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Three-dimensional Lagrangian Tracer Modelling in Wadden Sea ...

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List of Figures<br />

2.1.1 Scheme of the time stepp<strong>in</strong>g used by the General Estuar<strong>in</strong>e<br />

Transport Model (GETM). . . . . . . . . . . . . . . . . . . 12<br />

2.1.2 Layout of the horizontal and vertical model grid used by the<br />

General Estuar<strong>in</strong>e Transport Model (GETM). . . . . . . . . 13<br />

2.2.1 Scheme of the one-<strong>dimensional</strong> molecular diffusion. . . . . . 14<br />

2.2.2 Differential control volume CV for derivation of the diffusion<br />

equation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />

2.2.3 Differential control volume CV for derivation of the advectiondiffusion<br />

equation with cross flow. . . . . . . . . . . . . . . . 17<br />

2.4.1 Scheme of the <strong>in</strong>terpolation procedure for the particle velocity. 24<br />

3.1.1 Velocity field for the two-<strong>dimensional</strong> advection case. . . . . 39<br />

3.1.2 Particle trajectories computed from the analytical and the<br />

Runge-Kutta algorithm for two different time steps. . . . . . 39<br />

3.2.1 Vertical profiles of the turbulent k<strong>in</strong>etic energy, the energy<br />

dissipation rate, the zonal velocity component, the eddy diffusivity<br />

and eddy viscosity for the Rouse test case. . . . . . 45<br />

3.2.2 Sediment profiles computed by three different models. . . . 46<br />

3.3.1 <strong>Sea</strong> surface elevation, circulation pattern and vertical profiles<br />

of the eddy viscosity and the eddy diffusivity. . . . . . . . . 48<br />

3.3.2 Particle paths due to w<strong>in</strong>d driven lake circulation. . . . . . . 49<br />

4.1.1 The North <strong>Sea</strong> and the German Bight . . . . . . . . . . . . 52<br />

4.1.2 Satellite image of the East Frisian <strong>Wadden</strong> <strong>Sea</strong> between Norderney<br />

and Spiekeroog. . . . . . . . . . . . . . . . . . . . . . . 53<br />

4.1.3 Topographic map of the model doma<strong>in</strong> between the islands<br />

Baltrum and Langeoog. . . . . . . . . . . . . . . . . . . . . 54<br />

4.1.4 Time series of the sea surface data used to force the model<br />

on the open boundaries. . . . . . . . . . . . . . . . . . . . . 55<br />

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