In this paper, we consider a one-dimensional fully nonlinear weakly dispersive Green–
Naghdi model for shallow water waves over variable bottom topographies. Such model …

In this paper, we introduce a discontinuous Finite Element formulation on simplicial
unstructured meshes for the study of free surface flows based on the fully nonlinear and …

In this investigation a new meshless numerical technique is proposed for solving Green–
Naghdi equation by combining the moving Kriging interpolation shape functions with the …

Immersed boundary (IB) method is incorporated in a three-dimensional (3D) non-hydrostatic
model for predicting wave-structure interactions. The model solves the Navier–Stokes …

This paper mainly focus on presenting a newly-developed meshless numerical scheme,
named the generalized finite difference method (GFDM), to efficiently and accurately solve …

The vertical transformed σ-coordinate adopted by a family of non-hydrostatic free surface
water flow models is highly efficient in capturing the free surface and uneven bottom …

This paper presents a depth-integrated, non-hydrostatic model for coastal water waves. The
shock-capturing ability of this model is its most attractive aspect and is essential for …

The hydrostatic pressure assumption has been widely applied in simulating rivers, lakes and
reservoirs, but it has been found inappropriate in various cases where the vertical …

SUMMARY A horizontally curvilinear non‐hydrostatic free surface model that embeds the
second‐order projection method, the so‐called θ scheme, in fractional time stepping is …

In this paper, we further investigate the use of a fully discontinuous Finite Element discrete
formulation for the study of shallow water free surface flows in the fully nonlinear and weakly …