Brooks, Christopher James, Forrester, A.I.J., Keane, A.J. and Shahpar, S.
Multi-fidelity design optimisation of a transonic compressor rotor.
In, 9th European Conf. Turbomachinery Fluid Dynamics and Thermodynamics, Istanbul, Turkey,
21 - 25 Mar 2011.
This paper demonstrates the application of Kriging based approximations to the aerodynamic
shape optimisation of a transonic compressor rotor where multiple ﬁdelities of analysis are
available. An extension to the co-Kriging method is implemented, and attention is paid to the
efﬁcient construction of the approximate models. The initial data sample within each level of
the model is selected using space-ﬁlling designs, and the covariance structure of the co-Kriging
models is obtained using a maximum likelihood estimation based on gradient optimisation with
adjoint functions. An efﬁcient leave-one-out cross-validation method is used to estimate model
accuracy and is used to guide initial model reﬁnement.
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