Computational Techniques for Shock Wave Diffraction Problems.

Abstract

The front tracking method has been shown to be correct and useful for a range of gas dynamics problems containing shock waves, slip lines, material boundaries and detonation waves. Validation tests compared to laboratory experiment, analytic solutions and independently validated numerical computations shows this method to be correct. Several definitive successes, both theoretical and numerical, have been achieved as part of this effort. Classification of two dimensional elementary waves and a correct formulation of the two dimensional Riemann problems were first achieved under this contract. Models for curved detonation fronts were studied, to find wave speed dependence on front curvature. This was a major open problem in the modeling of detonation waves. Computations of many elementary wave interactions were tested, including the Mach triple point, regular reflection, and the shock-contact interactions of two basic types. Detailed validation of density contours was made possible because of the high quality experimental data available. Certain interactions between tracked waves, leading to bifurcation of wave topology, were completed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 02, 1986
Accession Number
ADA163776

Entities

People

  • James Glimm

Organizations

  • New York University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Cauchy Problem
  • Computations
  • Computer Science
  • Computers
  • Contracts
  • Curvature
  • Detonation Waves
  • Differential Equations
  • Diffraction
  • Equations
  • Experimental Data
  • Gas Dynamics
  • Numerical Analysis
  • Shock Waves
  • Two Dimensional
  • Waves

Readers

  • Coastal Oceanography
  • Explosive Engineering.
  • Graph Algorithms and Convex Optimization.