Nodal analysis of nonlinear behavior of the instability at a fluid interface.
Identifieur interne : 000097 ( PubMed/Corpus ); précédent : 000096; suivant : 000098Nodal analysis of nonlinear behavior of the instability at a fluid interface.
Auteurs : M-C Renoult ; C. Rosenblatt ; P. CarlesSource :
- Physical review letters [ 1079-7114 ] ; 2015.
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.
DOI: 10.1103/PhysRevLett.114.114503
PubMed: 25839277
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pubmed:25839277Le document en format XML
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<front><div type="abstract" xml:lang="en">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.</div>
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<Abstract><AbstractText>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.</AbstractText>
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