  We show that a flame tracking/capturing scheme originally developed for
deflagration fronts can be used to model thermonuclear detonations in
multidimensional explosion simulations of type Ia supernovae. After testing the
accuracy of the front model, we present a set of two-dimensional simulations of
delayed detonations with a physically motivated off-center
deflagration-detonation-transition point. Furthermore, we demonstrate the
ability of the front model to reproduce the full range of possible interactions
of the detonation with clumps of burned material. This feature is crucial for
assessing the viability of the delayed detonation scenario.
