Abstract
We present a simple mathematical model and numerical simulations of the hexagonal pattern formation of a honeycomb using the immersed boundary method. In our model, we assume that the cells have a circular shape at their inception and that there is a force acting upon the entire circumference of the cell. The net force from the individual cells is a key factor in their transformation from a circular shape to a rounded hexagonal shape. Numerical experiments using the proposed mathematical model confirm the hexagonal patterns observed in honeybee colonies.
Original language | English |
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Pages (from-to) | 61-77 |
Number of pages | 17 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 62 |
DOIs | |
Publication status | Published - 2018 Sep |
Keywords
- Hexagonal pattern
- Honeycomb
- Immersed boundary method
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics