POD–Galerkin monolithic reduced order models for parametrized fluid-structure interaction problems

Francesco Ballarin, Gianluigi Rozza

Risultato della ricerca: Contributo in rivistaArticolo in rivista

20 Citazioni (Scopus)

Abstract

In this paper, we propose a monolithic approach for reduced-order modeling of parametrized fluid-structure interaction problems based on a proper orthogonal decomposition–Galerkin method. Parameters of the problem are related to constitutive properties of the fluid or structural problem, or to geometrical parameters related to the domain configuration at the initial time. We provide a detailed description of the parametrized formulation of the multiphysics problem in its components, together with some insights on how to obtain an offline–online efficient computational procedure through the approximation of parametrized nonlinear tensors. Then, we present the monolithic proper orthogonal decomposition–Galerkin method for the online computation of the global structural displacement, fluid velocity, and pressure of the coupled problem. Finally, we show some numerical results to highlight the capabilities of the proposed reduced-order method and its computational performances. Copyright © 2016 John Wiley & Sons, Ltd.
Lingua originaleEnglish
pagine (da-a)1010-1034
Numero di pagine25
RivistaInternational Journal for Numerical Methods in Fluids
Volume82
DOI
Stato di pubblicazionePubblicato - 2016

Keywords

  • monolithic method
  • reduced-order modeling
  • proper orthogonal decomposition
  • parametrized fluid-structure interaction problem

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