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poster - International Conference of Agricultural Engineering

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the experimental results and close to the Eq. 6 with an increase in fetch except the upstream<br />

part <strong>of</strong> tank. This indicates that the prediction model well reproduced the development <strong>of</strong><br />

wind-wave obtained by the hydraulic experiment.<br />

20cm<br />

8cm<br />

Flow<br />

17.6cm<br />

Air phase<br />

160cm<br />

Water phase<br />

(a) The shape <strong>of</strong> interface<br />

(b) The power spectrum<br />

FIGURE 4: The interface shape and the the power spectrum <strong>of</strong> wind wave<br />

Since this numerical model deals with air and water phases, the characteristics <strong>of</strong> vertical<br />

transport <strong>of</strong> vortex through the water surface can be considered. Fig. 5 shows the isosurface<br />

<strong>of</strong> the second invariant <strong>of</strong> velocity gradient tensor Q in the air and liquid phases at the 10<br />

seconds. Q represents the local balance between the shear strain rate and vorticity<br />

magnitude. The region <strong>of</strong> positive implies the the rotation tensor dominates over the rate <strong>of</strong><br />

strain tensor. In addition, the color distributuion at the water surface represents the turbulent<br />

intensity <strong>of</strong> the velocity in the flow direction. This figure illustrates that two-dimensional vortex<br />

structure is formed along the lines with the wind wave which develops in parallel to the span<br />

direction at the air and liquid phases, respectively. This indicates the wind induced flow has a<br />

vortex structure with a strong three-dimensional feature.<br />

z<br />

y<br />

x<br />

(a) Air phase<br />

(b) Water phase<br />

FIGURE 5: The isosurface <strong>of</strong> the second invariant <strong>of</strong> velocity gradient tensor<br />

Finally, we discuss the effect <strong>of</strong> the coverage on the development <strong>of</strong> wind wave and the<br />

characteristics <strong>of</strong> circulation flow. Fig. 6 shows the shape <strong>of</strong> water surface and the velocity<br />

distribution near the coverage in case <strong>of</strong> Type A. The shape <strong>of</strong> water surface indicates that<br />

the development <strong>of</strong> water surface wave is inhibited by the existence <strong>of</strong> the coverage. Then,<br />

the wave height decrease significantly behind the coverage. Moreover, the velocity is large in<br />

the vicinity <strong>of</strong> the water surface in front <strong>of</strong> the coverage, and it seems to be transported<br />

downstream under the board. The velocity around the back edge <strong>of</strong> coverage is very small,<br />

but in the vicinity <strong>of</strong> the water surface it starts to grow again. In this way, two wind-induced<br />

circulations are formed.<br />

y<br />

z<br />

x

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