期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 82, 期 12, 页码 1010-1034出版社
WILEY
DOI: 10.1002/fld.4252
关键词
reduced-order modeling; parametrized fluid-structure interaction problem; monolithic method; proper orthogonal decomposition
类别
资金
- PRIN project 'Mathematical and numerical modeling of the cardiovascular system, and their clinical applications'
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 (C) 2016 John Wiley & Sons, Ltd.
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