Super DEM for Layered Surface

I am trying to use super DEM for non-spherical particles for layered particle surfaces. I have a few questions

How will you determine the composition of the superquadric shapes? With five free parameters, there are any number of possibilities from spheres to ellipsoids to cylinders to blocks. Should I use a single set of aspect ratios and exponents per particle layer, or will this needs to be done using a probabilistic model?

Looking forward to hearing from you.

Thanks and Regards,

Debashis

Hi, Debashis. I guess this question is common, especially when you use the superquadric equation for the first time. The easy way to understand this equation is to plot its 3d surface. There is a tool in MFiX’s GUI (graphical user interface) that shows the SQP’s shape. If you are familiar with some mathematical software, such as MATLAB and Mathematica, you can also plot directly.

Note, the relation of some commonly used variables of the superquadric equation: m=2/e2, n=2/e1.
Attached are two examples of 3D surfaces plotted in MATLAB and Mathematica.

The Matlab script is modified from this reference:

https://www.mathworks.com/matlabcentral/fileexchange/40673-minimum-distance-between-two-superellipsoids

Plot by Matlab:

Plot by Mathematica:

SQP_surface_Matlab_Mathematica_Codes.zip (1.1 MB)

Dr. Dai,

Thank you very much.

I really appreciate it.

Thanks and Regards,

Debashis