On the physical consistency of the coupling between three-dimensional compliant and one-dimensional problems in haemodynamics

作者: Alfio Quarteroni , Luca Formaggia , Christian Vergara

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摘要: In this work we discuss the reliability of coupling among three-dimensional (3D) and one-dimensional (1D) models, that describe blood flowing into circulatory tree. In particular, study physical consistency 1D model with respect to 3D one. To aim, introduce a general criterion based on energy balance for proper choice conditions between models. We also propose way include in effect external tissue surrounding vessel its importance whenever is considered model. Finally, several numerical results real human carotids, studying different configurations highlighting best one view consistency.

参考文章(25)
Alfio Quarteroni, Alessandro Veneziani, Modeling and simulation of blood flow problems Computational science for the 21st century.. pp. 369- 379 ,(1997)
Alfio Quarteroni, Luca Formaggia, Alessandro Veneziani, CARDIOVASCULAR MATHEMATICS: MODELING AND SIMULATION OF THE CIRCULATORY SYSTEM ,(2009)
Gerhard A. Holzapfel, Thomas C. Gasser, Ray W. Ogden, A new constitutive framework for arterial wall mechanics and a comparative study of material models Journal of Elasticity. ,vol. 61, pp. 1- 48 ,(2000) , 10.1023/A:1010835316564
Fabio Nobile, Matteo Pozzoli, Christian Vergara, Time accurate partitioned algorithms for the solution of fluid–structure interaction problems in haemodynamics Computers & Fluids. ,vol. 86, pp. 470- 482 ,(2013) , 10.1016/J.COMPFLUID.2013.07.031
Irene E. Vignon-Clementel, C. Alberto Figueroa, Kenneth E. Jansen, Charles A. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries Computer Methods in Applied Mechanics and Engineering. ,vol. 195, pp. 3776- 3796 ,(2006) , 10.1016/J.CMA.2005.04.014
Alfio Quarteroni, Alessandro Veneziani, Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations Multiscale Modeling & Simulation. ,vol. 1, pp. 173- 195 ,(2003) , 10.1137/S1540345902408482
Thomas J.R. Hughes, Wing Kam Liu, Thomas K. Zimmermann, Lagrangian-Eulerian finite element formulation for incompressible viscous flows Computer Methods in Applied Mechanics and Engineering. ,vol. 29, pp. 329- 349 ,(1981) , 10.1016/0045-7825(81)90049-9
P.J. Blanco, M.R. Pivello, S.A. Urquiza, R.A. Feijóo, On the potentialities of 3D–1D coupled models in hemodynamics simulations Journal of Biomechanics. ,vol. 42, pp. 919- 930 ,(2009) , 10.1016/J.JBIOMECH.2009.01.034