A03. Waves propagating towards a beach
The bathymetry in this set of tests is identical to the previous one (A02); this time SETUP is
activated. The purpose of this test is to verify the correct implementation of the
complete model for various grids (1d, regular, curvilinear, repeated). Plot output includes
force and setup.
There is no case with repeated grid, because setup does not work properly
in combination with a repeated grid.
A domain with flat inclined bottom is considered. The depth decreases from 10 m at y=0 to
depth 1 m at y=4000 m.
At the Southern boundary an incident wave field is assumed which propagates in a direction
30° from S. The peak period is 10 s.
In this series of tests there are no analytical tests to compare with, so the 1d results are
used as a basis for comparison in the graphs.
7 cases are considered:
 A03a
 1d computation
 A03b
 regular 2d grid in standard orientation
 A03c
 regular grid rotated over 10 degr.
 A03d
 curvilinear 'wavy' grid, the grid can be seen in plot A03d.plt
 A03e
 curvilinear 'jagged' grid, the grid can be seen in plot A03e.plt
 A03f
 curvilinear 'jagged' grid, the grid can be seen in plot A03f.plt
 A03g
 spherical coordinates
It is seen that the curvilinear grids do not resolve the wave field well
near the beach. These grids are not well adapted to the shoreline.
They would probably perform better if they would be better adapted.
2 additional cases show the influence of the directional spreading on the wave setup:
 A03p
 1d computation with normal incidence and a large directional spreading
 A03q
 1d computation with normal incidence and a narrow spectrum
It appears that with the narrow spectrum the setup is a little more than 10%
of the incoming significant wave height; with a wide spectrum the setup is
somewhat lower (the difference is roughly 20%)
