Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Springer, AMOS Advanced Modelling and Simulation in Engineering Sciences
Abstract
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.
Description
Keywords
reduced order modelling, isogeometric analysis, free form deformation, industrial flows, shape design, stabilized Stokes flows