Kriging models for global approximation in simulation-based multidisciplinary design optimization

Timothy W. Simpson, Timothy M. Mauery, John J. Korte, Farrokh Mistree

Research output: Contribution to journalArticlepeer-review

867 Scopus citations

Abstract

Response surface methods have been used for a variety of applications in aerospace engineering, particularly in multidisciplinary design optimization. We investigate the use of kriging models as alternatives to traditional second-order polynomial response surfaces for constructing global approximations for use in a real aerospace engineering application, namely, the design of an aerospike nozzle. Our objective is to examine the difficulties in building and using kriging models to create accurate global approximations to facilitate multidisciplinary design optimization. Error analysis of the response surface and kriging models is performed, along with a graphical comparison of the approximations. Four optimization problems are also formulated and solved using both sets of approximation models to gain insight into their use for multidisciplinary design optimization. We find that the kriging models, which use only a constant "global" model and a Gaussian correlation function, yield global approximations that are slightly more accurate than the response surface models.

Original languageEnglish (US)
Pages (from-to)2233-2241
Number of pages9
JournalAIAA journal
Volume39
Issue number12
DOIs
StatePublished - Dec 2001

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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