TY - JOUR
T1 - POD–Galerkin monolithic reduced order models for parametrized fluid-structure interaction problems
AU - Ballarin, Francesco
AU - Rozza, Gianluigi
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - monolithic method
KW - parametrized fluid-structure interaction problem
KW - proper orthogonal decomposition
KW - reduced-order modeling
KW - monolithic method
KW - parametrized fluid-structure interaction problem
KW - proper orthogonal decomposition
KW - reduced-order modeling
UR - http://hdl.handle.net/10807/174130
U2 - 10.1002/fld.4252
DO - 10.1002/fld.4252
M3 - Article
VL - 82
SP - 1010
EP - 1034
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
ER -