Fluid dynamic mathematical aspects of supernova remnants

Abarzhi, Snezhana I.; Hill, Desmond L.; Williams, Kurt C.; Li, Jiahe T.; Remington, Bruce A.; Martinez, David; Arnett, W. David

doi:10.1063/5.0123930

Title: Fluid dynamic mathematical aspects of supernova remnants

Journal Article · 08 March 2023 · Physics of Fluids

DOI: https://doi.org/10.1063/5.0123930 · OSTI ID:2229992

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^[3]

University of Western Australia, Perth, WA (Australia)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
University of Arizona, Tucson, AZ (United States)

Supernovae—explosions of stars—are a central problem in astrophysics since they contain information on the entire process of stellar evolution and nucleosynthesis. Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities, developing during the supernova blast, lead to intense interfacial RT/RM mixing of the star's materials and couple astrophysical to atomic scales. This work analyzes some fluid dynamic mathematical aspects of the titanic task of supernova's blast. We handle mathematical challenges of RT/RM dynamics in supernova relevant conditions by directly linking the conservation laws governing RT/RM dynamics to symmetry-based momentum model, by exactly deriving the model parameters in the scale-dependent and scale-invariant regimes, and by exploring the special self-similar class for RT/RM interfacial mixing with variable accelerations. Here we reveal that RT/RM dynamics is strongly influenced by deterministic (the initial and the flow) conditions in the scale-dependent linear and nonlinear regimes and in the self-similar mixing regime. The theory outcomes are consistent with the observations of supernova remnants, explain the results of the scaled laboratory experiments in high energy density plasmas, and yield the design of future experiments for the accurate quantification of RT/RM dynamics in supernova relevant conditions. We find that from fluid dynamic mathematical perspectives, supernovae can be regarded as an astrophysical initial value problem. Along with the guidance of what explodes at microscopic scales, supernova remnants encapsulate information on the explosion hydrodynamics and the associated deterministic conditions at macroscopic scales. We urge such effects be considered in interpretations of the observational data.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); Australian Research Council

Grant/Contract Number:: AC52-07NA27344; 140444; LE220100132

OSTI ID:: 2229992

Report Number(s):: LLNL-JRNL-853530; 1081223; TRN: US2407515

Journal Information:: Physics of Fluids, Vol. 35, Issue 3; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
laboratory procedures
nucleosynthesis
astrophysics
nebulae
stellar evolution
supernovae
group theory
flow instabilities
hydrodynamics
shock waves

Title: Fluid dynamic mathematical aspects of supernova remnants

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