On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the 3D one. To this aim, we introduce a general...

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Bibliographic Details
Published inJournal of computational physics Vol. 244; pp. 97 - 112
Main Authors Formaggia, Luca, Quarteroni, Alfio, Vergara, Christian
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2013
Subjects
Blood
Cardiovascular simulation
Circulation
Consistency
Geometrical multiscale
Human
Human carotid
Joining
Mathematical models
Surrounding tissue
Three dimensional
Three dimensional models
Total pressure
Cardiovascular simulation
Geometrical multiscale
Human carotid
Total pressure
Surrounding tissue
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Summary:In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the 3D one. To this aim, we introduce a general criterion based on energy balance for the proper choice of coupling conditions between models. We also propose a way to include in the 1D model the effect of the external tissue surrounding the vessel and we discuss its importance whenever this effect is considered in the 3D model. Finally, we propose several numerical results in real human carotids, studying different configurations for the 1D model and highlighting the best one in view of the physical consistency.
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ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2012.08.001