Deep Water Ship-Waves

Numerical Calculations of Ship Induced Waves

Nowadays, various numerical methods are developed to extend computational fluid dynamics in engineering applications. One of the most useful methods in free surface modeling is Boundary Element Method (BEM). BEM is used to model inviscid fluid flow such as flow around ships. BEM solutions employ surface mesh at all of the boundaries. In order to model the linear free surface, BEM can be modifie...

Modulated periodic stokes waves in deep water

Modulated deep-water 1D Stokes waves are considered experimentally and theoretically. Wave trains are modulated in a controlled fashion and their evolution is recorded. Data from repeated laboratory experiments are reproducible near the wave maker, but diverge away from the wave maker. Numerical integration of a perturbed nonlinear Schrodinger equation and an associated linear spectral problem ...

low-vorticity waves in deep water

Transverse instabilities of deep-water solitary waves

The dynamics of a one-dimensional slowly modulated, nearly monochromatic localized wave train in deep water is described by a one-dimensional soliton solution of a twodimensional nonlinear Schrödinger (NLS) equation. In this paper, the instability of such a wave train with respect to transverse perturbations is examined numerically in the context of the NLS equation, using Hill’s method. A vari...

Models for Internal Waves in Deep Water

We study properties of solitary wave solutions of three evolution equations arising in the modeling of internal waves Our experiments indicate that broad classes of initial data resolve into solitary waves but also suggest that solitary waves do not interact exactly thus suggesting two of these equa tions are not integrable In the course of our numerical simulations interesting meta stable quas...