We model blood flow in arteries as an incompressible Newtonian fluid cc fined by a poroelastic wall. The blood and the artery are coupled at multiple leve Fluid forces affect the deformation of the artery. In turn, the mechanical deformati of the wall influences both blood flow and transmural plasma filtration. We analy these phenomena using a two layer model for the artery, where the inner layers (t endothelium and the intima) behave as a thin membrane modeled as a linearly el tic Koiter shell, while the outer part of the artery (accounting for the media and t adventitia) is described by the Biot model. We assume that the membrane can tra duce displacements and stresses to the artery and it is permeable to flow. We develop a numerical scheme based on the finite element method to approxim; this problem. Particular attention must be addressed to the discrete enforcement the interface conditions. Because of poroelasticity, the interaction of the fluid a the structure at the interface is more complicated than in the case of a standard flui structure interaction problem. Among different possible strategies to address t task, we consider the weak enforcement of interface conditions based on Nitsch type mortaring, which is easily adapted to this particular problem and it guarante stability. The ultimate objective of this work is to use the available solver to investigate t effect of poroelastic coupling on the behavior of fluid-stucture interaction for lar arteries. In particular, we are interested to qualitatively characterize how the presen of intramural flow coupled to the arterial wall deformation affects the displaceme field as well as the propagation of pressure waves.

Effects of poroelasticity on fluid-structure interaction in arteries: A computational sensitivity study

ZUNINO, PAOLO
2015-01-01

Abstract

We model blood flow in arteries as an incompressible Newtonian fluid cc fined by a poroelastic wall. The blood and the artery are coupled at multiple leve Fluid forces affect the deformation of the artery. In turn, the mechanical deformati of the wall influences both blood flow and transmural plasma filtration. We analy these phenomena using a two layer model for the artery, where the inner layers (t endothelium and the intima) behave as a thin membrane modeled as a linearly el tic Koiter shell, while the outer part of the artery (accounting for the media and t adventitia) is described by the Biot model. We assume that the membrane can tra duce displacements and stresses to the artery and it is permeable to flow. We develop a numerical scheme based on the finite element method to approxim; this problem. Particular attention must be addressed to the discrete enforcement the interface conditions. Because of poroelasticity, the interaction of the fluid a the structure at the interface is more complicated than in the case of a standard flui structure interaction problem. Among different possible strategies to address t task, we consider the weak enforcement of interface conditions based on Nitsch type mortaring, which is easily adapted to this particular problem and it guarante stability. The ultimate objective of this work is to use the available solver to investigate t effect of poroelastic coupling on the behavior of fluid-stucture interaction for lar arteries. In particular, we are interested to qualitatively characterize how the presen of intramural flow coupled to the arterial wall deformation affects the displaceme field as well as the propagation of pressure waves.
2015
Modeling, Simulation and Applications
978-3-319-05229-8
978-3-319-05230-4
978-3-319-05229-8
978-3-319-05230-4
Applied Mathematics; Computational Mathematics; Modeling and Simulation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1002498
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