Theoretical and numerical structure of unstable detonations

A. Bourlioux, A. J. Majda

Research output: Chapter in Book/Report/Conference proceedingChapter


In this review, we emphasize the recent progress achieved in understanding the behaviour of unstable detonations through the interaction of theoretical, asymptotic, and numerical ideas. Theoretical predictions and numerical simulations for unstable one-dimensional detonations are described in detail. The linear and nonlinear theories for unstable detonations are generalized to several space dimensions. A new dedicated numerical method leads to better insight into the physical phenomena of unstable detonations, such as the nature of the turbulence generated in the wake of the front. Simplified models derived through asymptotics and comparisons between theoretical and numerical predictions are stressed throughout this paper. (from Authors)

Original languageEnglish (US)
Title of host publicationPhilosophical Transactions - Royal Society of London, A
Number of pages40
StatePublished - 1995

ASJC Scopus subject areas

  • General Engineering


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