Fractal mesh refinement, rare events and type Ia supenova

Abstract

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