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.
CITATION STYLE
Garotta, F., Demo, N., Tezzele, M., Carraturo, M., Reali, A., & Rozza, G. (2020). Reduced order isogeometric analysis approach for pdes in parametrized domains. In Lecture Notes in Computational Science and Engineering (Vol. 137, pp. 153–170). Springer. https://doi.org/10.1007/978-3-030-48721-8_7
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