We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of...

Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now considered as prototypes of rogue waves in ocean. We propose a novel technique to study the interaction between waves and ships/structures during ex...

Rogue waves observed in the ocean and elsewhere are often modelled by certain solutions of the nonlinear Schrodinger equation, describing the modulational instability of a plane wave and the subsequent development of multi-phase nonlinear wavetrains. In this paper, we describe how integrability and application of the inverse scattering transform can be used to construct a class of explicit asym...

Rossby waves are an important part of the ocean's response to changes in atmospheric stimuli, and provide a mechanism by which the west of ocean basins learns of changes in the east. In the past decade many papers have discussed their sea surface height signal in the altimetric record, showing that Rossby waves are common in all ocean basins and drawing attention to the discrepancy between obse...

In this paper, we present a real-time method to display ocean surface gravity waves for various computer graphics applications. Starting from a precise surface gravity model in oceanography, we derive its implementation model and our prototype implementation shows more than 50 frames per second on Intel Core2 Duo 2.40GHz PC’s. Our major contributions will be the improvement on the expression po...

-It is shown that damped, stat ionary Rossby waves can occur in the ocean superimposed on a steady west to east flow. A model o f wind-driven ocean circulation in a two dimensional homogeneous ocean is constructed in which Rossby waves occur in the northern port ion of the basin. I N T R O D U C T I O N SINCE the work of SmMMEL (1948) it has been recognized that any dynamic theory of wind-drive...

A finite-amplitude propagating wave induces a drift in fluids. Understanding how drifts produced by many waves disperse pollutants has broad implications for geophysics and engineering. Previously, the effective diffusivity was calculated for a random set of small-amplitude surface and internal waves. Now, this is extended by Bühler & Holmes-Cerfon (J. Fluid Mech., 2009, this issue, vol. 638, p...

The phase information in along-track interferometry (ATI) SAR images is a measure of the Doppler shift of the backscattered signal and thus of the line-of-sight velocity of the scatterers. This interferometric velocity is the sum of the orbital motion of water particles from the swell, phase velocities of the Bragg waves, and ocean surface currents. While the advent of ATI SAR provided us with ...

Oceanic waves have been found to contribute enhanced back-scattering in the direction of the illumination source in studies that assumed the ocean surface to be a random sum of waves. Here we investigate enhanced back-scattering by coherent capillary-gravity wave trains that co-exist near the crests of short gravity waves in the ocean. We find that the enhanced back-scattering effect is intensi...

This paper presents a procedural model for breaking ocean waves that is intended to be used for interactive visualization. The movement as well as the appearance of the waves is modelled by a set of functions in dependence of time and space. This continuous surface description allowes it to calculate all properties of every point (including foam) on the ocean surface at every time without any i...