Low-resolution spherical harmonics models in application to quasi-quadric particle shapes
In this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term “quasi” is used hereafter...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2016-12-01
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| Series: | Engineering Structures and Technologies |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/EST/article/view/2473 |
| Summary: | In this paper a numerical analysis was performed developing low-resolution spherical harmonics (LRSH) models in order to describe particle shapes. The potential of LRSH, limited by the expansion degree L ≤ 3, to describe quasi-regular particle shapes was explored. The term “quasi” is used hereafter to indicate the monomeric, almost regular shaped, particle described by a single continuous function. This approach reflects the shape of a major part of soil minerals. It was shown, that even the simplest case of the suggested low-resolution harmonics technique with L = 1 showed sufficient accuracy. The main drawback of the suggested approach was that the low-resolution harmonics yield particle shapes with nearly sharp angles, there-fore, enhanced analysis of local surface curvatures becomes necessary. An application using quasi-ellipsoidal particles is enclosed. |
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| ISSN: | 2029-882X 2029-8838 |