On the physical consistency of the coupling between three-dimensional compliant and one-dimensional problems in haemodynamics
Keywords
Advanced Numerical Methods for Scientific Computing
Code:
43/2011
Title:
On the physical consistency of the coupling between three-dimensional compliant and one-dimensional problems in haemodynamics
Date:
Friday 9th December 2011
Author(s):
L. Formaggia, A. Quarteroni, C. Vergara
Download link:
Abstract:
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.