Theoretical and numerical structure of unstable detonations

A. Bourlioux, A. J. Majda

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages29-68
Number of pages40
Volume350
Edition1692
StatePublished - 1995

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Detonation
Numerical methods
Turbulence
Computer simulation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Bourlioux, A., & Majda, A. J. (1995). Theoretical and numerical structure of unstable detonations. In Philosophical Transactions - Royal Society of London, A (1692 ed., Vol. 350, pp. 29-68)

Theoretical and numerical structure of unstable detonations. / Bourlioux, A.; Majda, A. J.

Philosophical Transactions - Royal Society of London, A. Vol. 350 1692. ed. 1995. p. 29-68.

Research output: Chapter in Book/Report/Conference proceedingChapter

Bourlioux, A & Majda, AJ 1995, Theoretical and numerical structure of unstable detonations. in Philosophical Transactions - Royal Society of London, A. 1692 edn, vol. 350, pp. 29-68.
Bourlioux A, Majda AJ. Theoretical and numerical structure of unstable detonations. In Philosophical Transactions - Royal Society of London, A. 1692 ed. Vol. 350. 1995. p. 29-68
Bourlioux, A. ; Majda, A. J. / Theoretical and numerical structure of unstable detonations. Philosophical Transactions - Royal Society of London, A. Vol. 350 1692. ed. 1995. pp. 29-68
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