University of Illinois Urbana-Champaign

Detonation shock dynamics and comparisons with direct numerical simulation

Aslam, Tariq D.; Stewart, D. Scott

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https://hdl.handle.net/2142/112578

Description

Title
Detonation shock dynamics and comparisons with direct numerical simulation
Author(s)
  • Aslam, Tariq D.
  • Stewart, D. Scott
Issue Date
1997-12
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 873
  • 1997-6034
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112578
Sponsor(s)/Grant Number(s)
US Air Force Wright Lab F08630-95-1-0004
Copyright and License Information
Copyright 1997 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.