We adopted operator splitting method to solve the governing equations of explosion and impact problems, and used fuzzy interface treatment to crack 3D multi-material interface difficulties. Then based on message passing interface (MPI), the data dependence and relevance between adjacent subdomains in parallel computing of the Eulerian method were studied and analyzed. At last, we numerically simulated blast in air and shaped charge jet using PMMIC-3D hydrocode, and performed empirical and experimental comparisons. The results show that the cell spatial step has important influence on computational accuracy, and the calculating result with smaller cell spatial step is close to the empirical formula one. Therefore, it is necessary to develop parallel computing to enlarge the calculation scale at smaller cell spatial step for the explosion and impact issues.