v/c_{s} for hydro shear 60, x = 200, y = z = 64

The Hydro Shear 60, x = 200, y = z = 64 data set has the smallest height and width, so we're seeing whether or not the flow leaving the box was subsonic or supersonic as this case would be thought to be more problematic (due to it being more smooshed). To do this we consider the ratio between the magnitude of the velocity vector , with components , and the sounds speed, .

So we defined

and

.

Note that is the Hydro/3DPressure expression in VisIt, i.e.

,

and that .

​GIF

Given that fluid would be sonic at a ratio of 1, we can see that anything orange and red is super/sonic, otherwise it is subsonic. So a lot of the fluid leaving the box is subsonic, however the clumps we see being flung off from the interface of the colliding flows is supersonic. This might be because in this simulation we are taking the magnitude of the velocity, and not just in the z-direction.

​GIF

Above is a simulation for , we still see a lot of subsonic fluid.

Objective: Going to make a 200x200x200 file, so by the 200th Chombo, the affects won't reach the boundary. Then I'll check the ratio of times for the different box sizes and determine how economical it'll be to have a box size that huge and to what extent we should shrink it.

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