Abstract
This paper presents the modeling of Boussinesq type model that focuses on predictions of dissipation of nonbreaking waves propagating on a permeable submerged mound. The model applies the same concept as formerly presented Boussinesq type model that combines both water and porous layers into one layer and solves depthaveraged current velocity by adjusting the“effective depth”of the combined layer as functions of a height and a porosity of the porous media. This feature enables the model to easily predict wave run-up on a porous media. The present model also solves the other set of non-linear shallow water wave equations to separately solve the current velocity within the porous media. This porous flow velocity is used to evaluate the wave dissipation rate due to the porous media because the depth-averaged velocity may be larger than the one in the porous media and therefore yield too large wave dissipation rate. The model predictions are compared and show excellent agreement with newly performed experimental data, in which periodic long-waves propagate on a permeable submerged mound.
