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Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling

Han, Zhong-Hua und Görtz, Stefan (2012) Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling. AIAA Journal, 50 (9), Seiten 1885-1896. DOI: 10.2514/1.59677. ISSN 0001-1452.

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Kurzfassung

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.

Dokumentart:Zeitschriftenbeitrag
Titel:Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Han, Zhong-HuaNICHT SPEZIFIZIERT
Görtz, StefanNICHT SPEZIFIZIERT
Datum:September 2012
Erschienen in:AIAA Journal
Referierte Publikation:Ja
In Open Access:Nein
In SCOPUS:Ja
In ISI Web of Science:Ja
Band:50
DOI :10.2514/1.59677
Seitenbereich:Seiten 1885-1896
ISSN:0001-1452
Status:veröffentlicht
Stichwörter:Kriging, Cokriging, surrogate model, variable fidelity, CFD, aerodynamics
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Luftfahrt
HGF - Programmthema:Starrflügler
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L AR - Starrflüglerforschung
DLR - Teilgebiet (Projekt, Vorhaben):L - Simulation & Validierung
Standort: Braunschweig
Institute & Einrichtungen:Institut für Aerodynamik und Strömungstechnik > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Hinterlegt von: Stefan Görtz
Hinterlegt am:04 Sep 2012 14:55
Letzte Änderung:07 Feb 2013 20:29

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