In silico investigation of the formation of multiple intense zebra stripes using extending domain

  • Hyundong Kim
  • , Jyoti
  • , Soobin Kwak
  • , Seokjun Ham
  • , Junseok Kim*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We perform an in silico investigation of the formation of multiple intense zebra stripes by extending the domain with an appropriate extending speed. The common zebra has alternating dark and light stripes, creating a two phase pattern. However, some Equus burchelli zebras have an intermediate gray color stripe situated between the dark and light stripes. To numerically investigate the formation of multiple intense zebra stripes, we first find the equilibrium state of the governing system in the one-dimensional (1D) static domains using various frequency modes. After finding the equilibrium state for the governing system in the 1D static domains, we stack a numerical data. Then, we load the stacked numerical data to use as an initial state for finding the growth rate that forms the multiple intense zebra stripe formation in the 1D extended domains. Next, convergence experiments are conducted to verify the convergence of the numerical method for the governing system. Finally, numerical simulations are performed to confirm the formation of multiple intense zebra stripes in two-dimensional extending domains and on evolving curved surfaces.

Original languageEnglish
Pages (from-to)648-658
Number of pages11
JournalMathematics and Computers in Simulation
Volume225
DOIs
Publication statusPublished - 2024 Nov

Bibliographical note

Publisher Copyright:
© 2024 International Association for Mathematics and Computers in Simulation (IMACS)

Keywords

  • Extending domain
  • Multiple intense zebra stripe formation
  • Turing pattern

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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