Bhanot, R. P. and Strunin, D.V. (2018) Dynamics of curved reaction fronts under a single-equation model. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 57. C398-C412. ISSN 1446-8735
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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.
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| Item Type: | Article (Commonwealth Reporting Category C) |
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| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | Published version deposited in accordance with the copyright policy of the publisher. Published as part of the Proceedings of the 12th Biennial Engineering Mathematics and Application Conference. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Date Deposited: | 18 Mar 2019 00:32 |
| Last Modified: | 28 Aug 2020 04:32 |
| Fields of Research (2008): | 01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490105 Dynamical systems in applications |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| Identification Number or DOI: | doi:10.21914/anziamj.v57i0.10446 |
| URI: | http://eprints.usq.edu.au/id/eprint/36176 |
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