NUMERICAL SIMULATIONS OF DETONATION IN CONVERGING CHAMBERS

A multi-dimensional numerical algorithm for detonation gas dynamics is described. The algorithm consists of a dispersion-controlled shock-ca pturing scheme and a pseudo-kinetic chemical reaction model. One-dimen sional results obtained with this algorithm appear to be in good agree ment with both the experimental data and self-similar solutions of gas eous detonation. This implies that coefficients of the pseudo-kinetic reaction rate are well tuned. Results of two-dimensional detonation co mputations in converging chambers reveal some global features which ag ree with the experimental findings, and can be explained using shock w ave dynamic theory. It is shown that the numerical algorithm proposed is capable of predicting the pressure, temperature, and density ratio of detonations in a way suitable for engineering applications'. The al gorithm can be extended to three-dimensional problems.