This paper is concerned with the two-dimensional problem of nonlinear gravity waves
travelling at the interface between a thin ice sheet and an ideal fluid of infinite depth. The ice …

The accuracy and efficiency of two methods of resolving the exact potential flow problem for
nonlinear waves are compared using three different one horizontal dimension (1DH) test …

With the objective of modeling coastal wave dynamics taking into account nonlinear and
dispersive effects, a highly accurate nonlinear potential flow model was developed. The …

In the present paper two numerical schemes for propagating waves over a variable
bathymetry in an existing High-Order Spectral (HOS) model are introduced. The first scheme …

In the present study, the occurrence of Bragg resonance has been demonstrated due to
scattering of long gravity waves by an array of submerged trenches in the presence of the …

In this paper, we derive a new formulation of the water waves equations with vorticity that
generalizes the well-known Zakharov-Craig-Sulem formulation used in the irrotational case …

We present an accurate and efficient numerical model for the simulation of fully nonlinear
(non-breaking), three-dimensional surface water waves on infinite or finite depth. As an …

A theoretical and numerical study of two-dimensional nonlinear flexural-gravity waves
propagating at the surface of an ideal fluid of finite depth, covered by a thin ice sheet, is …

In this paper, we consider the development of central discontinuous Galerkin methods for
solving the nonlinear shallow water equations over variable bottom topography in one and …

Direct phase-resolved simulations are performed to investigate the propagation and
scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the …