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U. Callies et al.: Surface drifters in the inner German Bight
Ocean Sci., 13, 799-827, 2017
www.ocean-sci.net/13/799/2017/
(BSHcmod; Fig. Al), (b) Eulerian currents plus windage
(BSHcmod + W; Fig. A2) or (c) Eulerian currents plus
Stokes drift (BSHcmod+S; Fig. A3). Numerical data dis
played in the graphs are provided in the Supplement. It ap
pears that combining BSHcmod currents for a 5 m depth sur
face layer with either windage or Stokes drift brings corre
sponding simulations closer to both observations (Fig. 4) and
simulations based on Eulerian surface currents from TRIM
with 1 m vertical resolution (Fig. A4). A key effect of the in
clusion of extra wind or wave effects is the intensification of
westward transports in agreement with wind directions that
occur most frequently. One should remember that achiev
ing reasonable agreement between overall strengths of these
transports in simulations and observations was the criterion
which led to the specific values we assigned to a or fi in
Eq. (1) (see Sect. 2.2.3).
Analysing short-term drifter displacements on a daily ba
sis enables a more detailed assessment of model perfor
mance. Simulations of 25 h drift paths were initialized ev
ery day on days 0-53 at 13:00UTC. Full sets of correspond
ing plots are provided in the Supplement. The first collection
(SMI in the Supplement) shows 25 h drifter displacements
that were observed. The second (SM2 in the Supplement)
compares corresponding simulations based on either BSHc
mod or TRIM Eulerian currents with these observations. The
third (SM3 in the Supplement) is similar except that BSHc
mod currents are complemented by parametrized windage
(BSHcmod + W). Finally, the fourth collection (SM4 in
the Supplement) compares BSHcmod simulations includ
ing either windage (BSHcmod + W) or Stokes drift (BSHc
mod + S).
Drawing on the material from SM3, Figs. 7-9 present re
sults for 12 selected days, comparing simulations based on
TRIM surface currents with those based on BSHcmod + W.
Each panel combines all drifters that are available at the re
spective time. Observed drifter displacements are coloured in
agreement with Table S1.
Concentrating on the four drifters that travelled longest,
bars in Fig. 10a show daily values of separation between ob
served and simulated end points of 25 h drift paths, referring
again to simulations with either TRIM or BSHcmod + W. To
show the relative importance of drift errors, total distances
covered according to observations or simulations are also in
cluded. Figure lOd shows the angles between observed and
simulated drifter displacements. Time series (25 h means) of
wind speeds used in TRIM and BSHcmod (and also BSHc
mod + W) are shown in Fig. 10b together with surface Stokes
drifts from wave model WAM. Figure 10c copies observed
Heligoland wind vectors from Fig. 3.
The following description highlights some key aspects of
drifter observations and concurrent simulations during differ
ent sub-periods of the experiment.
Days 0-6 (27 May-2 June): This is a period characterized
by cyclonic residual currents increasing in strength
(Fig. 3). Driven by winds mainly from south-west,
drifters move fast towards a north-eastern sector. Sim
ulated drift distances agree well with observations. Ap
preciable errors for TRIM arise from moderate direc
tional deviations in combination with large displace
ments (Fig. If).
On day 2, neither model simulates the neighbouring
drifter nos. 5 and 6 to move into different directions
(SM3). On day 3 (Fig. 7a and e), only BSHcmod + W
captures the deviant direction of drifter no. 7. Compar
ing simulations based on BSHcmod + W (Fig. 7a) with
those based on BSHcmod (SM2) reveals that the deviant
simulation of drifter no. 7 arises from spatial variation
of BSHcmod currents. By contrast, inclusion of more
large-scale windage affects all drifters tracked in a very
similar way. On day 6 (Fig. 7b and f), the again deviant
movement of drifter no. 7 (now rotated to the opposite
direction) is no longer reproduced by BSHcmod + W.
For drifter no. 1, simulations are generally poor. On
days 3-5, the drifter already enters the complex coastal
bathymetry which is insufficiently resolved in both
models (e.g. Fig. 7a and e).
Days 7-10 (3-6 June): The strong cyclonic regime de
clines, strong south-west winds first cease and then
blow from different directions (Fig. 3). Observed dis
placements of drifter nos. 5, 6 and 8 take a minimum
on days 7 or 8 (Figs. 6 and 10a). On day 7, major di
rectional errors occur under variable wind conditions
(Figs. 7c, g and lOd). Only drifter no. 9 rotates its move
ment from north-east to north-west already on day 7; all
other drifters follow on day 8 (Fig. 7d and h). Speed
of drifter no. 9 shows a strong peak on day 8 (Fig. 6).
Observed drifter displacements seem to decrease with
distance from the coast, a variation not resolved in sim
ulations (Fig. 7d and h). Also considering Stokes drift
does not help reproduce this spatial gradient (SM4).
Sub-mesoscale differences in drift speed (e.g. day 8;
Fig. 7d) and direction (e.g. day 10; Fig. 8a) giving rise
to the fast convergence of drifter nos. 6 and 8 (Fig. 5)
remain unresolved in both models. Neither model cap
tures the special behaviour of drifter no. 7 which contin
ues its fast movement towards northern directions (com
pare Figs. A2d and A4d with Fig. 4d).
Days 11-14 (7-10 June): Winds from the north-west or
north trigger an anticyclonic circulation (Fig. 3). On
day 11, the inclusion of windage greatly reduces er
rors of BSHcmod simulations for drifter nos. 6, 8 and
9 (compare Fig. 8b with SM2), mainly due to improved
drift directions. Only for drifter no. 5, moving much
slower despite its proximity to other drifters, adding
windage leads to drift velocity on day 11 being greatly
overestimated (Fig. 6).