Dynamics and Thermodynamics of Simple Two-Phase Reacting Mixtures for Application to Explosive Initiation Modeling

摘要

The front tracking hydrocode FronTier limits finite difference solution of the dynamic continuum mechanics equations to regions bounded by tracked fronts (shock waves, contact discontinuities, and gradient discontinuities) and uses local solutions of the Riemann problem to advance the positions of these fronts. This solution method places stringent requirements on the availability of thermodynamics information. With the addition of an appropriate reacting mixture model, the code can be applied to solid explosive initiation problems. The required thermodynamic functions are more difficult to obtain for reacting mixtures even though the equations of state for each of the phases present are known. We have developed a mixture model based on assumptions of mechanical equilibrium and thermal isolation that can be used independent of the choice of equations of state for the phases, and we have derived expressions for the necessary thermodynamic functions.