models can be found in Kasen et al. (2009), and details on hydrodynamic calculations will be presented elsewhere (F.K. Röpke et al., in prep.). Note that the present models cover extreme cases in the sequence of “classical” delayed detonation models where the DDT takes place before the deflagration wave reaches the WD surface (e.g., Kasen et al. 2009). For the situation in which only a few initial bubbles are distributed within a small solid angle with a large off-set, the “gravitationally confined detonation” model (e.g. Jordan et al. 2008; Meakin et al. 2009) has been suggested as an alternative explosion mechanism. This would be a more extreme case than our O-DDT model.

Nucleosynthesis
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We apply the tracer particle method to the calculations of nucleosynthesis. The essence is to follow thermal histories of Lagrangian particles, which are passively advected in hydrodynamic simulations, and then to employ detailed nuclear reaction network calculations to each particle separately. The method was first applied to core-collapse supernovae (Nagataki et al. 1997; Maeda et al. 2002; Maeda & Nomoto 2003), and has become popular in the field thanks to its simplicity and its applicability to multi-dimensional problems (e.g., Travaglio et al. 2004b). Travaglio et al. 