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D28: Internal seiche mixing study - Hydromod

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Integrated Water Resource Management for Important Deep European Lakes and their Catchment Areas<br />

EUROLAKES<br />

<strong>D28</strong>: <strong>Internal</strong> <strong>seiche</strong> <strong>mixing</strong> <strong>study</strong><br />

FP5_Contract No.: EVK1-CT1999-00004<br />

Version: 1.2<br />

Date: 24.08.2004<br />

File: <strong>D28</strong>.doc<br />

Page 77 of 92<br />

variations of the pair of upper and lower layer depths on one hand and the density difference,<br />

ε, on the other hand. This peculiar variety of two-layer cases covered by one<br />

set of eigenfunctions means a useful advantage, as the same calculations can be exploited<br />

for certain different two-layer approaches.<br />

The current fields of the first and ninth modes are depicted in Figure 50 and Figure 51<br />

for the case in spring and in Figure 53 and Figure 54 for that in late summer. Additionally,<br />

the currents of the eleventh mode are enclosed in Figure 52 and Figure 55 in order<br />

to emphasize the practical use by a peculiar application, which Hollan (1995) carried<br />

out and is outlined below. Except for the reference to the amplitude normalisation the<br />

relative variation of the structures in the current fields can be detected well from the<br />

diagrams. They consist each of a pair, showing the current ellipses in the upper diagram<br />

which indicate the position of the head of the current vector when turning during<br />

one cycle of oscillation. The main axis of the ellipses shows the orientation of the predominant<br />

current during a wave cycle, while the small axis gives the maximum transverse<br />

currents a quarter of the period later than the main currents. In the lower diagram<br />

the information is compiled, which concerns the sense of rotation at a given moment.<br />

Included into this stick representation is the sense of rotation of the current vector. The<br />

illustration of the phase relation and the sense of rotation throughout the lake is secondary<br />

for a rough evaluation, as this information is more important for inspection of<br />

closely adjacent conditions. The assessment of the local intensity of the currents is very<br />

comprehensive in the upper diagram. There is remarkable variation of the intensity and<br />

relative difference between the main and the transverse currents. This is easily perceived<br />

in the different examples and left to the reader for comparison.

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