High fidelity fluid-structure interaction by radial basis functions mesh adaption of moving walls: A workflow applied to an aortic valve

Geronzi, Leonardo; Gasparotti, Emanuele; Capellini, Katia; Cella, Ubaldo; Groth, Corrado; Porziani, Stefano; Chiappa, Andrea; Celi, Simona; Biancolini, Marco Evangelos

doi:10.1016/j.jocs.2021.101327

Cited by 21 publications

(11 citation statements)

References 34 publications

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“…Consequently, the CFD RBF approach presented the advantage of an a-priori exclusion of the intrinsic uncertainties given by material characterization and modeling, which were demonstrated to be responsible for inaccuracies ( 70 , 71 ). Recent studies proposed this approach to study the effect of aortic flow by imposing valve kinematics ( 72 , 73 ).…”

Section: Discussionmentioning

confidence: 99%

On the Role and Effects of Uncertainties in Cardiovascular in silico Analyses

Celi

Vignali

Capellini

et al. 2021

Front. Med. Technol.

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The assessment of cardiovascular hemodynamics with computational techniques is establishing its fundamental contribution within the world of modern clinics. Great research interest was focused on the aortic vessel. The study of aortic flow, pressure, and stresses is at the basis of the understanding of complex pathologies such as aneurysms. Nevertheless, the computational approaches are still affected by sources of errors and uncertainties. These phenomena occur at different levels of the computational analysis, and they also strongly depend on the type of approach adopted. With the current study, the effect of error sources was characterized for an aortic case. In particular, the geometry of a patient-specific aorta structure was segmented at different phases of a cardiac cycle to be adopted in a computational analysis. Different levels of surface smoothing were imposed to define their influence on the numerical results. After this, three different simulation methods were imposed on the same geometry: a rigid wall computational fluid dynamics (CFD), a moving-wall CFD based on radial basis functions (RBF) CFD, and a fluid-structure interaction (FSI) simulation. The differences of the implemented methods were defined in terms of wall shear stress (WSS) analysis. In particular, for all the cases reported, the systolic WSS and the time-averaged WSS (TAWSS) were defined.

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Section: Discussionmentioning

confidence: 99%

On the Role and Effects of Uncertainties in Cardiovascular in silico Analyses

Celi

Vignali

Capellini

et al. 2021

Front. Med. Technol.

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“…In Figure 8, on the left, the flutter velocity results are shown for the AGARD 445.6 case, on the right the first four modes employed for the transient FSI simulation are displayed. Another interesting example of the transient FSI problem with prescribed displacements is shown in [29] for a biomedical application. With the aim of reducing the complexities related to a fully transient 2-way FSI problem, authors managed to reproduce a full systolic cycle of a polymeric prosthetic heart valve (P-PHV) by means of a 1-way coupling, taking into account structural non-linearities and inertia effects.…”

Section: Transient Fsi With Prescribed Displacement Field Examplesmentioning

confidence: 99%

“…It is worthwhile to note that vector interpolation work to map the required vector fields onto the CFD mesh is performed once, as the shapes are all known in advance, and during the run the shape evolution is achieved acting only on the scalar weights that are imposed to apply each vector field with the required intensity. The effectiveness of such approach [28] has been demonstrated by controlling the movement of the walls for the case of a prosthetic aortic valve, driving the movement of the walls according to FEA computes time history [29] and for the case of an ascending aorta where the movement of the vessel wall is imposed by in vivo acquired evolving shape [30].…”

Section: Introductionmentioning

confidence: 99%

Radial Basis Functions Vector Fields Interpolation for Complex Fluid Structure Interaction Problems

Groth

Porziani

Biancolini

2021

Fluids

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Fluid structure interaction (FSI) is a complex phenomenon that in several applications cannot be neglected. Given its complexity and multi-disciplinarity the solution of FSI problems is difficult and time consuming, requiring not only the solution of the structural and fluid domains, but also the use of expensive numerical methods to couple the two physics and to properly update the numerical grid. Advanced mesh morphing can be used to embed into the fluid grid the vector fields resulting from structural calculations. The main advantage is that such embedding and the related computational costs occur only at initialization of the computation. A proper combination of embedded vector fields can be used to tackle steady and transient FSI problems by structural modes superposition, for the case of linear structures, or to impose a full non-linear displacement time history. Radial basis functions interpolation, a powerful and precise meshless tool, is used in this work to combine the vector fields and propagate their effect to the full fluid domain of interest. A review of industrial high fidelity FSI problems tackled by means of the proposed method and RBF is given for steady, transient, and non-linear transient FSI problems.

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“…Compared with in situ investigations, numerical simulations give in-depth, highresolution values in parameters as functions of time and position and, as a result, complete information on the performance of the synthetic heart valves under operation. Because of the nature of the valves, fluid-structure interaction (FSI) simulations with two-way coupling are the best analysis methods for this scenario (Bailoor et al, 2021;Geronzi et al, 2021). Leaflets and the vessel are modeled as solid parts with Cauchy equations of motion, while the blood is modeled as the fluid part with Navier-Stokes equations of motion, having deformable boundaries (the solid part) with two solid and fluid equations being solved simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Design and Analysis of Prosthetic Heart Valves and Assessing the Effects of Leaflet Design on the Mechanical Attributes of the Valves

2022

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Prosthetic heart valves are commonly used as a treatment for aortic valve deficiencies. The performance of these prosthetic valves should be in accordance with the natural heart valve with respect to opening and closing, blood flow, and vortex formation. These performance parameters depend on the design of leaflets and overall geometrical parameters of the valve. To better understand the effects of leaflet design on the performance of the valve, we have carried out fully coupled fluid–structure interaction analyses of opening and closing of prosthetic heart valves with various leaflet designs. Maximum stress, valve opening, and flow stream pattern are obtained for different valve designs and used to assess the performance of the valves. The results show that the stress and the valve opening depend on the curvature and the inclination of the leaflets. A 3D model is designed based on the obtained results, and a full FSI analysis is performed to assess its performance. The results show that the presented design gives better values for valve opening area and leaflet stresses than that in the published data.

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High fidelity fluid-structure interaction by radial basis functions mesh adaption of moving walls: A workflow applied to an aortic valve

Cited by 21 publications

References 34 publications

On the Role and Effects of Uncertainties in Cardiovascular in silico Analyses

On the Role and Effects of Uncertainties in Cardiovascular in silico Analyses

Radial Basis Functions Vector Fields Interpolation for Complex Fluid Structure Interaction Problems

Design and Analysis of Prosthetic Heart Valves and Assessing the Effects of Leaflet Design on the Mechanical Attributes of the Valves

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