Abstract. We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh of elastic rods. The fluid flow is modeled by the time-dependent Navier- Stokes equations in a three-dimensional cylindrical domain, while the lateral wall of the cylinder is modeled by the two-dimensional linearly elastic Koiter shell equations coupled to a one-dimensional system of conservation laws defined on a graph domain, describing a mesh of curved rods. The mesh supported shell allows displacements in all three spatial directions. Two-way coupling basedmore »
Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithm
Computational fluid dynamics (CFD) is increasingly used to study blood flows in
patient-specific arteries for understanding certain cardiovascular diseases. The
techniques work quite well for relatively simple problems but need improvements
when the problems become harder when (a) the geometry becomes
complex (eg, a few branches to a full pulmonary artery), (b) the model becomes
more complex (eg, fluid-only to coupled fluid-structure interaction), (c) both
the fluid and wall models become highly nonlinear, and (d) the computer on
which we run the simulation is a supercomputer with tens of thousands of
processor cores. To push the limit of CFD in all four fronts, in this paper, we
develop and study a highly parallel algorithm for solving a monolithically coupled
fluid-structure system for the modeling of the interaction of the blood
flow and the arterial wall. As a case study, we consider a patient-specific, full
size pulmonary artery obtained from computed tomography (CT) images, with
an artificially added layer of wall with a fixed thickness. The fluid is modeled
with a system of incompressible Navier-Stokes equations, and the wall is modeled by a geometrically nonlinear elasticity equation. As far as we know, this is the first time the unsteady blood flow in a full pulmonary artery is simulated
without assuming a rigid wall. The proposed numerical more »
- Award ID(s):
- 1720366
- Publication Date:
- NSF-PAR ID:
- 10155913
- Journal Name:
- International journal for numerical methods in biomedical engineering
- ISSN:
- 2040-7939
- Sponsoring Org:
- National Science Foundation
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