Regular sloshing modes in irregular cavities using metabathymetry

Fuente: arXiv
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Auteurs principaux: Anglart, Adam, Maurel, Agnès, Petitjeans, Philippe, Pagneux, Vincent
Format: Preprint
Publié: 2024
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author Anglart, Adam
Maurel, Agnès
Petitjeans, Philippe
Pagneux, Vincent
author_facet Anglart, Adam
Maurel, Agnès
Petitjeans, Philippe
Pagneux, Vincent
contents We present a comprehensive investigation, combining numerical simulations and experimental measurements, into the manipulation of water waves and resonance characteristics within closed cavities utilizing anisotropic metamaterials. We engineer the anisotropic media with subwavelength-scale layered bathymetry through the application of coordinate transformation theory and the homogenization technique to a fully three-dimensional linear water wave problem. Experimental and numerical analyses of deformed cavities employing anisotropic metamaterial bathymetry demonstrate regular sloshing mode patterns and eigenfrequencies akin to those observed in rectangular reference cavities with flat bathymetry. Our study underscores the potential of water wave metamaterials in establishing robust anisotropic metabathymetry for the precise control of sloshing modes.
format Preprint
id arxiv_https___arxiv_org_abs_2406_04748
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Regular sloshing modes in irregular cavities using metabathymetry
Anglart, Adam
Maurel, Agnès
Petitjeans, Philippe
Pagneux, Vincent
Fluid Dynamics
Classical Physics
We present a comprehensive investigation, combining numerical simulations and experimental measurements, into the manipulation of water waves and resonance characteristics within closed cavities utilizing anisotropic metamaterials. We engineer the anisotropic media with subwavelength-scale layered bathymetry through the application of coordinate transformation theory and the homogenization technique to a fully three-dimensional linear water wave problem. Experimental and numerical analyses of deformed cavities employing anisotropic metamaterial bathymetry demonstrate regular sloshing mode patterns and eigenfrequencies akin to those observed in rectangular reference cavities with flat bathymetry. Our study underscores the potential of water wave metamaterials in establishing robust anisotropic metabathymetry for the precise control of sloshing modes.
title Regular sloshing modes in irregular cavities using metabathymetry
topic Fluid Dynamics
Classical Physics
url https://arxiv.org/abs/2406.04748