Numerical Analysis of a Combustion Model for Layered Media Via Mathematical Homogenization

Abstract

We propose to investigate a mathematical modelfor combustion in a rod made of periodically alternating thinlayers of two combustible materials such as those occurring ingun propellants. We apply the homogenization theory to resolvethe fast oscillations of the model’s coefficients across adjacentlayers, and set up numerical simulations to better understandthe reactions occurring in such media