Random non-overlapping ellipsoids (can touch), respecting volume fraction and particle size distribution

Hi,

I am looking to generate random ellipsoids in a cube, given the volume fraction of ellipsoids (say 40%), non-overlapping (can touch), and they must follow certain particle size distribution. One instance could be, 60% of 2mm, 20% of 4 mm, 15% of 8 mm and 5% of size 16 mm. These sizes (2mm, 4 mm...) are the lengths of the largest semi-principal axes.

Thank you.

S

Answer 1

[bulalili]

Hi, have you solved this problem? I have encountered similar problems recently, thank you very much.

Answer 2

[Vahid Tavanashad]

Look at this paper. The authors have provided their MATLAB code as supplementary material

Random generation of periodic hard ellipsoids based on molecular dynamics: A computationally-efficient algorithm

Journal of Computational Physics

https://doi.org/10.1016/j.jcp.2013.07.004