We present a general simulation approach for fluid-solid interactions based on the fully-Eulerian Reference Map Technique (RMT). The approach permits the modeling of one or more finitely-deformable continuum solid bodies interacting with a fluid and with each other. A key advantage of this approach is its ease of use, as the solid and fluid are discretized on the same fixed grid, which greatly simplifies the coupling between the phases. We use the method to study a number of illustrative examples involving an incompressible Navier-Stokes fluid interacting with multiple neo-Hookean solids. Our method has several useful features including the ability to model solids with sharp corners and the ability to model actuated solids. The latter permits the simulation of active media such as swimmers, which we demonstrate. The method is validated favorably in the flag-flapping geometry, for which a number of experimental, numerical, and analytical studies have been performed. We extend the flapping analysis beyond the thin-flag limit, revealing an additional destabilization mechanism to induce flapping.

中文翻译：

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不可压缩流固耦合参考图技术

我们提出了一种基于全欧拉参考图技术 (RMT) 的流固相互作用的通用模拟方法。该方法允许对一个或多个有限变形连续实体与流体相互作用以及彼此相互作用进行建模。这种方法的一个关键优势是它的易用性，因为固体和流体在同一个固定网格上离散，这大大简化了相之间的耦合。我们使用该方法研究了许多示例，这些示例涉及不可压缩的 Navier-Stokes 流体与多个新胡克固体相互作用。我们的方法有几个有用的功能，包括模拟带有尖角的实体的能力和模拟驱动实体的能力。后者允许模拟活动媒体，例如我们演示的游泳者。该方法在旗帜飘动几何学中得到了很好的验证，为此已经进行了大量的实验、数值和分析研究。我们将扑翼分析扩展到薄旗极限之外，揭示了诱发扑翼的额外不稳定机制。