# TEST HEAD CASE

This test case checks the ability of a model to represent 1) simplified alongshore transport, 2) implementation of open boundary conditions, and 3) resuspension, transport, and deposition of suspended-sediment. This case is based on Signell and Geyer (1991).

## Contents

## Domain

The model domain is open at the east and west ends, has a straight wall at the north end, and a parabolic headland along the south wall.

Model Parameter Variable Value Length (east-west) l 100000 m Width (north-south) w 50000 m Depth h 20 m

## Bottom Sediment

Single grain size on bottom:

Model Parameter Variable Value Size D _{50}0.1 mm Density ρ _{s}2650 kg/m ^{3}Settling Velocity w _{s}0.50 mm/s Critical shear stress τ _{c}0.05 N/m ^{2}Bed thickness bed_thick 0.005 m Erosion Rate E _{0}5e-5 kg/m ^{2}/s

## Forcing

Coriolis

No heating/cooling

No wind

## Initial Conditions

Bathymetry:

- Depths increase linearly (slope = 0.0067) from a minimum depth of 2 m at all alongshore points from the southern land boundary offshore to a maximum depth of 20 m at a point 3 km offshore. Offshore of 3 km there is a constant depth of 20 m.

## Boundary Conditions

North, south = walls with no fluxes, no friction

South wall = parabolic headland shape

Bottom roughness

Flow and elevation at western boundary is imposed.

Flow on eastern boundary is open radiation condition, or water level based, or Kelvin wave solution.

Flow and elevation, eastern/western boundaries:

- Reference velocity
- Celerity
- Reference water level
- Wave period hours (43200 seconds)
- Wave length
- Wave number

For each point along the boundary at time :

Water level

Depth-mean flow

Sediment flux calculated by model

Surface = free surface, no fluxes

## Output (ASCII files suitable for plotting)

After 10 days :

Bed thickness

## Physical Constants

Gravitational acceleration

Von Karman's constant

Dynamic viscosity (and minimum diffusivity)

**Note:** If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.

## Results

Simulations were conducted for 3.0 days. Final bed thickness is shown in Figure 1.