Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms - Mathematical Methods and Models in Biomedicine - page 160

Fig. 9 Velocity magnitude (cm/s) for stead-state simulations of the geometry with side-branch and
traction-free boundary condition and the clipped geometry with different boundary conditions and
its differences. The maximum difference is calculated on the cross-section, using the maximum
value for the percentage. The values in the figure are the pressure drop with the inflow ( red )and
flow rate ( blue )

Tabl e 2 WSS magnitude differences (dyn/cm 2 ) for the geometry with side-
branch and traction-free boundary condition and the clipped geometry with
different boundary conditions
TF - TF TF - V0 TF - 0D TF - 1D

Max = 23.5 Max = 13.6 Max = 15.0 Max = 15.0

(81%) (46.8%) (51,7%) (51.7%)

Mean = 4.3e 4

The maximum difference is calculated on the whole geometry, using the
maximum value for the percentage

− 4 Mean = 8.2e − 4 Mean = 4.4e − 4 Mean = 4.8e −

was chosen to be imposed at the end of the side-branch for comparison purposes,
here considering the fluid to be fully developed at the branch outflow. From the
velocity results of Fig. 9 it is possible to infer that the two reduced models are
good approximations of the side-branch, since the differences between imposing
these reduced models directly in the clipped configuration and accounting for the
side-branch are very small. The disparity between the pressure drops obtained
using the reduced 1D and 0D models and the side-branch, are related to the
pressure drop across the side-branch. In fact, the pressure drop across the side-
branch is 258 dyn/cm 2 , which is approximately that found for the reduced models.