University of Illinois Urbana-Champaign

Level set methods applied to modeling detonation shock dynamics

Aslam, Tariq D.; Bdzil, John B.; Stewart, D. Scott

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https://hdl.handle.net/2142/112494

Description

Title
Level set methods applied to modeling detonation shock dynamics
Author(s)
  • Aslam, Tariq D.
  • Bdzil, John B.
  • Stewart, D. Scott
Issue Date
1995-06
Keyword(s)
  • Level Set Methods
  • Detonation Shock Dynamics
Abstract
We give an extension of the level set formuiation of Osher and Sethian, which describes the dynamics of surfaces that propagate under the influence of their own curvature. We consider an extension of their original algorithms for finite domains that includes boundary conditions. We discuss this extension in the context of a specific application that comes from the theory of Detonation Shock Dynamics (DSD). We give an outline of the theory of DSD which includes the formulation of the boundary conditions that comprise the engineering model. We give the formulation of the level set method, as applied to our application with finite boundary conditions. We develop a numerical method to implement arbitrarily complex 2-D boundary conditions, and give a few representative calculations. We also discuss the dynamics of level curve motion and point out restrictions that arise when applying boundary conditions.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 797
  • 1995-6019
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112494
Sponsor(s)/Grant Number(s)
US Air Force Wright Laboratory 95/06 F 08630 92 K 0057 95/06; USAF Office of Scientific Research Aasert Grant 95/06 F 49620 93 1 0532 95/06
Copyright and License Information
Copyright 1995 Board of Trustees of the University of Illinois

Owning Collections

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.