Paul, RA and Forbes, LK, A reacting shock in a spherically symmetric gas, Journal of Engineering Mathematics, 113, (1) pp. 1-11. ISSN 0022-0833 (2018) [Refereed Article]
Copyright 2018 Springer Nature B.V.
In 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.
|Item Type:||Refereed Article|
|Keywords:||combustion, Salínikov, shock, spectral method, spherical coordinates. shock waves, reaction scheme, gas flow|
|Research Division:||Mathematical Sciences|
|Research Group:||Applied mathematics|
|Research Field:||Theoretical and applied mechanics|
|Objective Division:||Expanding Knowledge|
|Objective Group:||Expanding knowledge|
|Objective Field:||Expanding knowledge in the mathematical sciences|
|UTAS Author:||Paul, RA (Dr Rhys Paul)|
|UTAS Author:||Forbes, LK (Professor Larry Forbes)|
|Funding Support:||Australian Research Council (DP140100094)|
|Deposited By:||Mathematics and Physics|
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