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Computational engineering for wind-exposed thin-walled structures

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<strong>Computational</strong> <strong>engineering</strong> <strong>for</strong> <strong>wind</strong>-<strong>exposed</strong> <strong>thin</strong>-<strong>walled</strong> <strong>structures</strong> 5<br />

250<br />

CFD<br />

18 nodes,<br />

10 elements<br />

CSD<br />

15 nodes,<br />

8 elements<br />

Fig. 5. Discretization of the interface<br />

displacement upper boundary [mm]<br />

200<br />

150<br />

100<br />

50<br />

0<br />

−50<br />

−100<br />

−150<br />

t 1 = 0:025 s<br />

t 2 = 0:0125 s<br />

t 3 = 0:00625 s<br />

−200<br />

0 0.5 1 1.5 2 2.5 3 3.5<br />

time [s]<br />

Fig. 6. Displacement <strong>for</strong> dierent t<br />

uni<strong>for</strong>m renement was per<strong>for</strong>med in two levels which leads to 13,200<br />

and 105,600 hexaeder elements and 40 or 160 quadrilaterals <strong>for</strong> the interface,<br />

respectively. The coarsest grid <strong>for</strong> the CSD simulation consisting of only 2<br />

elements is also shown in Fig. 7. Uni<strong>for</strong>m renement yields surface meshes of<br />

8 or 32 quadrilateral elements <strong>for</strong> the structure simulation, respectively.<br />

CFD<br />

18 nodes,<br />

10 elements<br />

CSD<br />

6nodes,<br />

2 elements<br />

Fig. 7. Initial interface discretization<br />

displacement upper boundary [mm]<br />

300<br />

250<br />

200<br />

150<br />

100<br />

50<br />

0<br />

−50<br />

−100<br />

−150<br />

CFD10=CSD 2<br />

CFD40=CSD 8<br />

CFD160=CSD 32<br />

−200<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

time [s]<br />

Fig. 8. Displacement <strong>for</strong> dierent interface<br />

discretizations<br />

Fig.8points out the insucient accuracy of the results corresponding to<br />

the initial interface discretizations and the good agreement of the transient<br />

displacements achieved with the rened meshes. In particular the CSD mesh<br />

consisting only of 2 elements <strong>for</strong> the y-direction is too coarse to obtain useful<br />

results.<br />

4.2 Vertical plate under a sudden <strong>wind</strong> gust<br />

The geometry and material properties of the second test case are the same<br />

as be<strong>for</strong>e. Fig. 9 shows a cutting plane through the uid domain which is<br />

open with an inlet (left boundary), an outlet (right boundary), and symmetric<br />

boundary conditions at the top as well as in z-direction. At the beginning<br />

of the coupled simulation the uid suddenly accelerates and adopts

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