Abstract
In the limit of small heat release, large activation energy and weak nonlinearity, the propagation of detonation waves obeys a Geometrical Optics approximation. These equations develop caustic singularities, where the approximation fails. Here we present a derivation of a modified set of equations for weakly nonlinear detonation waves incorporating lateral diffraction effects. The modified set of equations does not fail at caustics.
Keywords
- Wave Front
- Shock Front
- Detonation Wave
- Triple Point
- Geometrical Optic
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This work was performed in part while the author was visiting the Department of Mathematics at Stanford University, Stanford, California. The author was partially supported by grants from the AFOSR, NSF and the Wade Foundation.
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© 1989 Springer-Verlag
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Rosales, R.R. (1989). Diffraction effects in weakly nonlinear detonation waves. In: Carasso, C., Charrier, P., Hanouzet, B., Joly, JL. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083879
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DOI: https://doi.org/10.1007/BFb0083879
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