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Microscopic turbulence-flame interactions of thermonuclear fusion flamesoccuring in Type Ia Supernovae were studied by means of incompressible directnumerical simulations with a highly simplified flame description. The flame istreated as a single diffusive scalar field with a nonlinear source term. It ischaracterized by its Prandtl number, Pr << 1, and laminar flame speed, S_L. Wefind that if S_L ~ u', where u' is the rms amplitude of turbulent velocityfluctuations, the local flame propagation speed does not significantly deviatefrom S_L even in the presence of velocity fluctuations on scales below thelaminar flame thickness. This result is interpreted in the context ofsubgrid-scale modeling of supernova explosions and the mechanism fordeflagration-detonation-transitions.Comment: 8 pages, 6 figures, accepted by Astrophys.

Small‐Scale Interaction of Turbulence with Thermonuclear Flames in Type Ia Supernovae