Optional surrogate modelling approaches for combining experimental and computational fluid dynamics data sets

Kuya, Yuichi, Zhang, X. and Takeda, Kenji (2009) Optional surrogate modelling approaches for combining experimental and computational fluid dynamics data sets. 5th AIAA Multidisciplinary Design Optmization Specialist Conference, Palm Springs, United States. 03 - 06 May 2009.

Abstract

In this study multi-fidelity surrogate modelling for combining data sets of wind tunnel
experiments and computations is examined, dealing with different types of errors. Co-
kriging regression is constructed with the low-fidelity sample data of the computations and
the high-fidelity data of the wind tunnel experiments, and is compared with co-kriging
and polynomial response surface approaches. Face-centred central composite design is
used to obtain the high-fidelity sample data for the co-kriging and co-kriging regression,
where a blocking method is used to prevent systematic error between block boundaries.
A randomisation method is for the wind tunnel experiments to reduce systematic error.
Co-kriging regression has the potential to reduce the effect of systematic error working
with randomisation method. The test case of a race car wing in ground effect is used here,
and shows that while the polynomial response surface can not indicate a local optimum,
the co-kriging and co-kriging regression do identify the twin optima that can be explored
in more detail by adding sample points. The co-kriging regression shows a lower root
mean square error compared to the other approximations. For assessing the confidence of
surrogate models, the combined uncertainty of the approximations is shown, comprising
the modelling uncertainty and the sample data uncertainty.

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