We consider the instabilities of flows through a submerged canopy, and show how the full governing equations of the fluid-structure interactions can be reduced to a compact framework that captures many key features of vegetative flow. By modelling the canopy as a collection of homogeneous elastic beams, we predict the steady configuration of the plants in response to a unidirectional flow. This treatment couples the beam equations in the canopy to the fluid momentum equations. Our linear stability analysis suggests new insights into the development of instabilities at the surface of the vegetative region. In particular, we show that shear at the top of the canopy is a dominant factor in determining the onset of instabilities known as monami. Based on numerical and asymptotic analysis of the generalised eigenvalue problem, the system is shown to be stable if the canopy is sufficiently sparse or if the plants are sufficiently flexible.

中文翻译：

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通过水下植被的剪切引起的不稳定性

我们考虑了通过水下冠层的流动的不稳定性，并展示了如何将流固耦合的完整控制方程简化为一个紧凑的框架，该框架捕获了植物流的许多关键特征。通过将冠层建模为均匀弹性梁的集合，我们预测了植物响应单向流动的稳定配置。这种处理将冠层中的梁方程与流体动量方程耦合。我们的线性稳定性分析提出了对植被区表面不稳定性发展的新见解。特别是，我们表明冠层顶部的剪切是确定称为 monami 的不稳定性开始的主要因素。基于广义特征值问题的数值和渐近分析，