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Quantitative theory for spikes and bubbles in the Richtmyer-Meshkov instability at arbitrary density ratios
Phys. Rev. Fluids 7, 093904 – Published 27 September, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.093904
Abstract
To predict the growth rates of spikes and those of bubbles at a Richtmyer-Meshkov unstable interface between two fluids of arbitrary density ratios and over the entire nonlinear evolution stage is very important. So far most theories are applicable to bubbles only. There are no accurate theories available in the literature for spikes in systems with finite density ratios. In this paper, we present a theory that is applicable to both spikes and bubbles. Our theoretical predictions are in good agreement with numerical data for both spikes and bubbles over a wide range of density ratios and with various initial conditions. The theoretical predictions also agree well with experimental results.
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