Investigation of symmetric non-spherical particle shapes by applying low-resolution spherical harmonics

摘要

The issue of mathematical modelling of non-spherical shapes of particles is considered.Thus, application of the spherical harmonics (SH) technique in modelling the simplest symmetricstar-shaped particles is demonstrated by applying low-resolution functions. The investigation wasrestricted to a circular cylinder and a rectangular parallelepiped, geometrically primitive, butwidespread oblate industrial shapes. The modelling quality was studied by considering selectederror norms and the most important integral characteristics of a particle geometry, including thesurface area and volume. The presented results discovered new features of the spherical harmonictechnique and enhanced understanding of their applicability to describe non-spherical shapes.