Interfacial Rayleigh–Taylor mixing is crucial to describing important natural and engineering processes, such as exploding supernovae, laser micromachining, hot spots in inertial confinement fusion, and optical telecommunications. These require the characterization of the time dependence of the driving acceleration. We compare our theoretical formulation based on group theory foundations with interface-capturing numerical simulations for linear and nonlinear two-dimensional Rayleigh–Taylor instabilities in a finite-sized domain with time-varying acceleration over broad ranges of Atwood numbers and acceleration exponents. Detailed corroboration between theory and simulations is provided for this foundational case. Both demonstrate the strong interfacial nature of Rayleigh–Taylor instabilities, which suggests that practical flow fields can be reconstructed from the derived fluid potential using the proposed theory. A robust agreement is also obtained for the early and late-time evolution of the amplitudes of the bubble and spike, which demonstrate that the Rayleigh–Taylor flow can transition to the mixing regime even for a single-mode initial perturbation. Corroboration with experiments of high energy density plasmas motivated by studies of supernovae is also achieved. In addition, a long-standing puzzle in Rayleigh–Taylor dynamics on the interplay between the acceleration, the shear, and the interface morphology in the theory and simulations is resolved by accounting for finite viscosity of the fluids. The characterization of Rayleigh–Taylor instabilities as a highly interfacial phenomenon provides valuable insight into its multiscale nature, which enhances the design and understanding of numerous processes of practical interest.
Chan, Wai Hong Ronald, et al. "Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration." Physics of Fluids, vol. 35, no. 4, Apr. 2023. https://doi.org/10.1063/5.0137462
Chan, Wai Hong Ronald, Jain, Suhas S., Hwang, Hanul, Naveh, Annie, & Abarzhi, Snezhana I. (2023). Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration. Physics of Fluids, 35(4). https://doi.org/10.1063/5.0137462
Chan, Wai Hong Ronald, Jain, Suhas S., Hwang, Hanul, et al., "Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration," Physics of Fluids 35, no. 4 (2023), https://doi.org/10.1063/5.0137462
@article{osti_2565077,
author = {Chan, Wai Hong Ronald and Jain, Suhas S. and Hwang, Hanul and Naveh, Annie and Abarzhi, Snezhana I.},
title = {Theory and simulations of linear and nonlinear two-dimensional Rayleigh–Taylor dynamics with variable acceleration},
annote = {Interfacial Rayleigh–Taylor mixing is crucial to describing important natural and engineering processes, such as exploding supernovae, laser micromachining, hot spots in inertial confinement fusion, and optical telecommunications. These require the characterization of the time dependence of the driving acceleration. We compare our theoretical formulation based on group theory foundations with interface-capturing numerical simulations for linear and nonlinear two-dimensional Rayleigh–Taylor instabilities in a finite-sized domain with time-varying acceleration over broad ranges of Atwood numbers and acceleration exponents. Detailed corroboration between theory and simulations is provided for this foundational case. Both demonstrate the strong interfacial nature of Rayleigh–Taylor instabilities, which suggests that practical flow fields can be reconstructed from the derived fluid potential using the proposed theory. A robust agreement is also obtained for the early and late-time evolution of the amplitudes of the bubble and spike, which demonstrate that the Rayleigh–Taylor flow can transition to the mixing regime even for a single-mode initial perturbation. Corroboration with experiments of high energy density plasmas motivated by studies of supernovae is also achieved. In addition, a long-standing puzzle in Rayleigh–Taylor dynamics on the interplay between the acceleration, the shear, and the interface morphology in the theory and simulations is resolved by accounting for finite viscosity of the fluids. The characterization of Rayleigh–Taylor instabilities as a highly interfacial phenomenon provides valuable insight into its multiscale nature, which enhances the design and understanding of numerous processes of practical interest.},
doi = {10.1063/5.0137462},
url = {https://www.osti.gov/biblio/2565077},
journal = {Physics of Fluids},
issn = {ISSN 1070-6631},
number = {4},
volume = {35},
place = {United States},
publisher = {American Institute of Physics},
year = {2023},
month = {04}}
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 200, Issue 1062, p. 375-390https://doi.org/10.1098/rspa.1950.0023
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1916https://doi.org/10.1098/rsta.2009.0218
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1916https://doi.org/10.1098/rsta.2010.0020
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1916https://doi.org/10.1098/rsta.2010.0021
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003https://doi.org/10.1098/rsta.2012.0173
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003https://doi.org/10.1098/rsta.2012.0183
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003https://doi.org/10.1098/rsta.2012.0288
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 1982https://doi.org/10.1098/rsta.2012.0435
Anisimov, Sergei I.; Drake, R. Paul; Gauthier, Serge
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003https://doi.org/10.1098/rsta.2013.0266