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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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4. RESULTS AND DISCUSSION<br />

In order to describe the developing flow patterns within the cerebral aneurysms, an<br />

exemplary presentation of streamlines (t = 0.9 s), seeded at the domain inlet, is shown<br />

for both cases in Figure 3. They resemble in the fact that the flow enters the aneurysm at<br />

its bottom and remains close to the aneurysmal wall until it divides and exits sideward<br />

back to the arterial branches. It is conspicuous that due to the geometric situation a<br />

helical flow pattern develops before the blood leaves the dilatations. This results in nonparabolic<br />

velocity profiles and a twisted flow in the outflow vessels. With respect to the<br />

velocity magnitude only small values compared to the arterial main stream could be<br />

identified in the ROI. Nevertheless, an oscillating motion of the blood was observed in<br />

these certain areas. This oscillation may rub against the endothelial layer and might<br />

increase the risk of rupture.<br />

Regarding the analyses of the time-averaged pressure distribution (see Figure 3-right),<br />

the inlet pressure was set to 120 mmHg. The highest pressure drop can be observed<br />

close to the bifurcation when the blood enters the outflow vessels. While case 1 shows<br />

no increased pressure values at the dome of the aneurysm, in the ROI of case 2 slightly<br />

elevated pressures appear in comparison to the rest of the aneurysm.<br />

Fig. 3: Streamlines at t = 0.9 s (left) and averaged pressure (right) for both cases<br />

For analyses of the wall shear stresses with respect to the physical time, temporal<br />

averaging was carried out and illustrated in figure 4. Highest values mainly occur at the<br />

neck of the aneurysm and distal to the bifurcation, respectively. On the aneurysms wall<br />

itself and especially within the ROI only medial values are diagnosed. Comparing both<br />

cases, the AWSS distribution of the second aneurysm appears significantly smoother due<br />

a wider geometry, where a flow with less vorticity can evolve. The absence of high<br />

shear regions in the ROIs indicates that elevated wall shear stresses are not primary<br />

responsible for aneurysmal rupture.<br />

Fig. 4: Time-averaged wall shear stresses of case 1 (left) and case 2 (right)

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