Computational fluid dynamics of blood flow in an idealized left human heart

Dedè, Luca; Menghini, F.; Quarteroni, Alfio

doi:10.1002/cnm.3287

Cited by 19 publications

(27 citation statements)

References 56 publications

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“…In cardiac FSI problems, the fluid model is coupled with the electromechanics (EM) model and the coupling is explicitly solved, entailing a high computational effort [10][11][12][13][14][15]. In prescribed displacement CFD simulations, on the other hand, the influence of the cardiac walls motion is modeled by analytical laws [8,[16][17][18][19][20][21][22] or by patient-specific image-based reconstructions [3,[23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system

Zingaro,

Fumagalli,

Dede'

et al. 2021

Preprint

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We present a novel computational model for the numerical simulation of the blood flow in the human heart by focusing on 3D fluid dynamics of the left heart. With this aim, we employ the Navier-Stokes equations in an Arbitrary Lagrangian Eulerian formulation to account for the endocardium motion, and we model both the mitral and the aortic valves by means of the Resistive Immersed Implicit Surface method. To impose a physiological displacement of the domain boundary, we use a 3D cardiac electromechanical model of the left ventricle coupled to a lumped-parameter (0D) closed-loop model of the circulation and the remaining cardiac chambers, including the left atrium. To extend the left ventricle motion to the endocardium of the left atrium and the ascending aorta, we introduce a preprocessing procedure that combines an harmonic extension of the left ventricle displacement with the motion of the left atrium based on the 0D model. We thus obtain a one-way coupled electromechanics-fluid dynamics model in the left ventricle. To better match the 3D CFD with blood circulation, we also couple the 3D Navier-Stokes equations -with domain motion driven by electromechanics -to the 0D circulation model. We obtain a multiscale coupled 3D-0D fluid dynamics model that we solve via a segregated numerical scheme. We carry out numerical simulations for a healthy left heart and we validate our model by showing that significant hemodynamic indicators are correctly reproduced. We finally show that our model is able to simulate the blood flow in the left heart in the scenario of mitral valve regurgitation.

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Section: Introductionmentioning

confidence: 99%

A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system

Zingaro,

Fumagalli,

Dede'

et al. 2021

Preprint

Self Cite

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“…Mathematical modeling of the heart and numerical simulations allow a better understanding of the phenomena occurring both in physiological and pathological conditions [36,50,59,85,86]. Several types of processes occur in the human heart, such as propagation of an action potential in the myocardium, which contracts, together with the blood flowing in the four chambers (atria and ventricles) and through the valves [21,27,56,78,80,81]. This problem is challenging from the numerical standpoint [13,17,28,42] as it involves different temporal and spatial scales.…”

Section: Introductionmentioning

confidence: 99%

An intergrid transfer operator using radial basis functions with application to cardiac electromechanics

2020

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In the framework of efficient partitioned numerical schemes for simulating multiphysics PDE problems, we propose using intergrid transfer operators based on radial basis functions to accurately exchange information among different PDEs defined in the same computational domain. Different (potentially non-nested) meshes can be used for the space discretization of the PDEs. The projection of the (primary) variables that are shared by the different PDEs (through the coupling terms) is carried out with Rescaled Localized Radial Basis Functions. We validate our approach by a numerical test for which we also show the scalability of the intergrid transfer operator in the framework of high performance computing. Then, we apply it to the electromechanical model for the human heart function, and simulate a heartbeat of an idealized left ventricle. We show that our approach enables the solution of large-scale multiphysics problems, especially when the individual models exhibit very different spatial scales.

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“…CFD based blood flow simulation is increasingly used to obtain the hemodynamic properties of individual patient. For example, Dedè et al studied the blood flow in an idealized left human heart 7 . Buoso et al introduced a parameterized reduced‐order method for the noninvasive functional evaluation of coronary artery diseases 8 .…”

Section: Introductionmentioning

confidence: 99%

A parallel non‐nested two‐level domain decomposition method for simulating blood flows in cerebral artery of stroke patient

Chen

Cheng

et al. 2020

Numer Methods Biomed Eng

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Numerical simulation of blood flows in patient‐specific arteries can be useful for the understanding of vascular diseases, as well as for surgery planning. In this paper, we simulate blood flows in the full cerebral artery of stroke patients. To accurately resolve the flow in this rather complex geometry with stenosis is challenging and it is also important to obtain the results in a short amount of computing time so that the simulation can be used in pre‐ and/or post‐surgery planning. For this purpose, we introduce a highly scalable, parallel non‐nested two‐level domain decomposition method for the three‐dimensional unsteady incompressible Navier‐Stokes equations with an impedance outlet boundary condition. The problem is discretized with a stabilized finite element method on unstructured meshes in space and a fully implicit method in time, and the large nonlinear systems are solved by a preconditioned parallel Newton‐Krylov method with a two‐level Schwarz method. The key component of the method is a non‐nested coarse problem solved using a subset of processor cores and its solution is interpolated to the fine space using radial basis functions. To validate and verify the proposed algorithm and its highly parallel implementation, we consider a case with available clinical data and show that the computed result matches with the measured data. Further numerical experiments indicate that the proposed method works well for realistic geometry and parameters of a full size cerebral artery of an adult stroke patient on a supercomputers with thousands of processor cores.

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Computational fluid dynamics of blood flow in an idealized left human heart

Cited by 19 publications

References 56 publications

A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system

A multiscale CFD model of blood flow in the human left heart coupled with a lumped-parameter model of the cardiovascular system

An intergrid transfer operator using radial basis functions with application to cardiac electromechanics

A parallel non‐nested two‐level domain decomposition method for simulating blood flows in cerebral artery of stroke patient

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