Delayed detonation models have also been investigated with multi-dimensional simulations (Gamezo et al. 2005; Plewa 2007; Golombek & Niemeyer 2005; Röpke & Niemeyer 2007c; Bravo & García-Senz 2008). However, compared to the deflagration models as summarized above, the investigation of multi-dimensional delayed detonation models is still at the very initial stage. The radiation transfer based on the multi-dimensional models has been examined by Kasen et al. (2009). Detailed nucleosynthesis studies have rarely been done (but see Bravo & García-Senz 2008). In this paper, we present results from detailed nucleosynthesis calculations, based on two-dimensional delayed detonation models and, for comparison, a pure deflagration model.

The two delayed detonation models presented here can be regarded as extreme cases – not necessarily with respect to their $^{56}$Ni production and brightness, but with respect to symmetries/asymmetries in the explosion phase. While in one model, the deflagration was ignited in an approximately spherical configuration at the center of the WD, the other model features an off-center ignition and propagation of the initial deflagration flame similar to the three-dimensional simulations of Röpke et al. (2007d). It has been suggested that the convection in the simmering phase may be dominated by a dipolar mode, and there is 