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Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling

Han, Zhong-Hua and Görtz, Stefan (2012) Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling. AIAA Journal, 50 (9), pp. 1885-1896. American Institute of Aeronautics and Astronautics (AIAA). doi: 10.2514/1.59677. ISSN 0001-1452.

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The efficiency of building a surrogate model for the output of a computer code can be dramatically improved via variable-fidelity surrogate modeling techniques. In this article, a hierarchical kriging model is proposed and used for variable-fidelity surrogate modeling problems. Here, hierarchical kriging refers to a surrogate model of a highfidelity function that uses a kriging model of a sampled lower-fidelity function as a model trend. As a consequence, the variation in the lower-fidelity data is mapped to the high-fidelity data, and a more accurate surrogate model for the high-fidelity function is obtained. A self-contained derivation of the hierarchical kriging model is presented. The proposed method is demonstrated with an analytical example and used for modeling the aerodynamic data of an RAE 2822 airfoil and an industrial transport aircraft configuration. The numerical examples show that it is efficient, accurate, and robust. It is also observed that hierarchical kriging provides a more reasonable mean-squared-error estimation than traditional cokriging. It can be applied to the efficient aerodynamic analysis and shape optimization of aircraft or any other research areas where computer codes of varying fidelity are in use.

Item URL in elib:https://elib.dlr.de/77167/
Document Type:Article
Title:Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:September 2012
Journal or Publication Title:AIAA Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 1885-1896
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
Keywords:Kriging, Cokriging, surrogate model, variable fidelity, CFD, aerodynamics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Görtz, Stefan
Deposited On:04 Sep 2012 14:55
Last Modified:08 Mar 2018 18:41

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