Numerical Modelling of Shocks in Gases and Metals

Abstract

Results are presented for a range of one-dimensional shock wave problems in gaseous and metallic materials. These problems were solved numerically using Flux-Corrected Transport (FCT). FCT is a numerical technique which achieves high resolution without non-physical oscillations, especially in regions of steep gradients such as shock fronts. These types of problem involve solving the Eulerian inviscid fluid flow equations, namely the continuity equation, conservation of momentum and conservation of energy, with an appropriate equation of state. For gaseous materials the ideal gas equation of state was used and for metallic materials the 'stiffened-gas' or the Mie- Gruneisen equation of state. Shock wave problems in gases included the one- dimensional shock tube problem, a shock wave hitting a density discontinuity and shocks of equal magnitude colliding. Using the 'stiffened-gas' equation of state and the Mie-Gruneisen equation of state similar types of problems were solved for metallic materials, for example, a shock propagating through a piece of metal. A discussion of the performance of FCT to accurately model these problems is given. Currently work is being done on adding elastic-plastic (or viscous) terms and heat conduction terms to the fluid flow equations, to improve the description of flow in a solid material. Keywords: Shock mechanics, Blast effects, Shock fronts, Australia.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA218586

Entities

People

  • Moya B. Tyndall

Organizations

  • Defence Science and Technology Group

Tags

DTIC Thesaurus Topics

  • Blast
  • Discontinuities
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Fluid Flow
  • Ideal Gas Law
  • Mathematics
  • Mechanics
  • Oscillation
  • Physics
  • Shock Tubes
  • Shock Waves
  • Square Waves
  • Tubes
  • Two Dimensional
  • Waves

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Computational Fluid Dynamics (CFD)
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering