Fluid-structure interaction modeling of artery aneurysms with steady-state configurations

Eugenio Aulisa, Giorgio Bornia, Sara Calandrini

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

This paper addresses numerical simulations of fluid-structure interaction (FSI) problems involving artery aneurysms, focusing on steady-state configurations. Both the fluid flow and the hyperelastic material are incompressible. A monolithic formulation for the FSI problem is considered, where the deformation of the fluid domain is taken into account according to an Arbitrary Lagrangian Eulerian (ALE) scheme. The numerical algorithm is a Newton-Krylov method combined with geometric multigrid preconditioner and smoothing based on domain decomposition. The system is modeled using a specific equation shuffling that aims at improving the row pivoting. Due to the complexity of the operators, the exact Jacobian matrix is evaluated using automatic differentiation tools. We describe benchmark settings which shall help to test and compare different numerical methods and code implementations for the FSI problem in hemodynamics. The configurations consist of realistic artery aneurysms. A case of endovascular stent implantation on a cerebral aneurysm is also presented. Hybrid meshes are employed in such configurations. We show numerical results for the described aneurysm geometries for steady-state boundary conditions. Parallel implementation is also addressed.

Original languageEnglish
Title of host publicationProceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017
EditorsManolis Papadrakakis, Eugenio Onate, Bernhard A. Schrefler
PublisherInternational Center for Numerical Methods in Engineering
Pages616-627
Number of pages12
ISBN (Electronic)9788494690921
StatePublished - 2017
Event7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017 - Rhodes Islad, Greece
Duration: Jun 12 2017Jun 14 2017

Publication series

NameProceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017
Volume2017-January

Conference

Conference7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017
Country/TerritoryGreece
CityRhodes Islad
Period06/12/1706/14/17

Keywords

  • Cerebral aneurysms
  • Fluid-structure interaction
  • Incompressible Navier-Stokes equations
  • Intracranial stent

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