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Title:Detonation shock dynamics and comparisons with direct numerical simulation
Author(s):Aslam, Tariq D.; Stewart, D. Scott
Subject(s):Detonation Shock Dynamics
Abstract:Comparisons between direct numerical simulation (DNS) of detonation and detonation shock dynamics (DSD) is made. The theory of DSD defines the motion of the detonation shock in terms of intrinsic geometry of the shock surface, in particular for condensed phase explosives the shock normal velocity, Dn, the normal acceleration, Dn, and the total curvature, Κ. In particular, the properties of three intrinsic front evolution laws are studied and compared. These are 1) Constant speed detonation (Huygens' construction), 2) Curvature dependent speed propagation (Dn - Κ relation) , and 3) Curvature and speed dependent acceleration (Dn - Dn - Κ relation). We show that it is possible to measure shock dynamics directly from simulation of the reactive Euler equations and that subsequent numerical solution of the intrinsic partial differential equation for the shock motion ( e.g. a Dn - Dn - Κ relation) reproduces the exact shock motion with high precision. Finally, a few numerical examples will be given to demonstrate the properties of these DSD intrinsic evolution laws.
Issue Date:1997-12
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 873
Genre:Technical Report
Sponsor:US Air Force Wright Lab F08630-95-1-0004
Rights Information:Copyright 1997 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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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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