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Journal Articles Physical Review Letters Year : 2015

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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Dates and versions

hal-01780195 , version 1 (27-04-2018)

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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, 2015, 114 (11), ⟨10.1103/PhysRevLett.114.114503⟩. ⟨hal-01780195⟩
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