## Team for Advanced Flow Simulation and Modeling |

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## Wall Shear Stress Calculations for a Middle Cerebral Artery Bifurcation with AneurysmThe Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was introduced in [1-3] for flow problems with moving boundaries and interfaces and has been applied to a large class of problems, including fluid-structure interactions (FSI). In this joint work with Ryo Torii and Marie Oshima (University of Tokyo), the version of the DSD/SST formulation introduced in [4] is applied to computation of the FSI and wall shear stress for a middle cerebral artery bifurcation with aneurysm. This joint work is described fully in [5]. The computations were carried out by Ryo Torii, using a computer program he wrote with guidance and help from the T*AFSM. The computer model was extracted from the computed tomography (CT) model of the middle cerebral artery bifurcation of a 59 year-old female patient. In the FSI computation, the arterial walls are assumed to be made of a linearly elastic material, but the geometric nonlinearities are accounted for. A computation was carried out also with a model where the arterial walls are assumed to be rigid, so that we can see the importance of taking into account the FSI between the blood flow and the arterial walls. The computations show that taking such FSI into account makes a significant difference in the predicted values of the wall shear stress.
## References
1. T.E. Tezduyar, "Stabilized Finite Element Formulations for Incompressible Flow Computations", |