  Aims: We present the first full-star three-dimensional explosion simulations
of thermonuclear supernovae including parameterized deflagration-to-detonation
transitions that occur once the flame enters the distributed burning regime.
Methods: Treating the propagation of both the deflagration and the detonation
waves in a common front-tracking approach, the detonation is prevented from
crossing ash regions. Results: Our criterion triggers the detonation wave at
the outer edge of the deflagration flame and consequently it has to sweep
around the complex structure and to compete with expansion. Despite the impeded
detonation propagation, the obtained explosions show reasonable agreement with
global quantities of observed type Ia supernovae. By igniting the flame in
different numbers of kernels around the center of the exploding white dwarf, we
set up three different models shifting the emphasis from the deflagration phase
to the detonation phase. The resulting explosion energies and iron group
element productions cover a large part of the diversity of type Ia supernovae.
Conclusions: Flame-driven deflagration-to-detonation transitions, if
hypothetical, remain a possibility deserving further investigation.
