In this talk we will report on some novel computational approaches that we developed recently for
challenging problems of fluid-structure interaction (FSI) in biomechanics and show their application
to problems in haemodynamics on different scales. The focus will be on three new methods.
First we will introduce a truly monolithic algebraic multigrid approach for fluid-structure interaction
and show it’s advantageous performance for biomechanical FSI. In order to be able to treat
non-conforming interfaces in an efficient and reliable way we have developed a dual mortar-based
strategy that is applicable to both monolithic and partitioned fluid-structure interaction approaches.
And finally we will show how to treat 3D finite deformation contact in such FSI scenarios. We
will apply a combination of our methods to problems like FSI for Abdominal Aortic Aneurysms,
the simulation of red blood cells (in flow and through capillaries) and clamping of an aorta during
surgery.
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