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Fractal mesh refinement enables mesh refinement regimes to the Gibson scaleand beyond. Conventional multifractal subgrid models have cost considerationswhich also lead to local mesh refinement, but more importantly, the applicationof these models to compressible turbulent deflagration fronts is a topic forfuture research, while subgrid models tuned to this complex physics lack amultifractal search focus, and for cost reasons do not allow the large searchvolumes required to find the sought for rare event to trigger a DDT.  Here we propose methods to resolve fine scales and locate rare possible DDTtrigger events within large volumes while addressing multifractal issues at afeasible computational cost. We are motivated by the goal of confirming orassessing the hypothesis of a delayed detonation in type Ia supernova and toassessing the delay in this event if it is found to occur.

Fractal mesh refinement, rare events and type Ia supenova