2012
DOI: 10.1063/1.4736933
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Cylindrical effects on Richtmyer-Meshkov instability for arbitrary Atwood numbers in weakly nonlinear regime

Abstract: When an incident shock collides with a corrugated interface separating two fluids of different densities, the interface is prone to Richtmyer-Meshkov instability (RMI). Based on the formal perturbation expansion method as well as the potential flow theory, we present a simple method to investigate the cylindrical effects in weakly nonlinear RMI with the transmitted and reflected cylindrical shocks by considering the nonlinear corrections up to fourth order. The cylindrical results associated with the material … Show more

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Cited by 15 publications
(2 citation statements)
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References 34 publications
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“…A large number of the studies on RMI have been performed, such as some experiments [19] and numerical simulations [20][21][22] on the growth rate, and other theories [23][24][25][26][27][28][29][30][31][32] using different explicit methods. Most of these express great concern over the earlier growth rate of the interface, and with the asymptotic behavior of the RMI interface fingers: bubbles and spikes which are, respectively, formed by the light fluid entering into the heavy one, and by the heavy fluid traveling in the light fluid.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…A large number of the studies on RMI have been performed, such as some experiments [19] and numerical simulations [20][21][22] on the growth rate, and other theories [23][24][25][26][27][28][29][30][31][32] using different explicit methods. Most of these express great concern over the earlier growth rate of the interface, and with the asymptotic behavior of the RMI interface fingers: bubbles and spikes which are, respectively, formed by the light fluid entering into the heavy one, and by the heavy fluid traveling in the light fluid.…”
Section: Introductionmentioning
confidence: 99%
“…l with r h (r l ) being the density of the heavy (light) fluid, and t is time. As for detailed discussions of the first three harmonics, see [31].…”
Section: Introductionmentioning
confidence: 99%