Hi, all:
 
Is there a way to calculate the total volume of the particles, excluding the 
intersection (overlapped) volume of the particles? In addition, if an assembly 
of particle is intersected with a cubic wall, is there a method to accurately 
calcualte the intersection volume? I attached a figure which shows my purpose 
(I need the V[Red]). If anyone can provide a way to go will be very much 
appreciated. I have some thoughts, but no idea whether it is easy to implement.
 
(1) Currently I have read some materials about Alpha-Shape theory originated 
from molecular dynamics, however, such theory might not be able to solve the 
intersection with cubic wall.
(2) Another way is to follow CSG (constructive solid geometry), with dividing 
the whole domain into small grids, then count the number of those grids, but I 
am not sure whether this will be very time comsuming, since I need to calcualte 
the volume at each time step, and this is still an approximate way, although we 
can adjust the resolution (the size of the grid)
 
I hope I have made my problem clear, any kind of suggestion is welcome, thank 
you very much!
 
 
 

<<attachment: volume.GIF>>

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