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Published in:
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2016 | OriginalPaper | Chapter

Computational Issues for Optimal Shape Design in Hemodynamics

Author : Olivier Pironneau

Published in: Mathematical Modeling and Optimization of Complex Structures

Publisher: Springer International Publishing

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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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next chapter Functional A Posteriori Error Estimate for a Nonsymmetric Stationary Diffusion Problem
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Metadata
Title
Computational Issues for Optimal Shape Design in Hemodynamics
Author
Olivier Pironneau
Copyright Year
2016
Book
Mathematical Modeling and Optimization of Complex Structures

Print ISBN: 978-3-319-23563-9

Electronic ISBN: 978-3-319-23564-6

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-23564-6_1

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