Scaling Relations and Non-Steady Propagation of Thermonuclear Flames in Type Ia Supernovae

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Scientific paper

The scaling for turbulent flame speeds in white dwarf environments determined by Khokhlov (1995) is the basis for the subgrid flame speed model currently used in FLASH simulations of Type Ia supernovae. This scaling law, or some other steady-state approximation, is used by other SNe simulation groups as well. We have extended the numerical experiments of Khokhlov (1995) to cover a range of possible densities and effective gravitational accelerations. We have also performed these numerical experiments with and without adaptive mesh refinement and for a set of effective resolutions, including much higher resolutions than presented in the earlier work. This library of simulations is being used to formulate the basis for a new set of subgrid flame models, wherein the response of the flame to turbulent pulsations is no longer assumed to be steady-state.

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