A plane vertical submerged barrier in surface water waves

The interaction of surface water waves with submerged breakwaters

Article history: Received 19 October 2007 Received in revised form 19 February 2008 Accepted 20 February 2008 Available online 18 April 2008 This paper concerns the behaviour of nonlinear regular waves interacting with rectangular submerged breakwaters. A new series of experimental results is presented and compared with numerical calculations based upon a Boundary Element Method (BEM) that util...

Radiation of water waves by a heaving submerged horizontal disc

A thin rigid plate is submerged beneath the free surface of deep water. The plate performs small-amplitude oscillations. The problem of calculating the radiated waves can be reduced to solving a hypersingular boundary integral equation. In the special case of a horizontal circular plate, this equation can be reduced further to onedimensional Fredholm integral equations of the second kind. If th...

Tunnelling of plane waves through a square barrier

The time evolution of plane waves in the presence of a 1-dimensional square quantum barrier is considered. Comparison is made between the cases of an infinite and a cut-off (shutter) initial plane wave. The difference is relevant when the results are applied to the analysis of the tunnelling regime. This work is focused on the analytical calculation of the time-evolved solution and highlights t...

On Nonlinear Water Waves in a Channel

Reflection, by a Two-dimensional Ocean Surface, of Plane Sound Waves Coming from the Water Side

Problems involving the reflection of radiation by random rough surfaces arise in a number applications. We shall be interested primarily in an acoustic plane wave impinging on the surface from the water side. The acoustic pressure changes vanish at the surface. We use an expansion in polynomials of Guassian functionals. The method can be extended to more general situations involving more than o...