ITP: Streamlines, Streaklines, and Pathlines Applet

It is interesting to visualize how/why these lines are different using an example.

EXAMPLE

Given a time-dependent velocity field such as $v_x = sin(t)$ and $v_y = 1$ it is instructive to look at how each of these visualization lines look/evolve:

show pathlines show streamline show streaklines

There are a few interesting observations that can be made based on this exercise: