Abstract
A Fluid-Structure Interaction model is studied for aortic flow, based on Koiter’s shell model for the structure, Navier–Stokes equations for the fluid and transpiration for the coupling. It accounts for wall deformation while yet working on a fixed geometry. The model is established first. Then a numerical approximation is proposed and some tests are given. The model is also used for optimal design of a stent and possible recovery of the arterial wall elastic coefficients by inverse methods.
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Acknowledgments
Special thanks to Frédéric Hecht for his help with freefem++ and Marc Thiriet and Sunčica Čanić for helpful discussions.
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Pironneau, O. (2016). Computational Issues for Optimal Shape Design in Hemodynamics. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds) Mathematical Modeling and Optimization of Complex Structures. Computational Methods in Applied Sciences, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-23564-6_1
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DOI: https://doi.org/10.1007/978-3-319-23564-6_1
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