File(s) under permanent embargo
A reacting shock in a spherically symmetric gas
journal contribution
posted on 2023-05-20, 00:13 authored by Paul, RA, Lawrence ForbesLawrence ForbesIn this paper, we model the propagation of a reacting shock wave in a spherically symmetric combustible gas. Approximate solutions are found using a spectral method which builds the necessary shock jump conditions into the infinite series, and the problem is then solved in the spectral space. We present some numerical results, and it is then shown that the system may develop a secondary imploding shock front behind the primary shock. By application of a small amount of artificial diffusion, the spectral method is able to resolve this behaviour. The accuracies of these numerical solutions are verified by comparing them with a Godunov scheme.
Funding
Australian Research Council
History
Publication title
Journal of Engineering MathematicsVolume
113Pagination
1-11ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2018 Springer Nature B.V.Repository Status
- Restricted