IB2d Valentine's Day Simulations!

Valentine's Day 2018

The first Valentine's Day simulation - a pulsing heart!

Mathematically interpolating between two different size hearts. The hole in the heart allows more fluid to get "pumped out" and "pumped in".
 

Visualized:

  • Heart geometry

  • The fluid's velocity vector field

  • The fluid's vorticity

Concentric heart pulsing! Mathematically interpolating each heart between two different geometries. The hole in the heart allows more fluid to get "pumped out" and "pumped in".
 

Visualized:

  • Heart geometry

  • The fluid's velocity vector field

  • The fluid's vorticity

Valentine's Day 2019

Multiple concentric hearts pulsing and pushing fluid past TCNJ! Each heart is interpolated between two different geometries. The hole in the heart allows more fluid to get "pumped out" and "pumped in".
 

Visualized:

  • Heart and TCNJ geometry

  • The fluid's vorticity

Valentine's Day 2020

A very Star Wars and Star Trek inspired simulation - colliding vortex rings cause a small blob to explode into a heart!
 

Visualized:

  • Hearts and TCNJ

  • The colormap and contours represent Lagrangian Coherent Structures (via finite-time Lyapunov exponents approximations)

Valentine's Day 2021