Numerical modelling of shocks in gases and metals
Abstract
Results are presented for a range of onedimensional shock wave problems in gaseous and metallic materials. These problems were solved numerically using FluxCorrected Transport (FCT). FCT is a numerical technique which achieves high resolution without nonphysical 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 stiffenedgas or the MieGruneisen equation of state. Shock wave problems in gases included the onedimensional shock tube problem, a shock wave hitting a density discontinuity and shocks of equal magnitude colliding. Using the stiffenedgas equation of state and the MieGruneisen 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 elasticplastic (or viscous) terms and heat conduction terms to the fluid flow equations, to improve the description of flow in a solid material.
 Publication:

Unknown
 Pub Date:
 1989
 Bibcode:
 1989nmsg.reptR....T
 Keywords:

 Conservation Equations;
 Continuity Equation;
 Discontinuity;
 Flow Equations;
 Fluid Flow;
 Gas Density;
 Gases;
 Mathematical Models;
 Metals;
 Solids Flow;
 Collisions;
 Energy Conservation;
 Equations Of State;
 Explosions;
 Inviscid Flow;
 Shock Loads;
 Shock Tubes;
 Shock Wave Propagation;
 Thermal Conductivity;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer