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Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. (English) Zbl 1180.92023

Summary: The stabilized space-time fluid-structure interaction (SSTFSI) technique developed by the team for advanced flow simulation and modeling is applied to the computation of arterial fluid-structure interactions (FSI) with patient-specific data. The SSTFSI technique is based on the deforming-spatial-domain/stabilized space-time formulation and is supplemented with a number of special techniques developed for arterial FSI. These include a recipe for pre-FSI computations that improve the convergence of the FSI computations, using an estimated zero-pressure arterial geometry, layers of refined fluid mechanics mesh near the arterial walls, and a special mapping technique for specifying the velocity profile at an inflow boundary with non-circular shape. In the test computations we focus on a patient-specific middle cerebral artery segment with aneurysm, where the arterial geometry is based on computed tomography images.

MSC:

92C35 Physiological flow
92C50 Medical applications (general)
65C20 Probabilistic models, generic numerical methods in probability and statistics
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