Abstract
Three surrogate models, or reduced-order models (ROMs), are constructed using the proper orthogonal decomposition (POD) applied in the parameter space. We use a reduced snapshot set adopting full and fractional factorial planes together with quadtree distribution for the initial positioning of the snapshots. To compute the POD coefficients, response surface methodology is employed. In the first application a ROM is constructed in order to analyze the subsonic flow past a two-dimensional airfoil. The second example regards a transonic two-dimensional flow in a five-dimensional shape parameter space. In the last case a surrogate model for database generation considering a three-dimensional aircraft configuration is constructed. In all the three cases a posteriori error estimates were performed and the surrogate models showed good agreement with the CFD reference solution.
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Dolci, V., Arina, R. (2016). On Aerodynamic Design with a POD Surrogate Model. In: Frediani, A., Mohammadi, B., Pironneau, O., Cipolla, V. (eds) Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-45680-5_9
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DOI: https://doi.org/10.1007/978-3-319-45680-5_9
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