Dynamics of curved reaction fronts under a single-equation model
Article
Article Title | Dynamics of curved reaction fronts under a single-equation model |
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ERA Journal ID | 43 |
Article Category | Article |
Authors | Bhanot, R. P. (Author) and Strunin, D.V. (Author) |
Journal Title | Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal | |
Journal Citation | 57, pp. C398-C412 |
Number of Pages | 15 |
Year | 2018 |
Place of Publication | Australia |
ISSN | 1446-1811 |
1446-8735 | |
Digital Object Identifier (DOI) | https://doi.org/10.21914/anziamj.v57i0.10446 |
Web Address (URL) | https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/10446 |
Abstract | Fronts of reaction in certain systems (such as so-called solid flames)can be modelled by a high-order nonlinear partial differential equation, which we analyse numerically in this paper. Previously Strunin obtained stable spinning solutions of the equation using the Galerkin method. Here we use a more sophisticated and arguably more powerful method to study the equation further, namely the one-dimensional radial basis function method. As an initial step, we elaborated the numerical code and tested it by reproducing the spinning regimes for a range of initial conditions. In new series of experiments, we found a regime where the front is shaped as a pair of kinks spinning in a stable joint formation. The settled character of this regime is demonstrated. |
ANZSRC Field of Research 2020 | 490105. Dynamical systems in applications |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Faculty of Health, Engineering and Sciences |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q52y8/dynamics-of-curved-reaction-fronts-under-a-single-equation-model
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