Scattering of surface waves over an uneven sea-bed

Scattering of surface waves over an uneven sea-bed

This work is concerned with the scattering of a train of progressive waves by a small undulation of the bottom of a laterally unbounded sea, using two-dimensional linear water wave theory. Assuming irrotational motion, a simplified perturbation analysis is employed to obtain the first-order corrections to the velocity potential by using the Green’s integral theorem in a suitable manner, and the...

Composite Scattering of Ship on Sea Surface with Breaking Waves

The composite backscattering of the ship model on sea surface is investigated with the spilling breaking waves and ship bow waves. The spilling breakers are approximately modeled with the wedge-like waves, and the ship bow waves are simulated based on the Kelvin model. With the modified four-path model, each scattering component is evaluated with the high frequency approximation methods for the...

Equations for bi-directional waves over an uneven bottom

This paper is centered at deriving and studying systems modeling bi-directional surface waves over an uneven or a moving bottom. Compared with the huge amount of work on model equations describing one-way propagation of water waves, much less attention has been given to Boussinesq systems describing two-way propagation of water waves, especially to the systems which are externally forced.

Scattering of Surface Waves

In this chapter the theory of scattering of elastic surface waves is described. Since surface waves are guided along the surface of materials, the scattering properties of surface waves are useful for probing the heterogeneity of the material near the surface as well as perturbations of the free surface. This has applications in the detection of surface defects (Steg and Klemens, 1974) and in s...

Fast reduction of potential fields measured over an uneven surface to a plane surface