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Journal Articles Structural and Multidisciplinary Optimization Year : 2009

Bi-level model reduction for coupled problems

Rajan Filomeno Coelho
  • Function : Author
Piotr Breitkopf
  • Function : Author
Catherine Knopf-Lenoir
  • Function : Author
Pierre Villon
  • Function : Author


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.

Dates and versions

hal-01994248 , version 1 (25-01-2019)



Rajan Filomeno Coelho, Piotr Breitkopf, Catherine Knopf-Lenoir, Pierre Villon. Bi-level model reduction for coupled problems. Structural and Multidisciplinary Optimization, 2009, 39 (4), pp.401-418. ⟨10.1007/s00158-008-0335-3⟩. ⟨hal-01994248⟩
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