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Reduced order isogeometric analysis approach for PDEs in parametrized domains

Garotta F.
•
Demo N.
•
Tezzele M.
altro
Rozza G.
2020
  • book part

Abstract
In this contribution, we coupled the isogeometric analysis to a reduced order modelling technique in order to provide a computationally efficient solution in parametric domains. In details, we adopt the free-form deformation method to obtain the parametric formulation of the domain and proper orthogonal decomposition with interpolation for the computational reduction of the model. This technique provides a real-time solution for any parameter by combining several solutions, in this case computed using isogeometric analysis on different geometrical configurations of the domain, properly mapped into a reference configuration. We underline that this reduced order model requires only the full-order solutions, making this approach non-intrusive. We present in this work the results of the application of this methodology to a heat conduction problem inside a deformable collector pipe.
DOI
10.1007/978-3-030-48721-8_7
Archivio
https://hdl.handle.net/20.500.11767/130190
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85089615035
https://arxiv.org/abs/1811.08631
Diritti
open access
Soggetti
  • Free-form deformation...

  • Isogeometric analysi

  • Parametrized domain

  • Partial differential ...

  • Proper orthogonal dec...

  • Reduced order modelli...

  • Settore MAT/08 - Anal...

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