Title: Fluid-Structure Interaction for the Classroom: Interpolation, Hearts, and Swimming!,
Abstract: While students may find spline interpolation easily digestible, based on
their familiarity with continuity of a function and its derivatives, some of
its inherent value may be missed when students only see it applied to standard
data interpolation exercises. In this paper, we offer alternatives where
students can qualitatively and quantitatively witness the resulting dynamical
differences when objects are driven through a fluid using different spline
interpolation methods. They say, 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 unfold. To solve the
fluid-structure interaction system, the open source software IB2d is used. In
that vein, all simulation codes, analysis scripts, and movies are provided for
streamlined use.