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arXiv · 1903.00132

Numerical Stability of Detonations in White Dwarf Simulations

Max P. Katz·Michael Zingale
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Abstract

Some simulations of Type Ia supernovae feature self-consistent thermonuclear detonations. However, these detonations are not meaningful if the simulations are not resolved, so it is important to establish the requirements for achieving a numerically converged detonation. In this study we examine a test detonation problem inspired by collisions of white dwarfs. This test problem demonstrates that achieving a converged thermonuclear ignition requires spatial resolution much finer than 1 km in the burning region. Current computational resource constraints place this stringent resolution requirement out of reach for multi-dimensional supernova simulations. Consequently, contemporary simulations that self-consistently demonstrate detonations are possibly not converged and should be treated with caution.

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Max P. Katz, Michael Zingale. 2019-03-04. Numerical Stability of Detonations in White Dwarf Simulations. https://doi.org/10.3847/1538-4357%2Fab0c00

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