Fully dispersive Boussinesq models with uneven bathymetry

TL;DR

This paper studies three fully dispersive Boussinesq models with uneven bathymetry, deriving and discretizing one, and compares their numerical solutions with laboratory measurements, revealing significant differences in accuracy.

Contribution

The paper introduces and analyzes three weakly nonlinear, fully dispersive Boussinesq models for uneven bathymetry, including derivation, discretization, and comparative validation.

Findings

Models show varying accuracy despite mathematical similarity

Numerical solutions compared with laboratory wave gauge data

Discretization approach applied to one model

Abstract

Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerical solutions of all three are compared with wave gauge measurements from a series of laboratory experiments conducted by Dingemans. The results show that although the models are mathematically similar, their accuracy varies dramatically.