Hydraulics research, HARES Examples, Maasvlakte (Port of Rotterdam)

Svašek Hydraulics

Coastal, harbour and river engineering consultants


HARES Examples

Maasvlakte (Port of Rotterdam)


The most relevant HARES model output is the so-called ‘wave height multiplication factor’ or K-factor.
This K-factor is the ratio between the wave height in the model area (H) and the wave height at the boundary of the model area (H0). K = H/H0. At the boundary of the model K = 1.0. This K-ratio can be seen as the amplitude of the local wave climate.

The Maasvlakte and the entrance to the Port of Rotterdam (the Nieuwe Waterweg) is protected by the Northern breakwater (see above figures). The wave transmission through this Northern breakwater can not be neglected.

HARES can not directly account for wave transmission through breakwaters, so for a single wave direction the wave penetration is divided into two parts:

  • Normal calculation with an impermeable Northern breakwater
  • Transmission calculation in which the Northern breakwater acts as a wave boundary

With a wave transmission coefficient R, the K factors of both calculations are combined to one, as follows:

For a single harmonic wave with a wave period of 10 seconds and a wave direction of 325 degrees and example of how to account for wave transmission is given in the figure below.
In this case a wave transmission coefficient R of 0.28 has been apllied, which corresponds with a water level of Mean High Water Spring (NAP +1.30m).

One HARES simulation can deal with only one incoming wave direction. To include directional spreading, various HARES simulation runs are carried out with various incoming wave directions.

The different HARES runs (n) can be combined to one as follows (linear wave theory):


For this example the results of 4 wave periods and 8 main wave direction are presented.
(click on the iamge to control the slideshow)