Browsing by Author "Salmoiraghi, Filippo"

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    Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes
    (Springer, AMOS Advanced Modelling and Simulation in Engineering Sciences, 2016) Salmoiraghi, Filippo; Ballarin, Francesco; Heltai, Luca; Rozza, Gianluigi; Mathematics
    In this work we provide a combination of isogeometric analysis with reduced order modelling techniques, based on proper orthogonal decomposition, to guarantee computational reduction for the numerical model, and with free-form deformation, for versatile geometrical parametrization. We apply it to computational fluid dynamics problems considering a Stokes flow model. The proposed reduced order model combines efficient shape deformation and accurate and stable velocity and pressure approximation for incompressible viscous flows, computed with a reduced order method. Efficient offine-online computational decomposition is guaranteed in view of repetitive calculations for parametric design and optimization problems. Numerical test cases show the efficiency and accuracy of the proposed reduced order model.