This work explores the development and the analysis of an efficient reduced order model for the study of a bifurcating phenomenon, known as the Coand\u{a} 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 behaviour. 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.

翻译：这项工作探索开发和分析一个高效的降序模型,用于在涉及液体和固态介质的多物理环境中研究称为Coand\u{a}效应的双向现象。考虑到流体-结构相互作用问题,我们的目标是将以前的工作归纳为对所涉物理的更可靠的描述。特别是,我们就引入弹性结构如何影响分解行为提供了若干见解。我们通过在单体正正正正正正正正正正正正正方形分解法的基础上开发一种减序分流算法来解决计算负担。我们比较了固体的不同构成关系,我们发现非线性超弹性法延缓了该标准模型的分解,而考虑到线弹性固态,同样的效应甚至会放大。