Abstract The Serre–Green–Naghdi (SGN) equations, also known as the fully-nonlinear
Boussinesq wave equations, accurately describe the behaviour of dispersive shoaling water …

Reduced order models (ROMs) are computational models whose dimension is significantly
lower than those obtained through classical numerical discretizations (eg, finite element …

In this paper we introduce and study a new model for three–dimensional turbulence, the
Leray–α model. This model is inspired by the Lagrangian averaged Navier–Stokes–α model …

In this paper we present analytical studies of three-dimensional viscous and inviscid
simplified Bardina turbulence models with periodic boundary conditions. The global …

In the near future we expect the resolution of many IPCC-class ocean models to enter the
“eddy-permitting” regime. At this resolution models can produce reasonable eddy-like …

In this study, we present a nonintrusive reduced order modeling (ROM) framework for large-
scale quasistationary systems. The framework proposed herein exploits the time series …

A stochastic parameterization of ocean mesoscale eddies is constructed in order to account
for the fluctuations in subgrid transport and to represent upscale turbulent cascades. Eddy …

In this article the advantages and current status of unstructured mesh ocean modelling are
reviewed. Future challenges are discussed along with the potential of resulting methods to …

Inspired by the remarkable performance of the Leray-α (and the Navier–Stokes alpha (NS-
α), also known as the viscous Camassa–Holm) subgrid scale model of turbulence as a …

The role of mesoscale eddies is crucial for the ocean circulation and its energy budget. The
sub-grid scale eddy variability needs to be parametrized in ocean models, even at so-called …