Type of dike using C-shaped vertical cylinders

Dupont, Guillaume; Remy, Fabien; Kimmoun, Olivier; Molin, Bernard; Guenneau, Sébastien; Enoch, Stefan

doi:10.1103/physrevb.96.180302

Cited by 23 publications

(13 citation statements)

References 21 publications

(18 reference statements)

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“…single slits) in a wave flume. In a similar study, Dupont et al (2017) use numerical simulations and laboratory experiments to show that a doubly-periodic array of C-shaped cylinders prohibits low-frequency wave propagation. Graded arrays, also known as chirped arrays, are an active area in metamaterials research at present (and also in photonic/phononic-crystal research).…”

Section: Introductionmentioning

confidence: 99%

Graded resonator arrays for spatial frequency separation and amplification of water waves

2018

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A structure capable of substantially amplifying water waves over a broad range of frequencies at selected locations is proposed. The structure consists of a small number of C-shaped cylinders arranged in a line array, with the cylinder properties graded along the array. Using linear potential-flow theory, it is shown that the energy carried by a plane incident wave is amplified within specified cylinders, for wavelengths comparable to the array length, and for a range of incident directions. Transfer matrix analysis is used to attribute the large amplifications to excitation of Rayleigh-Bloch waves and gradual slowing down of their group velocity along the array. arXiv:1806.05404v1 [physics.flu-dyn]

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Section: Introductionmentioning

confidence: 99%

Graded resonator arrays for spatial frequency separation and amplification of water waves

2018

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“…Whilst the slip model captures the qualitative behaviour, the Boltzmann equation is required for quantitative predictions and thus deserves further attention. Incorporating this new physics into existing codes is relatively simple and could play a role in a wide range of free surface flows where gas microfilms appear such as in the collisions of liquid drops [35]; the formation of tip-singularities in free-surfaces [36]; the stability of nanobubbles on solids [37]; the impact of projectiles on liquid surfaces [38]; and the creation of anti-bubbles from air films [39]. Furthermore, these findings motivative new directions of research, such as (a) understanding how gas molecules interact with moving liquid-gas free surfaces, from experiments or molecular dynamics simula-tions, and (b) developing non-lubrication formulations of the gas flow, such as moment methods approaches [40].…”

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confidence: 99%

Kinetic Effects in Dynamic Wetting

Sprittles

2017

Phys. Rev. Lett.

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The maximum speed at which a liquid can wet a solid is limited by the need to displace gas lubrication films in front of the moving contact line. The characteristic height of these films is often comparable to the mean free path in the gas so that hydrodynamic models do not adequately describe the flow physics. This Letter develops a model which incorporates kinetic effects in the gas, via the Boltzmann equation, and can predict experimentally observed increases in the maximum speed of wetting when (a) the liquid's viscosity is varied, (b) the ambient gas pressure is reduced, or

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“…It also shows that despite the existence of evanescent waves (localized at the interfaces), both robust P T -symmetry and EP take place. This can pave the way to several interesting applications, as flexural-gravity waves in TEPs are gaining increasing interest, e.g., in density sensing, early detection of tsunamis, filtering [56], trapping [57] of ocean waves, and vibration control of mechanical systems.…”

Section: Discussionmentioning

confidence: 99%

Parity-Time Symmetry and Exceptional Points for Flexural-Gravity Waves in Buoyant Thin-Plates

et al. 2020

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We derive and apply a transfer matrix method (M-matrix) coupling liquid surface waves and flexural-gravity waves in buoyant thin elastic plates. We analyze the scattering matrix (S-matrix) formalism for such waves propagating within a Fabry-Perot like system, which are solutions of a sixth order partial differential equation (PDE) supplied with adequate boundary conditions. We develop a parity-time (PT)-symmetry theory and its applications to thin elastic floating plates. The sixth order PDE governing the propagation of these waves leads to six by six M and S matrices, and results in specific physical properties of the PT-symmetric elastic plate systems. We show the effect of geometry and gain/loss on the asymmetric propagation of flexural-gravity waves, as well as a Fano-like line-shape of the reflection signature. Importantly, we show the possibility of obtaining coherent perfect absorber-laser (CPAL) using simple thin structures.

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Type of dike using C-shaped vertical cylinders

Cited by 23 publications

References 21 publications

Graded resonator arrays for spatial frequency separation and amplification of water waves

Graded resonator arrays for spatial frequency separation and amplification of water waves

Kinetic Effects in Dynamic Wetting

Parity-Time Symmetry and Exceptional Points for Flexural-Gravity Waves in Buoyant Thin-Plates

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