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Modeling Type Ia Supernovae
Turbulent combustion plays a key role in the explosion mechanism of Type Ia supernovae. The driving force of the turbulence arises from the strong buoyancy of the burned material.
To test the effects of buoyancy and the turbulence it generates on the structure of the flame surface, researchers at the University of Chicago and Argonne National Laboratory (ANL) are conducting fully 3D studies with the hydrodynamics code FLASH. Of particular interest is the determination of the smallest scale of flame surface structure. One promising approach is a box-counting algorithm that divides the simulation domain into a contiguous grid of cubic boxes; those boxes that straddle the flame surface are counted to provide a measure of the surface area.

Results show that the flame surface does not have a fixed value for all scales; moreover, the surface shows significant variation with time. Based on these results, researchers can determine the essential length scales of flame surface structure and can identify specific requirements that models of small-scale structure must meet.