FE formulation of detonation important by the stabilized Galerkin method

We introduce a finite element formulation of Detonation problems. The deton ation involves supersonic combustion waves which emanate from an exothermic chemical reaction occurring behind propagating shock waves. The developmen t of geometrically versatile schemes is required to meet practical needs. T he Galerkin/Least-squares method with entropy variables possesses good accu racy and stability properties. As a first attempt to handle chemical reacti on model, we use a simple two front model which has a good performance and a flexibility in adapting to the experimental data. It is emphasized that t he process of generation and propagation of the shock triple points has bee n demonstrated.