Modeling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method
Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704, Vol: 62, Page: 61-77
2018
- 13Citations
- 10Captures
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Article Description
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.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S1007570418300583; http://dx.doi.org/10.1016/j.cnsns.2018.02.024; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85042367100&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S1007570418300583; https://dx.doi.org/10.1016/j.cnsns.2018.02.024
Elsevier BV
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