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Nodal Analysis of Nonlinear Behavior of the Instability at a Fluid Interface

Abstract : In interface instabilities, deformations first grow exponentially, then enter a nonlinear regime affecting amplitude and symmetry. Most extant studies have focused on amplitude alone. Here, we study a 2D Rayleigh-Taylor instability for an initial sinusoidal deformation, analyzing its amplitude and asymmetry over time. For the latter, we define a metric based on the zero crossings of the interface. We develop a weakly nonlinear model and compare it to experimental data. It shows that our asymmetry metric complements the amplitude for an improved description of the instabilities’ nonlinear phases.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-01780195
Contributor : Marie-Charlotte Renoult <>
Submitted on : Friday, April 27, 2018 - 11:45:49 AM
Last modification on : Wednesday, September 16, 2020 - 5:27:55 PM

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Marie-Charlotte Renoult, C. Rosenblatt, P. Carles. Nodal Analysis of Nonlinear Behavior of the Instability at a Fluid Interface. Physical Review Letters, American Physical Society, 2015, 114 (11), ⟨10.1103/PhysRevLett.114.114503⟩. ⟨hal-01780195⟩

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