Effect of curvature on detonation speed
This is the second in a series of papers describing a program for the numerical modelling of detonation waves. In this paper, the validity is established for an asymptotic theory, developed by J. Jones, for the correction to detonation wave speed due to the curvature of an expanding cylindrically symmetric detonation wave. A test problem is taken for an expanding cylindrically symmetric CJ (Chapman-Jouguet) detonation wave. A random choice computation in which the reaction zone is resolved and in which operator splitting is applied to both the geometrical source terms and the chemical source terms is used to solve this problem. The solution by this method on a fine grid is taken as exact. The solution using the quasi steady state theory of Jones is also applied to this problem. It is shown numerically that Jones' equations supply the correction to wave speed due to the curvature of the front to first order in the inverse of radius. 13 refs., 8 figs.
- Research Organization:
- New York Univ., NY (USA). Courant Mathematics and Computing Lab.
- DOE Contract Number:
- AC02-76ER03077
- OSTI ID:
- 5532092
- Report Number(s):
- DOE/ER/03077-274; ON: DE86013318
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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DETONATION WAVES
MATHEMATICAL MODELS
COMBUSTION
NUMERICAL SOLUTION
PRESSURE EFFECTS
SHOCK WAVES
THEORETICAL DATA
TIME DEPENDENCE
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