The effect of collisions on the multi-fluid plasma Richtmyer–Meshkov instability

Article


Tapinou, K. C., Wheatley, V., Bond, D. and Jahn, I.. 2023. "The effect of collisions on the multi-fluid plasma Richtmyer–Meshkov instability." Physics of Plasmas. 30 (2), pp. 1-25. https://doi.org/10.1063/5.0132461
Article Title

The effect of collisions on the multi-fluid plasma Richtmyer–Meshkov instability

ERA Journal ID1223
Article CategoryArticle
AuthorsTapinou, K. C., Wheatley, V., Bond, D. and Jahn, I.
Journal TitlePhysics of Plasmas
Journal Citation30 (2), pp. 1-25
Article Number022707
Number of Pages25
Year2023
Place of PublicationUnited States
ISSN1070-664X
1089-7674
Digital Object Identifier (DOI)https://doi.org/10.1063/5.0132461
Web Address (URL)https://aip.scitation.org/doi/abs/10.1063/5.0132461
Abstract

The Richtmyer–Meshkov instability (RMI) results from the impulsive acceleration of a density interface where the RMI itself or the acceleration is perturbed. The RMI is ubiquitous in shock environments and may arise due to an interface of fluid species, isotopes, temperature, or more. The plasma RMI can be significantly influenced by electromagnetic effects and can be modeled more accurately by a multi-fluid plasma (MFP) model rather than conventional magnetohydrodynamics, though with increased computational expense. MFP modeling of the plasma RMI has revealed many phenomena but has only been completed within the ideal regime. Modeling the effects of elastic collisions is vital for understanding the behavior of the instability in a dense plasma. The Braginskii transport coefficients provide theoretically based relations modeling thermal equilibration, inter-species drag, viscous momentum- and energy-transfers, and thermal conductivity. Our numerical simulations of the MFP RMI with these relations show that the key changes from the ideal case are (1) reduction of relative motion between the ion and electron fluids (consequently affecting the self-generated electromagnetic fields), (2) introduction of anisotropy in momentum and energy via transport coefficients, and (3) damping of high frequency electromagnetic waves and plasma waves. Under the conditions studied, the net effect is a reduction in the MFP RMI amplitude width and the growth rate to levels approaching the neutral fluid instability, as well as a reduction in large scale perturbations along the ion fluid density interface, a positive for inertial confinement fusion efforts. There are, however, two important caveats: small-scale density interface perturbations remain, and the conditions simulated are a few relevant points in a large parameter space that requires further investigation.

KeywordsShock waves; Viscosity; Thermal conductivity; Elastic collisions; Flow instabilities; Fluid instabilities; Plasmas
ANZSRC Field of Research 20204012. Fluid mechanics and thermal engineering
Byline AffiliationsUniversity of Queensland
University of Southern Queensland
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