A simple and fast numerical method for solving flame/smoldering evolution equations

Maika Goto; Kazunori Kuwana; Shigetoshi Yazaki

doi:10.14495/jsiaml.10.49

JSIAM Letters

Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617

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Articles

A simple and fast numerical method for solving flame/smoldering evolution equations

Maika Goto, Kazunori Kuwana, Shigetoshi Yazaki

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Keywords: Kuramoto-Sivashinsky equation, combustion of a paper sheet, moving boundary problem, asymptotic uniform distribution method

JOURNAL FREE ACCESS

2018 Volume 10 Pages 49-52

DOI https://doi.org/10.14495/jsiaml.10.49

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Abstract

We propose a simple and fast numerical method for solving an evolution equation for closed flame/smoldering fronts, equivalent to the Kuramoto-Sivashinsky equation in a scale. Comparison of numerical results and an experiment suggests that our model equation is valid for not only propagating gas-phase flame fronts but also expanding smoldering fronts over thin solids.

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