## Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics

- Claudia Maria Colciago, Simone Deparis, Alfio Quarteroni
- J. Computational Applied Mathematics
- 2014

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@article{Nobile2008AnEF, title={An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions}, author={Fabio Nobile and Christian Vergara}, journal={SIAM J. Scientific Computing}, year={2008}, volume={30}, pages={731-763} }

- Published 2008 in SIAM J. Scientific Computing
DOI:10.1137/060678439

In this work we focus on the modeling and numerical simulation of the fluid-structure interaction mechanism in vascular dynamics. We first propose a simple membrane model to describe the deformation of the arterial wall, which is derived from the Koiter shell equations and is applicable to an arbitrary geometry. Secondly, we consider a reformulation of the fluid-structure problem, in which the newly derived membrane model, thanks to its simplicity, is embedded into the fluid equations and will… CONTINUE READING

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