Reduced order modeling (ROM) provides an efficient framework to compute solutions of parametric problems. Basically, it exploits a set of precomputed high-fidelity solutions—computed for properly chosen parameters, using a full-order model—in order to find the low dimensional space that contains the solution manifold. Using this space, an approximation of the numerical solution for new parameters can be computed in real-time response scenario, thanks to the reduced dimensionality of the problem. In a ROM framework, the most expensive part from the computational viewpoint is the calculation of the numerical solutions using the full-order model. Of course, the number of collected solutions is strictly related to the accuracy of the reduced order model. In this work, we aim at increasing the precision of the model also for few input solutions by coupling the proper orthogonal decomposition with interpolation (PODI)—a data-driven reduced order method—with the active subspace (AS) property, an emerging tool for reduction in parameter space. The enhanced ROM results in a reduced number of input solutions to reach the desired accuracy. In this contribution, we present the numerical results obtained by applying this method to a structural problem and in a fluid dynamics one.

Accepted:

Published online:

Nicola Demo ^{1};
Marco Tezzele ^{1};
Gianluigi Rozza ^{1}

@article{CRMECA_2019__347_11_873_0, author = {Nicola Demo and Marco Tezzele and Gianluigi Rozza}, title = {A non-intrusive approach for the reconstruction of {POD} modal coefficients through active subspaces}, journal = {Comptes Rendus. M\'ecanique}, pages = {873--881}, publisher = {Elsevier}, volume = {347}, number = {11}, year = {2019}, doi = {10.1016/j.crme.2019.11.012}, language = {en}, }

TY - JOUR AU - Nicola Demo AU - Marco Tezzele AU - Gianluigi Rozza TI - A non-intrusive approach for the reconstruction of POD modal coefficients through active subspaces JO - Comptes Rendus. Mécanique PY - 2019 SP - 873 EP - 881 VL - 347 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2019.11.012 LA - en ID - CRMECA_2019__347_11_873_0 ER -

%0 Journal Article %A Nicola Demo %A Marco Tezzele %A Gianluigi Rozza %T A non-intrusive approach for the reconstruction of POD modal coefficients through active subspaces %J Comptes Rendus. Mécanique %D 2019 %P 873-881 %V 347 %N 11 %I Elsevier %R 10.1016/j.crme.2019.11.012 %G en %F CRMECA_2019__347_11_873_0

Nicola Demo; Marco Tezzele; Gianluigi Rozza. A non-intrusive approach for the reconstruction of POD modal coefficients through active subspaces. Comptes Rendus. Mécanique, Volume 347 (2019) no. 11, pp. 873-881. doi : 10.1016/j.crme.2019.11.012. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.11.012/

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