SIAM Review, Volume 63, Issue 1, Page 181-207, January 2021.
While students may find spline interpolation quite digestible based on their familiarity with the continuity of a function and its derivatives, some of its inherent value may be missed when they only see it applied to standard data interpolation exercises. In this paper, we offer alternatives in which students can qualitatively and quantitatively witness the resulting dynamical differences when objects are driven through a fluid using different spline interpolation methods. They say that seeing is believing; here we showcase the differences between linear and cubic spline interpolation using examples from fluid pumping and aquatic locomotion. Moreover, students can define their own interpolation functions and visualize the dynamics that unfold. To solve the fluid-structure interaction system, the open-source fluid dynamics software IB2d is used. In that spirit, all simulation codes, analysis scripts, and movies are provided for streamlined use.

中文翻译：

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课堂的流体结构交互：插值、心形和游泳！

SIAM 评论，第 63 卷，第 1 期，第 181-207 页，2021 年 1 月。
虽然学生可能会发现基于对函数连续性及其导数的熟悉程度的样条插值很容易理解，但当他们只看到它应用于标准数据插值练习时，可能会错过它的一些内在价值。在本文中，我们提供了替代方案，让学生可以定性和定量地见证使用不同样条插值方法通过流体驱动对象时产生的动态差异。他们说眼见为实；在这里，我们使用流体泵送和水上运动的示例展示了线性和三次样条插值之间的差异。此外，学生可以定义自己的插值函数并可视化展开的动态。为了解决流固耦合系统，使用了开源流体动力学软件 IB2d。