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A computational investigation of the interaction of a blast wave with a simple internal structure is presented. The focus of the research is on the fluid dynamics involved in the explosion and the resulting shock interactions. In particular, a Rayleigh-Taylor-type instability associated with the density gradients behind the blast wave is studied in detail. Computational issues associated with the accurate prediction of this phenomenon are considered. The effects of this instability on the complex blast wave system and vice versa are fully analyzed.