A novel approach for the description of both wave propagation and flow circulation in the nearshore zone has been defined. This is based on an integro-differential system which, at the leading-order, coincides with classical depth-averaged models (e.g. Boussinesq-type models) and, in addition, describes flow deviations from the depth-averaged values. Thanks to this feature, the proposed system enables exact calculation of the linear dispersion relation, of the linear shoaling coefficient and of second-order nonlinear solutions for monochromatic waves. The general approach, which can be exploited to obtain a family of models, has clear computational advantages over those which solve the flow over the vertical and improves the flow description accuracy of typical depth-averaged models.
RITMARE - SP3_WP4_AZ3_UO08_D01 - Beyond Boussinesq-type equations: Semi-Integrated models for coastal dynamics
Matteo Antuono;Claudio Lugni;
2013
Abstract
A novel approach for the description of both wave propagation and flow circulation in the nearshore zone has been defined. This is based on an integro-differential system which, at the leading-order, coincides with classical depth-averaged models (e.g. Boussinesq-type models) and, in addition, describes flow deviations from the depth-averaged values. Thanks to this feature, the proposed system enables exact calculation of the linear dispersion relation, of the linear shoaling coefficient and of second-order nonlinear solutions for monochromatic waves. The general approach, which can be exploited to obtain a family of models, has clear computational advantages over those which solve the flow over the vertical and improves the flow description accuracy of typical depth-averaged models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
