Immersogeometric fluid–structure interaction modeling and simulation of transcatheter aortic valve replacement

Wu, Mike; Muchowski, Heather M.; Johnson, Emily L.; Rajanna, Manoj R.; Hsu, Ming‐Chen

doi:10.1016/j.cma.2019.07.025

Cited by 63 publications

(31 citation statements)

References 99 publications

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“…This method, nevertheless, also necessitates the use of finely resolved background meshes in order for the delta functions to have a width of multiple fluid elements. A truly mixeddimensional fluid-beam interaction method, that allows for relatively coarse background meshes, was discussed only in [26]. Here, the coupling was realized on the beam centerline and applied to the simulation of a transcatheter heart valve.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed formulation is based on the assumption that the beam diameter is smaller than the characteristic fluid element diameter, and that the development of global flow phenomena, in contrast to interface phenomena, is of primary interest. With such application cases in mind, we will follow the simplification ideas of Baaijens [20,26] and directly couple the one-dimensional beam centerline to the three-dimensional continuum equations following a Gauss-point-to-segment (GPTS) type approach, e.g. as commonly used in contact mechanics.…”

Section: Introductionmentioning

confidence: 99%

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One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa

Hagmeyer

Mayr

Steinbrecher

et al. 2022

Adv. Model. and Simul. in Eng. Sci.

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This work addresses research questions arising from the application of geometrically exact beam theory in the context of fluid-structure interaction (FSI). Geometrically exact beam theory has proven to be a computationally efficient way to model the behavior of slender structures while leading to rather well-posed problem descriptions. In particular, we propose a mixed-dimensional embedded finite element approach for the coupling of one-dimensional geometrically exact beam equations to a three-dimensional background fluid mesh, referred to as fluid–beam interaction (FBI) in analogy to the well-established notion of FSI. Here, the fluid is described by the incompressible isothermal Navier–Stokes equations for Newtonian fluids. In particular, we present algorithmic aspects regarding the solution of the resulting one-way coupling schemes and, through selected numerical examples, analyze their spatial convergence behavior as well as their suitability not only as stand-alone methods but also for an extension to a full two-way coupling scheme.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa

Hagmeyer

Mayr

Steinbrecher

et al. 2022

Adv. Model. and Simul. in Eng. Sci.

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show abstract

“…The method does not require the penalty parameter to be manually selected and is suitable for non-matching and non-smooth interfaces. The applicability of the method has been demonstrated in the modeling of complex, real-world composite wind turbine blades [38,72] and transcatheter heart valves [100]. The convergence of the method was further improved in Leonetti et al [101] by rewriting the penalty energies in a Hellinger-Reissner sense to introduce conjugate field work to the coupled system.…”

Section: Introductionmentioning

confidence: 99%

Blended isogeometric Kirchhoff–Love and continuum shells

Liu

Johnson

Rajanna

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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The computational modeling of thin-walled structures based on isogeometric analysis (IGA), non-uniform rational B-splines (NURBS), and Kirchhoff-Love (KL) shell formulations has attracted significant research attention in recent years. While these methods offer numerous benefits over the traditional finite element approach, including exact representation of the geometry, naturally satisfied high-order continuity within each NURBS patch, and computationally efficient rotation-free formulations, they also present a number of challenges in modeling real-world engineering structures of considerable complexity. Specifically, these NURBS-based engineering models are usually comprised of numerous patches, with discontinuous derivatives, nonconforming discretizations, and non-watertight connections at their interfaces. Moreover, the analysis of such structures often requires the full stress and strain tensors (i.e., including the transverse normal and shear components) for subsequent failure analysis and remaining life prediction. Despite the efficiency provided by the KL shell, the formulation cannot accurately predict the response in the transverse directions due to its kinematic assumptions. In this work, a penalty-based formulation for the blended coupling of KL and continuum shells is presented. The proposed approach embraces both the computational efficiency of KL shells and the availability of the full-scale stress/strain tensors of continuum shells where needed by modeling critical structural components using continuum shells and other components using KL shells. The proposed method enforces the displacement and rotational continuities in a variational manner and is applicable to non-conforming and non-smooth interfaces. The efficacy of the developed method is demonstrated through a number of benchmark studies with a variety of analysis configurations, including linear and nonlinear analyses, matching and non-matching discretizations, and isotropic and composite materials. Finally, an aircraft horizontal stabilizer is considered to demonstrate the applicability of the proposed blended shells to real-world engineering structures of significant complexity. c

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“…IGA uses the B-spline basis functions for both representing the geometry and for the analysis. Hence, the NURBS valve geometry can be directly used for both valve design and analysis using IGA 10,14–17 .…”

Section: Introductionmentioning

confidence: 99%

“…The stresses and strains during the heart valve closure can be directly computed from the heart valve deformations. However, the proposed methodology is general; it can be extended to analyze other key performance characteristics of heart valves and more complex valve simulations that include fluid structure interaction 10,15–17,31 .…”

Section: Introductionmentioning

confidence: 99%

A Deep Learning Framework for Design and Analysis of Surgical Bioprosthetic Heart Valves

Balu

Nallagonda

et al. 2019

Sci Rep

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Bioprosthetic heart valves (BHVs) are commonly used as heart valve replacements but they are prone to fatigue failure; estimating their remaining life directly from medical images is difficult. Analyzing the valve performance can provide better guidance for personalized valve design. However, such analyses are often computationally intensive. In this work, we introduce the concept of deep learning (DL) based finite element analysis (DLFEA) to learn the deformation biomechanics of bioprosthetic aortic valves directly from simulations. The proposed DL framework can eliminate the time-consuming biomechanics simulations, while predicting valve deformations with the same fidelity. We present statistical results that demonstrate the high performance of the DLFEA framework and the applicability of the framework to predict bioprosthetic aortic valve deformations. With further development, such a tool can provide fast decision support for designing surgical bioprosthetic aortic valves. Ultimately, this framework could be extended to other BHVs and improve patient care.

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Immersogeometric fluid–structure interaction modeling and simulation of transcatheter aortic valve replacement

Cited by 63 publications

References 99 publications

One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa

One-way coupled fluid–beam interaction: capturing the effect of embedded slender bodies on global fluid flow and vice versa

Blended isogeometric Kirchhoff–Love and continuum shells

A Deep Learning Framework for Design and Analysis of Surgical Bioprosthetic Heart Valves

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