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Modeling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method
- Authors
- Jeong, Darae; Choi, Yongho; Kim, Junseok
- Issue Date
- 9월-2018
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Honeycomb; Hexagonal pattern; Immersed boundary method
- Citation
- COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.62, pp.61 - 77
- Indexed
- SCIE
SCOPUS
- Volume
- 62
- Start Page
- 61
- End Page
- 77
- ISSN
- 1007-5704
- 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. (c) 2018 Elsevier B.V. All rights reserved.
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