Bi-level model reduction for coupled problems
Résumé
In this work a methodology is proposed for
the optimization of coupled problems, and applied to
a 3D flexible wing. First, a computational fluid dynamics code coupled with a structural model is run to
obtain the pressures and displacements for different
wing geometries controlled by the design variables.
Secondly, the data are reduced by Proper Orthogonal
Decomposition (POD), allowing to expand any field as
a linear combination of specific modes; finally, a surrogate model based on Moving Least Squares (MLS)
is built to express the POD coefficients directly as
functions of the design variables. After the validation of
this bi-level model reduction strategy, the approximate
models are used for the multidisciplinary optimization
of the wing. The proposed method leads to a reduction
of the weight by 6.6%, and the verification of the solution with the accurate numerical solvers confirms
that the solution is feasible.