Numerical Treatment of Shock-Induced Nuclear Burning in Double Detonation Type Ia Supernovae

Fuente: arXiv
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Autori principali: Brady, Ryan, Zingale, Michael
Natura: Preprint
Pubblicazione: 2025
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author Brady, Ryan
Zingale, Michael
author_facet Brady, Ryan
Zingale, Michael
contents We present a benchmark problem to assess the treatment of shock-induced nuclear burning in the context of double detonation Type Ia supernovae. In a stratified white dwarf model, we implement a shock-detection criterion that suppresses burning in zones characterized by compression and significant pressure gradients, controlled by a tunable parameter, $f_{\rm shock}$. One-dimensional simulations, using the open-source Castro suite, were conducted across three treatments - burning fully enabled, and burning suppressed with $f_{\rm shock} = 2/3$ and $f_{\rm shock} = 1$ - across three spatial resolutions (5.0, 2.5, and 0.3125 km). At the finest resolution, the burning-enabled and $f_{\rm shock} = 1$ models converge, while the $f_{\rm shock} = 2/3$ front continues to show slight offset behavior. Since most simulations are carried out at much lower resolutions, our tests support the idea that burning in shocks should always be disabled in practice. We also observe that the behavior of lower-resolution simulations remains extremely sensitive to the choice of $f_{\rm shock}$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07918
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Numerical Treatment of Shock-Induced Nuclear Burning in Double Detonation Type Ia Supernovae
Brady, Ryan
Zingale, Michael
Solar and Stellar Astrophysics
High Energy Astrophysical Phenomena
We present a benchmark problem to assess the treatment of shock-induced nuclear burning in the context of double detonation Type Ia supernovae. In a stratified white dwarf model, we implement a shock-detection criterion that suppresses burning in zones characterized by compression and significant pressure gradients, controlled by a tunable parameter, $f_{\rm shock}$. One-dimensional simulations, using the open-source Castro suite, were conducted across three treatments - burning fully enabled, and burning suppressed with $f_{\rm shock} = 2/3$ and $f_{\rm shock} = 1$ - across three spatial resolutions (5.0, 2.5, and 0.3125 km). At the finest resolution, the burning-enabled and $f_{\rm shock} = 1$ models converge, while the $f_{\rm shock} = 2/3$ front continues to show slight offset behavior. Since most simulations are carried out at much lower resolutions, our tests support the idea that burning in shocks should always be disabled in practice. We also observe that the behavior of lower-resolution simulations remains extremely sensitive to the choice of $f_{\rm shock}$.
title Numerical Treatment of Shock-Induced Nuclear Burning in Double Detonation Type Ia Supernovae
topic Solar and Stellar Astrophysics
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2505.07918