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

机译:用于参数化流固耦合问题的POD-Galerkin整体式降阶模型

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摘要

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.
机译:在本文中,我们提出了一种基于适当的正交分解-Galerkin方法的参数化流固耦合问题降阶建模的整体方法。问题的参数与流体或结构问题的本构特性有关,或者与在初始时间与畴配置有关的几何参数有关。我们将对多物理场问题的参数化提法进行详细描述,并提供一些有关如何通过参数化非线性张量的近似获得离线在线有效计算程序的见解。然后,我们提出了整体整体正交分解-Galerkin方法,用于在线计算整体结构位移,流体速度和耦合问题的压力。最后,我们显示一些数值结果,以突出提出的降阶方法的功能及其计算性能。版权所有(C)2016 John Wiley&Sons,Ltd.

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