TEST HEAD CASE

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Sediment Test Headland 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).

Test case 4.gif


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 D50 0.1 mm
Density ρs 2650 kg/m3
Settling Velocity ws 0.50 mm/s
Critical shear stress τc 0.05 N/m2
Bed thickness bed_thick 0.005 m
Erosion Rate E0 5e-5 kg/m2/s

Forcing

Coriolis f = 1.0 e-4
No heating/cooling
No wind

Initial Conditions

u = 0 m3
Salinity = 0
Temperature = 20oC

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 Z0 = 0.015 m

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 T = 12 hours (43200 seconds)
Wave length L = C * T
Wave number k = (2 * π)/L


For each point y along the boundary at time t:

Water level
Note: x at western boundary is -L/2
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 ? = 0.41
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

Figure 1. Plan view of final bathymetric change.


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