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.

Reduced order isogeometric analysis approach for PDEs in parametrized domains / Garotta, F.; Demo, N.; Tezzele, M.; Carraturo, M.; Reali, A.; Rozza, G.. - 137:(2020), pp. 153-170. [10.1007/978-3-030-48721-8_7]

Reduced order isogeometric analysis approach for PDEs in parametrized domains

Garotta F.;Demo N.;Tezzele M.;Reali A.;Rozza G.
2020-01-01

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.
137
Quantification of Uncertainty: Improving Efficiency and Technology
153
170
10.1007/978-3-030-48721-8_7
https://arxiv.org/abs/1811.08631
Garotta, F.; Demo, N.; Tezzele, M.; Carraturo, M.; Reali, A.; Rozza, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/130190
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