Volume 73, 2023CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems
|Page(s)||68 - 88|
|Published online||30 August 2023|
Parametrized non intrusive space-time approximation for explicit dynamic fem applications
Safran Tech, Etablissement Paris Saclay, Rue des Jeunes Bois-Chateaufort, 78114 Magny-Les-Hameaux, France
2 MINES ParisTech, PSL University, MAT - Centre des matriaux, CNRS UMR 7633, BP 87 91003 Evry, France
3 ISAE-ENSMA/Institut Pprime, Département FTC, 11 Boulevard Marie et Pierre Curie, 86073 Poitiers Cedex
In the following work, a benchmark of different non-intrusive model reduction approaches is performed on an explicit dynamic contact 3D-problem. The main purpose of this work is to evaluate the stability of the reduced model with respect to time along with the precision of these approaches with respect to the true solutions of interest. These solutions are the prediction of displacement and velocity fields. The precision of these approaches is also evaluated with respect to the evolution of some materials parameters. Six parameters vary in this study and we would like to predict the whole transient fast dynamic impact response with respect to each parameters. To this end, several models are trained : Proper Orthogonal Decomposition (POD) and Deep convolutional Neural Network (DcNN), in addition, a vectorized version of Interpolation in Grassman Manifolds is proposed. The benchmark performed illustrate that using DcNN’s allows to achieve the best precision and stability in predicting physical fields.
© EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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