Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-29T16:10:11.464Z Has data issue: false hasContentIssue false

A two-sided shooting method in computation of travelling combustion waves of a solid material

Published online by Cambridge University Press:  17 February 2009

Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Numerical solutions for travelling combustion waves of a solid material are sought. The algorithm of computation is based on a two-sided shooting method. It is found that there is a lower bound of the wave speed c, say c*, such that for c < c* no numerical solution can be constructed. This c* is a function of the activation energy of the medium.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Aronson, D. G. and Weinberger, H. F., “Multidimensional nonlinear diffusion arising in population genetics”, Advances in Mathematics 30 (1978) 3376.CrossRefGoogle Scholar
[2]Tarn, K. K., “Traveling wave solutions for a combustion problem”, Studies in Appl. Math. 81 (1989) 117124.Google Scholar
[3]Tarn, K. K., “Traveling wave solutions for combustion in a porous medium”, Studies in Appl. Math. 81 (1989) 249263.Google Scholar
[4]Tarn, K. K. and Andonowati, , “Computation of travelling combustion waves in a porous medium”, Studies in Appl. Math. 91 (1994) 179187.Google Scholar
[5]Zeldovich, Ya. B., Barenblatt, G. I., Librovich, V. B. and Makhiviladze, G. M., The mathematical theory of combustion and explosions (Consultants Bureau, Plenum, New York, 1985).CrossRefGoogle Scholar