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Title:On the dynamics of self-sustained one-dimensional detonations: A numerical study in the shock-attached frame
Author(s):Kasimov, Aslan R.; Stewart, D. Scott
Abstract:In this work we investigate the dynamics of self-sustained detonation waves that have an embedded information boundary such that the dynamics is influenced only by a finite region adjacent to the lead shock. We introduce the boundary of such a domain which is shown to be the separatrix of the forward characteristic lines as a generalization of the concept of a sonic locus to unsteady detonations. The concept plays a fundamental role both in steady detonations and in theories of much more frequently observed unsteady detonations. The definition has a precise mathematical form from which its relationship to known theories of detonation stability and non-linear dynamics can be clearly identified. With a new numerical algorithm for integration of reactive Euler equations in a shock-attached frame that we have also developed we demonstrate the main properties of the unsteady sonic locus such as its role as an information boundary. In addition we introduce the so-called "non-reflecting" boundary condition at the far end of computational domain in order to minimize the influence of the spurious reflected waves.
Issue Date:2003-11
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 1035
Genre:Technical Report
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-08
Is Version Of:Published as: Kasimov, Aslan R., and D. Scott Stewart. On the dynamics of self-sustained one-dimensional detonations: A numerical study in the shock-attached frame. Physics of Fluids, v.16, No. 10, 2004, pp. 3566-3578. or DOI: 10.1063/1.1776531. Copyright 2004 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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