A Shallow Water Spectral Wave Model
نویسنده
چکیده
A shallow water spectral wave prediction model based on a numerical solution of the radiative transfer equation is presented. The model is second generation and uses a simple yet effective representation for the nonlinear source term. In addition, the model pays particular attention to the shallow water processes of refraction, shoaling, bottom friction, and wave breaking. The flexibility of the model is demonstrated by an intercomparison with field data from a number of tropical cyclones. The turning winds from such storms provide a demanding test of model physics. The comparisons are in both deep and shallow water.
منابع مشابه
HF Radar Sea-echo from Shallow Water
HF radar systems are widely and routinely used for the measurement of ocean surface currents and waves. Analysis methods presently in use are based on the assumption of infinite water depth, and may therefore be inadequate close to shore where the radar echo is strongest. In this paper, we treat the situation when the radar echo is returned from ocean waves that interact with the ocean floor. S...
متن کاملA Spectral Shallow-water Wave Model with Nonlinear Energy- and Phase-evolution
Numerical wave modeling in oceanic and coastal waters is usually based on a phase-averaged approach (spectral models), whereas close to shore, in the surf zone and in harbors, it is usually based on a phase-resolving approach (time domain models). Both approaches can be formulated in terms of the energy and phase spectrum of the waves. In the present project we are developing a model in which b...
متن کاملSpectral stability of traveling water waves: Eigenvalue collision, singularities, and direct numerical simulation
In a recent paper (Nicholls (2009) [1]) the author conjectured upon the connection between the onset of dynamic spectral instability of periodic traveling water waves, and singularities present in Taylor series representations of spectral data for the linearized water wave equations. More specifically, he proposed that the onset of instability is always coincidentwith encountering the smallest ...
متن کاملDiscontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems
Two-dimensional shallow water systems are frequently used in engineering practice to model environmental flows. The benefit of these systems are that, by integration over the water depth, a two-dimensional system is obtained which approximates the full three-dimensional problem. Nevertheless, for most applications the need to propagate waves over many wavelengths means that the numerical soluti...
متن کاملDerivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation
A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equations, we reduce the problem to a system of two equations on the surface elevation and the velocity potential at the free surface. These equations involve a Dirichlet-Neumann operator and we show that all the asymptotic...
متن کامل