Urban flooding has become an increasingly frequent and fatal natural hazard and numerical
modeling techniques play a vital role in its prediction and management. We review urban …

This review focuses on recent advances in process-based numerical models of the impact of
extreme storms on sandy coasts. Driven by larger-scale models of meteorology and …

There is growing physical and mathematical interest in the hydrodynamics of
dissipationless/dispersive media. Since GB Whitham's seminal publication fifty years ago …

In this paper, a new method to handle wave breaking in fully non-linear Boussinesq-type
models is presented. The strategy developed to treat wave breaking is based on a …

We introduce a new class of two-dimensional fully nonlinear and weakly dispersive Green–
Naghdi equations over varying topography. These new Green–Naghdi systems share the …

We consider the issue of wave breaking closure for Boussinesq type models, and attempt at
providing some more understanding of the sensitivity of some closure approaches to the …

A two-layer long-wave approximation of the homogeneous Euler equations for a free-
surface flow evolving over mild slopes is derived. The upper layer is turbulent and is …

The formation and dynamics of tidal bores in funnel‐shaped estuaries is investigated from
both a global tidal wave scaling analysis and new quantitative field observations. We show …

The reconstruction of water wave elevation from bottom pressure measurements is an
important issue for coastal applications, but corresponds to a difficult mathematical problem …

The runup of long strongly nonlinear waves impinging on a vertical wall can exceed six
times the far-field amplitude of the incoming waves. This outcome stems from a precursory …