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12 Chapter 2
that they do not affect the computational results there. This is best established by varying
the location of these boundaries and inspect the effect on the results. Sometimes the waves
at these boundaries can
be estimated with a certain degree of reliability. This is the case if
(a) results of another mo del run are available (nested computations) or, (b) observations
are available. If model results are available along the boundaries of the computational
spatial grid, they are usually from a coarser resolution than the computational spatial grid
under consideration. This implies that this coarseness of the boundary propagates into
the computational grid. The problem is therefore essentially the same as if no waves are
assumed along the boundary except that now the error may be more acceptable (or the
boundaries are permitted to be closer to the area of interest). If observations are available,
they can be used as input at the bou ndaries. However, this usually covers only part of the
boundaries so that the rest of the boundaries suffer from the same error as above.
A special case occurs near the coast. Here it is often possible to identify an up-wave
boundary (with proper wave information) and two lateral boundaries (with no or partial
wave information). The affected areas with errors are typically regions with the apex
at the corners of the water boundary with wave information, spreading towards shore at
an angle of 30
o
to 45
o
for wind sea conditions to either side of the imposed mean wave
direction (less for swell conditions; the angle is essentially the one-sided width of the
directional distribution of wave energy). For propagation of short crested waves (wind sea
condtions) an example is given in Figure 2.1. For this reason the lateral boundaries should
be sufficiently far away from the area of interest to avoid the propagation of this error
into this area. Such problems do not occur if the lateral boundaries contain proper wave
information over their entire length e.g. obtained from a previous SWAN computation or
if the lateral boundaries are coast.
When output
is requested along a boundary of the computational grid, it may occur that
this output differs from the boundary conditions that are imposed by the user. The reason
is that SWAN accepts only the user-imposed incoming
wave comp onents and that it re-
places the user-imposed outgoing
wave components with computed out going components
(propagating to the boundary from the interior region). This is only the case for struc-
tured grids (both regular and curvi-linear ones). The user is informed by means of
a warning in the output when the computed significant wave height differs more than 10%,
say (10% is default), from the user-imposed significant wave h eight (command BOUND...).
The actual value of this difference can be set by t he user (see the SET command). Note
that this warning will not apply in the case of unstructured grids.
If the computational grid extends outside the input grid, the reader is referred to Sec-
tion 2.6 to find the assumptions of SWAN on depth, current, water level, wind, bottom
friction in the non-overlapping area.
The spatial resolution of the computational grid should be sufficient to resolve relevant
details of the wave field. Usually a good choice is to take the resolution of the compu-
tational grid approximately equal to that of the bottom or current grid. If necessary, an