Semi-implicit fluid–structure interaction in biomedical applications

Schussnig, Richard; Pacheco, Douglas R. Q.; Fries, Thomas‐Peter

doi:10.1016/j.cma.2022.115489

Cited by 14 publications

(14 citation statements)

References 80 publications

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“…For the discretization in time we consider the generalized-𝛼 time integration, 30 while the nonlinear system is solved via Newton's method adopting standard linearizations. 25,26,31,32 To capture the orientation and dispersion of the fiber families, we use two generalized structure tensors, as described in the Appendix A. The related dispersion parameters a and b as well as the in-plane and out-of-plane angles Φ and Θ facilitate this representation.…”

Section: Aortic Tissuementioning

confidence: 99%

“…The FSI solver and the modeling aspects discussed previously are built upon a consistent splitting scheme 46 and semi-implicit coupling. 31,32 This framework is based on the deal.II finite element library 76 and the algebraic multigrid methods provided by Trilinos. 77 Key aspects in this regard are the split-step scheme, which allows added-mass stable coupling in a semi-implicit fashion.…”

Section: Numerical Aspectsmentioning

confidence: 99%

“…Executing the ALE update, fluid momentum balance, and viscosity projection steps once per time step results in a significant reduction in the computational costs. 31,32 As can be seen from Figure 3, a single boundary layer of 0.25 mm thickness is introduced in the final mesh, while a grid convergence study included grids with up to three boundary layers, and 3.41, 4.21, and 5.11 million finite elements. When comparing flow rates and pressures at each of the outlets, sufficient agreement (with differences lower than 7 %) between coarse and fine mesh results were found.…”

Section: Numerical Aspectsmentioning

confidence: 99%

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On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection

Schussnig,

Rolf‐Pissarczyk,

Bäumler

et al. 2024

Numerical Meth Engineering

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Modeling an aortic dissection represents a particular challenge from a numerical perspective, especially when it comes to the interaction between solid (aortic wall) and liquid (blood flow). The complexity of patient‐specific simulations requires a variety of parameters, modeling assumptions and simplifications that currently hinder their routine use in clinical settings. We present a numerical framework that captures, among other things, the layer‐specific anisotropic properties of the aortic wall, the non‐Newtonian behavior of blood, patient‐specific geometry, and patient‐specific flow conditions. We compare hemodynamic indicators and stress measurements in simulations with increasingly complex material models for the vessel tissue ranging from rigid walls to anisotropic hyperelastic materials. We find that for the present geometry and boundary conditions, rigid wall simulations produce different results than fluid–structure interaction simulations. Considering anisotropic fiber contributions in the tissue model, stress measurements in the aortic wall differ, but shear stress‐based biomarkers are less affected. In summary, the increasing complexity of the tissue model enables capturing more details. However, an extensive parameter set is also required. Since the simulation results depend on these modeling choices, variations can lead to different recommendations in clinical applications.

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Section: Aortic Tissuementioning

confidence: 99%

Section: Numerical Aspectsmentioning

confidence: 99%

Section: Numerical Aspectsmentioning

confidence: 99%

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On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection

Schussnig,

Rolf‐Pissarczyk,

Bäumler

et al. 2024

Numerical Meth Engineering

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“…For problems with certain symmetries, as presented in §3, the evaluation of the transformation matrix ⟦Q⟧ is straightforward. In more complex cases, the local material orientation can be derived from the solution of multiple auxiliary Laplace problems [46].…”

Section: Computational Modelmentioning

confidence: 99%

Modelling the anisotropic inelastic response of polymeric scaffolds for in situ tissue engineering applications

Terzano,

Wollner,

Kainz

et al. 2023

J. R. Soc. Interface.

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In situ tissue engineering offers an innovative solution for replacement valves and grafts in cardiovascular medicine. In this approach, a scaffold, which can be obtained by polymer electrospinning, is implanted into the human body and then infiltrated by cells, eventually replacing the scaffold with native tissue. In silico simulations of the whole process in patient-specific models, including implantation, growth and degradation, are very attractive to study the factors that might influence the end result. In our research, we focused on the mechanical behaviour of the polymeric scaffold and its short-term response. Following a recently proposed constitutive model for the anisotropic inelastic behaviour of fibrous polymeric materials, we present here its numerical implementation in a finite element framework. The numerical model is developed as user material for commercial finite element software. The verification of the implementation is performed for elementary deformations. Furthermore, a parallel-plate test is proposed as a large-scale representative example, and the model is validated by comparison with experiments.

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“…Tubular structures, such as patient-specific blood vessels, represent a class of domains where structured mesh generation has shown to be both useful, as well as achievable [2][3][4]. Furthermore, significant effort is required to tackle aortas plagued by aortic dissection [5], a serious cardiovascular condition. The established approaches to meshing similar domains primarily focus on generating linear meshes, whereas we pay special attention to higher-order meshes as well.…”

Section: Introductionmentioning

confidence: 99%

Block‐structured mesh generation from implicit geometries for cardiovascular applications

Bošnjak,

Fries

2023

Proc Appl Math and Mech

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Generation of suitable meshes for patient‐specific vascular domains remains a major obstacle in the context of numerical simulations relying on the finite element method, as well as many similar methods. Herein, we discuss a skeleton‐based structured meshing approach, revolving around block‐structures. We rely on an implicitly represented surface, either via a signed distance function, or a convolution surface. The mesh generation using the aforementioned concepts is performed through the proper utilisation of transfinite maps. Application‐wise, we consider healthy blood vessels, and extensions required to tackle aortas afflicted by aortic dissection. The high quality of the resulting meshes is affirmed through common mesh quality metrics. Our approach features large flexibility in terms of spatial resolution, as well as mesh order.

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Semi-implicit fluid–structure interaction in biomedical applications

Cited by 14 publications

References 80 publications

On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection

On the role of tissue mechanics in fluid–structure interaction simulations of patient‐specific aortic dissection

Modelling the anisotropic inelastic response of polymeric scaffolds for in situ tissue engineering applications

Block‐structured mesh generation from implicit geometries for cardiovascular applications

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