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arXiv · 1811.08631

Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains

Fabrizio Garotta·Nicola Demo·Marco Tezzele·Massimo Carraturo·Alessandro Reali·Gianluigi Rozza
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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.

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Fabrizio Garotta, Nicola Demo, Marco Tezzele, Massimo Carraturo, Alessandro Reali, Gianluigi Rozza. 2018-11-21. Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains. https://doi.org/10.1007/978-3-030-48721-8_7

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