Regular sloshing modes in irregular cavities using metabathymetry

TL;DR

This paper explores how anisotropic metamaterials with layered bathymetry can control water wave sloshing modes in irregular cavities, combining simulations and experiments to demonstrate regular mode patterns and eigenfrequencies.

Contribution

It introduces a novel approach using anisotropic metamaterials engineered via coordinate transformation and homogenization to manipulate water wave resonance in complex cavities.

Findings

Regular sloshing modes achieved in irregular cavities

Eigenfrequencies similar to rectangular cavities

Demonstrated robustness of anisotropic metabathymetry

Abstract

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.