Changes between Version 8 and Version 9 of u/erica/CFringanalysis

Timestamp:

07/01/15 17:47:00 (10 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/CFringanalysis

@@ -56 +56 @@
 [[latex($\rho0 = 1.67*10^{-24} ~g/cm^3$)]]
 
-Here is how the different shells of this sphere fall in over time,
+Here is how the different shells of this sphere fall in over time:
 
 [[Image(CFradius.png, 40%)]]
 
+Here I only cared about the shells with radii between the collision region and the simulation box. The collision region was 40 pc across, so decided to track interior shells down to 20 pc in radius. From this graph, you can see the freefall time of the ambient is about t=3.9 or t = 46 Myr. We only ran the simulation until 27 Myr, which is the red vertical line. 
 
+Here is how the different shells speed up over time, in this velocity plot (now in cgs, only plotted until the final simulation time):
 
+[[Image(CFvelocity.png, 40%)]]
+
+These curves are the velocity of a given shell (i.e. the outer radius of the various concentric spheres that make up the ambient medium). If that is confusing, [https://astrobear.pas.rochester.edu/trac/wiki/u/erica/UniformCollapse see this page].  
+
+Here is the density of the sphere over time as it collapses (the density is increasing everywhere in the sphere at the same rate, hence the sphere continues to have a uniform density over time):
+
+[[Image(CFdensity.png, 40%)]]
+
+With these last two data sets, here are ram pressure radial profiles. Now the different curves represent time, and are only plotted from t = 0 to t = tsim:
+
+[[Image(CFrampressure.png, 40%)]]
+
+Now, the post shock density is comparable to the density of the infalling ambient. However, the velocity is very different, as it should be in retrospect. This leads to large deviations between the ram pressure of the infalling ambient and the ram pressure of the splashed material.
+
+The incoming flows have a high speed, and once shocked, though decreased, is still high. The ambient, however, is starting from rest. This means, that by the time the entire simulation has completed (i.e. long after the ring has formed), the ambient has still not acquired enough momentum to make the ram pressures balance.
+
+In hindsight, this was always going to be the case, as the ring is not present in the hydro case, and so the ambient's own dynamics are too weak to constrain outflowing material from the collision region.
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