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EurOCEAN 2000 - Vlaams Instituut voor de Zee

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ISVA, turbulence un<strong>de</strong>r spilling breakers and broken waves has been investigated by wave<br />

flume experiments.<br />

Topic 1.2c. Influence of breaking waves on sediment transport. The work un<strong>de</strong>rtaken by<br />

DHI/ISVA un<strong>de</strong>r Topic 1.2a (see above), constitutes a key element for this research. The<br />

sediment transport has been inclu<strong>de</strong>d in an advanced Navier-Stokes solver in two-dimensions.<br />

DHI/ISVA will continue the <strong>de</strong>velopment of the free-surface method for breaking and broken<br />

waves. Also, comparison of the sediment transport rates to experimental results, and<br />

sensitivity analysis of for instance the fall velocity, will be ma<strong>de</strong>.<br />

Topic 1.2d. Wave-induced currents. The objective is to <strong>de</strong>velop a 3-D wave-driven current<br />

mo<strong>de</strong>l. A start has been ma<strong>de</strong> in testing the 3D implementation against 2D (laboratory) cases.<br />

Furthermore the present implementation has been combined with a research version which has<br />

on-line sediment transport module inclu<strong>de</strong>d. The wave effects are implemented in a co<strong>de</strong> that<br />

will also be used for morphological mo<strong>de</strong>lling of complex bathymetries. Testing of 3D<br />

implementation against 3D cases will be sought. The first comparisons have shown that<br />

especially the streaming effects are not yet inclu<strong>de</strong>d correctly. Research will focus on this<br />

aspect for the rest of the project period.<br />

Topic 2.1a. Morphological mo<strong>de</strong>lling of the surf zone without structures. Two research<br />

groups have been working on this topic, namely DHI and DH. The work DHI un<strong>de</strong>rtakes<br />

basically <strong>de</strong>als with vertical structure of motion and associated sediment transport plus<br />

morphological mo<strong>de</strong>lling of coastal profiles. A mathematical mo<strong>de</strong>l has been <strong>de</strong>veloped that<br />

<strong>de</strong>scribes the 3D distribution of the mean shear<br />

stress, the time varying eddy viscosity, velocity profiles, suspen<strong>de</strong>d sediment concentrations<br />

and sediment transport. The sediment transport mo<strong>de</strong>l has been exten<strong>de</strong>d to inclu<strong>de</strong> irregular<br />

wave trains. A phase resolving mo<strong>de</strong>l has been <strong>de</strong>veloped to simulate the morphological<br />

evolution of a cross-shore beach profile. The <strong>de</strong>pth averaged-hydrodynamics are calculated<br />

from a wave mo<strong>de</strong>l based on the Boussinesq equations. The Quasi 3D sediment transport<br />

mo<strong>de</strong>l has been incorporated into a phase averaged morphological mo<strong>de</strong>l for cross-shore<br />

profile evolution. The morphological mo<strong>de</strong>l has been used to investigate the morphological<br />

<strong>de</strong>velopment of beach profiles un<strong>de</strong>r the attack of obliquely inci<strong>de</strong>nt waves. Regarding the DH<br />

study un<strong>de</strong>r this topic, the objective is to mo<strong>de</strong>l the erosion/accretion of dry beaches in a<br />

morphodynamic area mo<strong>de</strong>l.The principle i<strong>de</strong>a is to extrapolate sediment transport from the<br />

last wet point to the highest dry point of a grid row or column, where transport is assumed to be<br />

a linear function of the height; in this way, profiles can uniformly shift in horizontal direction.<br />

A 1-D version of this approach has been successfully tested. Subsequently, a 2-D<br />

implementation has been carried out which has been tested successfully on the Keta Lagoon<br />

case.<br />

Project 3. Horizontal structure of wave- and breaker-induced motion and<br />

area mo<strong>de</strong>lling.<br />

Goal of the project: to investigate the hydrodynamics, sediment transport and morphodynamics<br />

in the surf and swash zone, with focus on the 2DH (two dimensions in the horizontal) view<br />

point. Most important results until now are as follows<br />

• for a realistic longshore current, in presence of eddy viscosity, resonant triads, which can<br />

involve unstable and/or stable mo<strong>de</strong>s, can exist and a resonant triad, comprising 3 linearly<br />

stable mo<strong>de</strong>s <strong>de</strong>rived from a linear stability analysis, can exhibit explosive instabilities.<br />

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