A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment's movies

Maika Goto, Kazunori Kuwana, Yasuhide Uegata, Shigetoshi Yazaki

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a simple and accurate procedure how to extract the values of model parameters in a flame/smoldering evolution equation from 2D movie images of real experiments. The procedure includes a novel method of image segmentation, which can detect an expanding smoldering front as a plane polygonal curve. The evolution equation is equivalent to the so-called Kuramoto-Sivashinsky (KS) equation in a certain scale. Our results suggest a valid range of parameters in the KS equation as well as the validity of the KS equation itself.

Original languageEnglish
Pages (from-to)881-891
Number of pages11
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume14
Issue number3
DOIs
Publication statusPublished - Mar 2021

Keywords

  • Evolving Jordan curve
  • Image intensity function
  • Image segmentation
  • Kuramoto-Sivashinsky
  • Smoldering combustion
  • Step-function adjusted method

Fingerprint

Dive into the research topics of 'A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment's movies'. Together they form a unique fingerprint.

Cite this