclic parameters of the optimization method to get a balance between local and global search. We also discuss the eventual problem with Runge oscillations in the response surface.

Place, publisher, year, edition, pages
World Academy of Science, Engineering and Technology, 2015
Keywords
Expensive function, infill sampling criterion, kriging, global optimization, response surface, Runge phenomenon.
National Category
Mathematical Analysis
Research subject
ENGINEERING, Mathematics
Identifiers
urn:nbn:se:hv:diva-8149 (URN)
Available from: 2015-09-17 Created: 2015-09-17 Last updated: 2019-05-14Bibliographically approved
Lindström, D. (2010). Robustness analysis of airfoil performance: DETC2010-28261. In: Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference: August 15-18, 2010, Montreal, Quebec, Canada. Paper presented at ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineer (pp. 1-6). ASME, the American Society of Mechanical Engineers
Open this publication in new window or tab >>Robustness analysis of airfoil performance: DETC2010-28261
2010 (English)In: Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference: August 15-18, 2010, Montreal, Quebec, Canada, ASME, the American Society of Mechanical Engineers , 2010, p. 1-6Conference paper, Published paper (Refereed)
Abstract [en]

We demonstrate a technique to evaluate the aerodynamic robustness of a given blade profile which it is exposed to stochastic geometrical variation. The technique is based on random fields, with geometrical deviations continuously defined over the entire structure, with a prescribed statistical distribution function and a given correlation between these deviations. Control points are defined on the blade surface to model the blade geometry disturbances. At each control point a stochastic deviation is defined, which acts in the normal direction of the blade. By modeling disturbances in the normal direction instead of in the separate Cartesian directions, we automatically reduce the number of stochastic variables by a factor two. The perturbation variables are transformed via Karhunen-Loève eigenvalue decomposition, giving stochastically independent variables. The robustness is finally estimated by a Monte Carlo simulation, where computational fluid dynamic simulations are performed to evaluate the resulting change in blade performance for given geometrical perturbations.

Place, publisher, year, edition, pages
ASME, the American Society of Mechanical Engineers, 2010
Keywords
aerodynamic robustness stochastic geometrical variation deviation perturbations random fields cfd Monte Carlo
National Category
Computational Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:hv:diva-3146 (URN)
Conference
ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineer
Projects
KK-stiftelsens projekt 2005/0249, Optimeringsmetoder för robust design av turbomaskinblad
Note
CD-ROM. DETC2010-28261Available from: 2011-01-27 Created: 2011-01-27 Last updated: 2015-06-24Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0001-9748-1362

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