Links between Detonation Wave Propagation and Reactive Flow Models

The WBL model for detonation wave propagation was extended to allow more general initiation in the context of level set methods. Initiation could then be induced fairly seamlessly from reactive flow simulations. The accuracy of WBL detonation compared favourably with results from full reactive flow, and proved surprisingly robust with respect to changes in numerical parameters used to trigger WBL detonation from the local state in the reactive flow simulation. The level set implementation of WBL detonation was generalised to apply to a Lagrangian mesh rather than the previous Eulerian scheme; the resulting model could then be used to model initially moving explosive and thus to treat scenarios such as reflected-shock initiation. A scheme was developed to model the release of energy behind a curved detonation wave, using the slow tail of the reactive flow model. Reactive flow simulations of the structure of the detonation zone were used to calculate the state at the sonic surface. Reactive flow models were also used to predict the speed of the detonation wave as a function of its curvature, which was compared with experimental data.