Universität zu Köln

Balzani, Daniel ORCID: 0000-0002-1422-4262, Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rheinbach, Oliver ORCID: 0000-0002-9310-8533 and Schröder, Jörg (2022). Comparison of Arterial Wall Models in Fluid-Structure Interaction Simulations. Technical Report.

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Abstract

Monolithic fluid-structure interaction (FSI) of blood flow with arterial walls is considered, making use of sophisticated nonlinear wall models. These incorporate the effects of almost incompressibility as well as of the anisotropy caused by embedded collagen fibers. In the literature, relatively simple structural models such as Neo-Hooke are often considered for FSI with arterial walls. Such models lack, both, anisotropy and incompressibility. In this paper, numerical simulations of idealized heart beats in a curved benchmark geometry, using simple and sophisticated arterial wall models, are compared: we consider three different almost incompressible, anisotropic arterial wall models as a reference and, for comparison, a simple, isotropic Neo-Hooke model using four different parameter sets. The simulations show significant quantitative and qualitative differences in the stresses and displacements as well as the lumen cross sections. For the Neo-Hooke models, a significantly larger amplitude in the in- and outflow areas during the heart beat is observed, presumably due to the lack of fiber stiffening. For completeness, we also consider a linear elastic wall using 16 different parameter sets. However, using our benchmark setup, we were not successful in achieving good agreement with our nonlinear reference calculation.

Item Type:	Preprints, Working Papers or Reports (Technical Report)
Creators:	Creators Email ORCID ORCID Put Code Balzani, Daniel daniel.balzani@rub.de orcid.org/0000-0002-1422-4262 UNSPECIFIED Heinlein, Alexander a.heinlein@tudelft.nl orcid.org/0000-0003-1578-8104 UNSPECIFIED Klawonn, Axel axel.klawonn@uni-koeln.de orcid.org/0000-0003-4765-7387 UNSPECIFIED Rheinbach, Oliver oliver.rheinbach@math.tu-freiberg.de orcid.org/0000-0002-9310-8533 UNSPECIFIED Schröder, Jörg j.schroeder@uni-due.de UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-555864
Series Name at the University of Cologne:	Technical report series. Center for Data and Simulation Science
Volume:	2022-01
Date:	4 March 2022
Language:	English
Faculty:	Central Institutions / Interdisciplinary Research Centers
Divisions:	Center for Data and Simulation Science
Subjects:	Natural sciences and mathematics Mathematics Technology (Applied sciences)
Uncontrolled Keywords:	Keywords Language monolithic fluid-structure interaction English fluid-structure interaction English monolithic English biomechanics English benchmark English artery English arterial walls English arterial wall models English anisotropy English fiber stiffening English Neo-Hooke English linear elasticity English domain decomposition English
Refereed:	No
URI:	http://kups.ub.uni-koeln.de/id/eprint/55586