Immersed Boundary Method

The immersed boundary (IB) method is a mathematical framework for studying fluid-structure interaction that has been applied in a variety of biofluids applications including blood flow through heart valves, aerodynamics of the vocal cords, sperm motility, insect flight, and jellyfish feeding dynamics. During my PhD, I built a general codebase for solving IB problems using algorithms developed in my thesis. This page showcases videos that demonstrate the capacities of my software.

Two-Dimensional Simulations

Elastic Star:
Evolution of an elastic membrane with a initial "star" shape configuration.
Simulation of a jellyfish-like immersed boundary where the mantel is composed of elastic and bending resistant links and the locomotion is achieved through time-dependant elastic links running across the bell.
Flow around Solid Cylinder:
Simulation of fluid flow around a solid cylinder modelled by a network of stiff springs that are tethered to a fixed spatial location.

Three-Dimensional Simulations

Cylindrical Valveless Pump:
Simulation of a three-dimensional cylindrical valveless pump where the cylinder is composed of an interwoven mesh of one-dimensional elastic fibers. By time-dependently changing the resting-length of fibers running along the circular cross-section of the cylinder, the immersed boundary can induce a flow in the interior of the cylinder.
Parametric Resonance of Spherical Shells:
Simulations of elastic spherical shells undergoing parametric resonance while immersed in a fluid. Reproduces the work of Will Ko.
Twisted Elastic Ring:
Dynamics of an elastic ring using the generalized immersed boundary method. Reproduces the work of Sookkyung Lim.