PREDICTION OF RANDOM WAVE TRANSFORMATION OVER ARBITRARY VARYING TOPOGRAPHY BY HYBRID WAVE THEORY

Internal wave attractors over random, small-amplitude topography

We consider whether small-amplitude topography in a two-dimensional ocean may contain internal wave attractors. These are closed orbits formed by the characteristics (or wave beam paths) of the linear, inviscid, steady-state Boussinesq equations, and their existence may imply enhanced scattering and energy decay for the internal tide when dissipation is present. We develop a numerical code to d...

Long Wave Expansions for Water Waves over Random Topography

In this paper, we study the motion of the free surface of a body of fluid over a variable bottom, in a long wave asymptotic regime. We assume that the bottom of the fluid region can be described by a stationary random process β(x, ω) whose variations take place on short length scales and which are decorrelated on the length scale of the long waves. This is a question of homogenization theory in...

Topographic height dependence of internal wave generation by tidal flow over random topography

Internal waves (IWs) generated by tidal flow over the seafloor play a critical role in ocean circulation and climate. We determine the dependence of the radiated IW power on topographic parameters in numerical simulations of tidal flow over two-dimensional random topographic profiles that have the spectrum of oceanic abyssal hills. The IW power increases as the horizontal spatial resolution sca...

Wave Scattering by Small Bodies of Arbitrary Shapes. Wave Scattering by Small Bodies of Arbitrary Shapes * †

2D NUMERICAL MODELING OF WAVE TRANSFORMATION ON SOFT MUDDY BEDS

The present paper offers a numerical model which can be applied for the simulation of wave height distribution on a 2-D horizontal soft mud layer. The model is based on mild slope equations and it includes combined wave refraction, diffraction, reflection and breaking. The high energy dissipation of wave height due to the presence of fluid mud layer has also been simulated. Wave height attenuat...