Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

Francesco Ballarin, Filippo Salmoiraghi, Luca Heltai, Gianluigi Rozza

Risultato della ricerca: Contributo in rivistaArticolo in rivista

14 Citazioni (Scopus)

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 offline–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.
Lingua originaleEnglish
pagine (da-a)1-22
Numero di pagine22
RivistaAdvanced Modeling and Simulation in Engineering Sciences
Volume3
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • Computational fluid dynamics (CFD)
  • Free form deformation (FFD)
  • Isogeometric analysis (IGA)
  • Proper orthogonal decomposition (POD)
  • Reduced order models (ROM)
  • Stokes flows

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