Front propagation in pre-mixed material: approaches to modeling thermonuclear flames

Astronomy and Astrophysics – Astronomy

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Scientific paper

The interaction of thermonuclear fusion flames with turbulent flows is studied by means of incompressible DNS with a simplified flame description. This interaction plays an important role in flame propagation in Type Ia supernovae. The flame is treated as a single diffusive scalar field with a nonlinear source term (the nuclear reaction rate), and is characterized by the Prandtl number (Pr, the ratio of kinematic viscosity to thermal diffusivity and Pr << 1 in our cases), and laminar flame speed, S_L. We simulate the propagation of such a flame through a stirred, turbulent velocity field, and study the increase of flame propagation speed due to turbulent mixing. A previous study (J.C. Niemeyer, W.K. Bushe, and G.R. Guetsch) shows that if S_L >= u(') , where u(') is the rms turbulent velocity fluctuation, the local flame propagation speed does not significantly deviate from S_L even in the presence of velocity fluctuations on scales below the laminar flow thickness. The ratio S_L/u(') in this study is limited to values greater or closer to 1. In the present study, we perform the same simulation for S_L/u(') << 1 and compare results to the previous study.

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