Model order reduction for bifurcating phenomena in fluid-structure interaction problems.
Model order reduction for bifurcating phenomena in fluid-structure interaction problems.
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DOI：
10.1002/fld.5118
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发表时间：
2022-10
影响因子：
1.8
通讯作者：
中科院分区：
文献类型：
--
作者：
这项工作探索了一个有效的降阶模型的发展和分析，以研究一种被称为Coandă效应的分叉现象，在涉及流体和固体介质的多物理环境中。考虑到流体-结构相互作用问题，我们的目标是推广以前的工作，以更可靠地描述所涉及的物理。特别是，我们对弹性结构的引入如何影响分叉行为提供了几点见解。我们已经通过开发一种基于单片固有正交分解的降阶分支算法来解决计算负担。我们比较了固体的不同本构关系，我们观察到一个非线性超弹性定律延迟了标准模型的W.r.t.分叉，而当考虑线弹性固体时，同样的影响甚至被放大。偏导数方程的非线性会引起分叉现象的产生，分叉现象在物理和工程系统的研究中起着关键作用，因为它们会导致与标称运行条件的偏差。这一观点讨论了一种分叉现象，称为Coandă效应，可以在心脏病理中观察到。我们的研究解决了一个流固耦合问题，它的计算复杂性已经通过建立一个降阶模型来解决。
This work explores the development and the analysis of an efficient reduced order model for the study of a bifurcating phenomenon, known as the Coandă effect, in a multi‐physics setting involving fluid and solid media. Taking into consideration a fluid‐structure interaction problem, we aim at generalizing previous works towards a more reliable description of the physics involved. In particular, we provide several insights on how the introduction of an elastic structure influences the bifurcating behavior. We have addressed the computational burden by developing a reduced order branch‐wise algorithm based on a monolithic proper orthogonal decomposition. We compared different constitutive relations for the solid, and we observed that a nonlinear hyper‐elastic law delays the bifurcation w.r.t. the standard model, while the same effect is even magnified when considering linear elastic solid. The nonlinearity of a partial derivative equation can produce the onset of bifurcation phenomena, which play a key role in the study of physical and engineering systems, as they can lead to deviation from nominal operating conditions. This perspective discusses a bifurcation phenomenon, known as the Coandă effect, which can be observed in a cardiac pathology. Our investigation addressed a fluid‐structure interaction problem whose computational complexity has been tackled by developing a reduced‐order model.
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DOI：
10.1002/nme.4772
发表时间：
2015-05-04
影响因子：
2.9
作者：
Ballarin, Francesco;Manzoni, Andrea;Rozza, Gianluigi
通讯作者：
Rozza, Gianluigi
影响因子：
3.7
作者：
FEARN, RM;MULLIN, T;CLIFFE, KA
通讯作者：
CLIFFE, KA
影响因子：
3.7
作者：
Hawa, T;Rusak, Z
通讯作者：
Rusak, Z
影响因子：
2.1
作者：
Bertagna, Luca;Veneziani, Alessandro
通讯作者：
Veneziani, Alessandro
影响因子：
2.1
作者：
BREZZI, F;RAPPAZ, J;RAVIART, PA
通讯作者：
RAVIART, PA