So, that video is a 3d example. I'm actually doing a similar test in 2D. In the 2D axisymmetric test, all of my data represents a cross-section of the 3D space. None of the values are averaged, just axisymmetric.
Here is a shot of one of my older tests, showing a water droplet in dark blue hitting a no-slip boundary in air (light blue):
This was generated by showing the volume fraction. Anywhere it is greater than 0.5, dark blue is shown. Anywhere it is less than 0.5, light blue is shown.
This is my rather bad paint illustration showing the disjoint surface data superposed onto the surface (I'd superpose the actual surface but I'm locked out of Tecplot for a bit):
The surface file for a 2D case just contains a bunch of disjoint lines that are really close to the actual surface, and it's these that, only in 2D, I cannot get them to work with a time plot. The 3D files work, but they are a bunch of disjoint triangles instead of disjoint lines, and I don't have to do an X-Y line plot with that. I can upload more items as soon as I can get back into Tecplot, which might be a day or so.