  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.
