Turbulent Combustion Driven by Rayleigh-Taylor Instability in Thermonuclear Supernovae

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Scientific paper

Three-dimensional numerical simulations of a thermonuclear supernova explosion show the evolution of the deflagration stage and the need for the transition to a detonation. The numerical model solves the reactive Euler equations coupled with an equation of state for a degenerate matter, a simplified energy-release model, a front-tracking algorithm, and a subgrid model that defines the turbulent flame speed. Fast nuclear fusion reactions start the explosion near the center of a white dwarf (WD). The reactive front is a thin thermonuclear flame propagating outward subsonically. The flame becomes unstable due to buoyancy effects and develops multiple plumes characteristic of the Rayleigh-Taylor instability. Shear layers along the plumes are Kelvin-Helmholtz unstable and generate vortices that further distort the flame surface and create small-scale turbulent motions. While the buoyant plumes grow, unburnt material between the plumes either sinks towards the center or expands more slowly than the burnt material inside the plumes. The predicted presence of unburnt carbon and oxygen near the WD center disagrees with observations showing unburnt material in outer layers only. This can be resolved if the deflagration triggers a detonation.

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