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On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction

COMPUTERS & MATHEMATICS WITH APPLICATIONS 2021年 96卷 109-119页

作者： Gigante, Giacomo Vergara, Christian Univ Bergamo Dipartimento Ingn Gest Informaz & Prod Bergamo Italy Politecn Milan Dipartimento Chim Mat & Ingn Chim Giulio Natta LABS Milan Italy

We consider a loosely-coupled algorithm for fluid-structure interaction based on a Robin interface condition for the fluid problem (explicit Robin-Neumann scheme). We study the dependence of the stability of this method on the interface parameter in the Robin condition. In particular, for a model problem we find sufficient conditions for instability and stability of the method. In the latter case, we find a stability condition relating the time discretization parameter, the interface parameter, and the fluid and structure densities. Numerical experiments confirm the theoretical findings and highlight optimal choices of the interface parameter that guarantee accurate solutions.

关键词： fluid-structure interaction Loosely-coupled algorithms Robin interface conditions Added mass effect

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A Study of fluid-structure interaction of Unsteady Flow in the Blood Vessel Using Finite Element Method

A Study of Fluid-Structure Interaction of Unsteady Flow in t...

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International Conference on Modern Mechanics and Applications, ICOMMA 2020

作者： Ha, S.T. Nguyen, T.D. Vu, V.C. Nguyen, M.H. Nguyen, M.D. Department of Mechanical Engineering Le Quy Don Technical University Hanoi Viet Nam

ISBN: (纸本)9789811632389

The paper presents a numerical simulation for fluid-structure interaction (FSI) of unsteady blood flow interacting with the vessel wall. The present work aims to provide a simple approach for very large deformation of the wall. The implementation of the method is straightforward and can be employed for a large scale problem with a cheap computational cost. The classical finite element discretization is adopted both for fluid and solid domains on tetrahedral elements. The monolithic scheme is used for the strong coupling of fluid and structure to satisfy kinematic and dynamic equilibrium conditions at the interface. The Navier-Stokes equations of an incompressible flow are solved by using the integrated method based on the Arbitrary Lagrangian-Eulerian (ALE) formula for the moving grid, and the total Lagrangian formulation is used for the non-linear hyper-elastic material of the vessel wall with the Mooney-Rivlin material model adopted as a constitutive equation for the solid domain. The numerical solutions for the FSI of blood vessel problem are quite similar to the experimental data. After validation the code, two problems of the blood vessel walls are considered: The carotid bifurcation and the aortic valve problems. The simulation results can be used for predicting the risk of cardiovascular diseases. © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

关键词： Blood vessel Finite element method fluid-structure interaction Unsteady flow

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Performance of a Nitinol Honeycomb Stent for the Management of Atherosclerotic Aortic Plaque: Crimping, Sealing, and fluid-structure interaction Analysis

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JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 2021年第3期88卷 031013页

作者： Jayendiran, Raja Nour, Bakr Ruimi, Annie Texas A&M Univ Qatar Mech Engn Program Doha Qatar Weill Cornell Med Qatar Div Gen Surg Doha Qatar

We present the results of a computational study to investigate the performance of a nitinol honeycomb stent used in the management of an aortic atherosclerotic plaque with 70% stenosis. Such is considered severe and is associated with a higher risk of cardiovascular death. Traditionally, plaque size, composition, shape, and location are thought as important factors in determining the potential for the plaque to rupture (aka plaque vulnerability). The study looks at two plaque shapes and two plaque compositions. The stent used in the simulations is our own design. It compresses and expands due to nitinol's superelastic property. The human aorta is represented by the Gasser-Ogden-Holzapfel (GOH) model, a sophisticated hyperelastic model which accounts for the dispersion of fibers present in the tissues. We proceed to investigate how the stent-aorta-plaque structure behaves under a physiological blood flow. Results indicate that the stent as designed can sustain realistic blood flow conditions and that hypocellular plaques are more prone to rupture, in agreement with results published in the literature. It also shows that neither plaque composition nor shape affect the wall shear stress (WSS). This study can be useful to surgeons to identify regions of stenotic aorta subjected to high stress, to select the appropriate stent diameter for aortae with plaques with various compositions and plaque shapes, and to decide on the optimal site for stent implantation.

关键词： nitinol stent superelasticity crimping sealing stress plaque fluid-structure interaction wall shear stress

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A monolithic arbitrary Lagrangian-Eulerian-based finite element strategy for fluid-structure interaction problems involving a compressible fluid

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2021年第21期122卷 6037-6102页

作者： Dutta, Suman Jog, C. S. Indian Inst Sci Dept Mech Engn Bangalore 560012 Karnataka India

In this work, we present a new monolithic finite element strategy for solving fluid-structure interaction problems involving a compressible fluid and a hyperelastic structure. In the Lagrangian limit, the time-stepping strategy that we propose conserves the total energy, and linear and angular momenta. Detailed proofs with numerical validations are provided. We use a displacement-based Lagrangian formulation for the structure, and a velocity-based arbitrary Lagrangian-Eulerian mixed formulation with appropriately chosen interpolations for the various field variables to ensure stability of the resulting numerical procedure. A hybrid formulation is used to prevent locking of thin structures. Apart from physical variables such as displacement, velocity, and so forth, no new variables are introduced in the formulation. The use of the exact tangent stiffness matrix ensures that the algorithm converges quadratically within each time step. A number of benchmark examples have been solved to illustrate the good performance of the proposed method.

关键词： ALE compressible flow conservation properties finite element method fluid-structure interaction mixed formulation monolithic

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A comparative analysis of Lagrange multiplier and penalty approaches for modelling fluid-structure interaction

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ENGINEERING COMPUTATIONS 2021年第4期38卷 1677-1705页

作者： Brandsen, Jacobus D. Vire, Axelle Turteltaub, Sergio R. Van Bussel, Gerard J. W. Delft Univ Technol Wind Energy Grp Fac Aerosp Engn Delft Netherlands Delft Univ Technol Aerosp Struct & Computat Mech Grp Fac Aerosp Engn Delft Netherlands

Purpose When simulating fluid-structure interaction (FSI), it is often essential that the no-slip condition is accurately enforced at the wetted boundary of the structure. This paper aims to evaluate the relative strengths and limitations of the penalty and Lagrange multiplier methods, within the context of modelling FSI, through a comparative analysis. Design/methodology/approach In the immersed boundary method, the no-slip condition is typically imposed by augmenting the governing equations of the fluid with an artificial body force. The relative accuracy and computational time of the penalty and Lagrange multiplier formulations of this body force are evaluated by using each to solve three test problems, namely, flow through a channel, the harmonic motion of a cylinder through a stationary fluid and the vortex-induced vibration (VIV) of a cylinder. Findings The Lagrange multiplier formulation provided an accurate solution, especially when enforcing the no-slip condition, and was robust as it did not require "tuning" of problem specific parameters. However, these benefits came at a higher computational cost relative to the penalty formulation. The penalty formulation achieved similar levels of accuracy to the Lagrange multiplier formulation, but only if the appropriate penalty factor was selected, which was difficult to determine a priori. Originality/value Both the Lagrange multiplier and penalty formulations of the immersed boundary method are prominent in the literature. A systematic quantitative comparison of these two methods is presented within the same computational environment. A novel application of the Lagrange multiplier method to the modelling of VIV is also provided.

关键词： Penalty Finite element fluid-structure interaction Lagrange multiplier Immersed boundary

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Model Reduction Framework with a New Take on Active Subspaces for Optimization Problems with Linearized fluid-structure interaction Constraints

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2021年第19期122卷 5450-5481页

作者： Boncoraglio, Gabriele Farhat, Charbel Bou-Mosleh, Charbel Stanford Univ Dept Aeronaut & Astronaut Durand Bldg496 Lomita Mall Stanford CA 94305 USA Stanford Univ Dept Mech Engn Bldg 530440 Escondido Mall Stanford CA 94305 USA Stanford Univ Inst Computat & Math Engn Huang Engn Ctr 475 Via OrtegaSuite 060 Stanford CA 94305 USA Notre Dame Univ Louaize Dept Mech Engn Zouk Mosbeh Lebanon

In this paper, a new take on the concept of an active subspace for reducing the dimension of the design parameter space in a multidisciplinary analysis and optimization (MDAO) problem is proposed. The new approach is intertwined with the concepts of adaptive parameter sampling, projection-based model order reduction, and a database of linear, projection-based reduced-order models equipped with interpolation on matrix manifolds, in order to construct an efficient computational framework for MDAO. The framework is fully developed for MDAO problems with linearized fluid-structure interaction constraints. It is applied to the aeroelastic tailoring, under flutter constraints, of two different flight systems: a flexible configuration of NASA's Common Research Model;and NASA's Aeroelastic Research Wing #2 (ARW-2). The obtained results illustrate the feasibility of the computational framework for realistic MDAO problems and highlight the benefits of the new approach for constructing an active subspace in both terms of solution optimality and wall-clock time reduction.

关键词： active subspace constrained optimization fluid-structure interaction gradient-based optimization interpolation on matrix manifolds model reduction parameter sampling

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Bioprosthetic Valve Size Selection to Optimize Aortic Valve ReplacementSurgical Outcome: A fluid-structure interaction Modeling Study

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Computer Modeling in Engineering & Sciences 2021年第4期127卷 159-174页

作者： Caili Li Dalin Tang Jing Yao Christopher Baird Haoliang Sun Chanjuan Gong Luyao Ma Yanjuan Zhang Liang Wang Han Yu Chun Yang Yongfeng Shao School of Mathematics Southeast UniversityNanjing210096China School of Biological Science&Medical Engineering Southeast UniversityNanjing210096China Mathematical Sciences Department Worcester Polytechnic InstituteWorcesterMA 01609USA Department of Cardiology First Affiliated Hospital of Nanjing Medical UniversityNanjing210029China Department of Cardiac Surgery Boston Children’s HospitalHarvard Medical SchoolBostonMA 02115USA Department of Cardiovascular Surgery First Affiliated Hospital of Nanjing Medical UniversityNanjing210029China Department of Anesthesiology First Affiliated Hospital of Nanjing Medical UniversityNanjing210029China China Information Technology Designing&Consulting Institute Co. Ltd.Beijing100048China

Aortic valve replacement(AVR)remains a major treatment option for patients with severe aortic valve *** outcome of AVR is strongly dependent on implanted prosthetic valve ***-structure interaction(FSI)aortic root models were constructed to investigate the effect of valve size on hemodynamics of the implanted bioprosthetic valve and optimize the outcome of AVR *** models with 4 sizes of bioprosthetic valves(19(No.19),21(No.21),23(No.23)and 25 mm(No.25))were *** ventricle outflow track flow data from one patient was collected and used as model flow *** Mooney–Rivlin models were used to describe mechanical properties of aortic valve *** flow pressure,velocity,systolic valve orifice pressure gradient(SVOPG),systolic cross-valve pressure difference(SCVPD),geometric orifice area,and flow shear stresses from the four valve models were *** results indicated that larger valves led to lower transvalvular pressure gradient,which is linked to better post AVR *** SVOPG,mean SCVPD and maximum velocity for Valve No.25 were 48.17%,49.3%,and 44.60%lower than that from Valve No.19,*** orifice area from Valve No.25 was 52.03%higher than that from Valve No.19(1.87 cm2 vs.1.23 cm2).Implantation of larger valves can significantly reduce mean flow shear stress on valve *** initial results suggested that larger valve size may lead to improved hemodynamic performance and valve cardiac function post *** patient studies are needed to validate our findings.

关键词： fluid-structure interaction aortic valve aortic valve replacement bioprosthetic valve prosthesis–patient mismatch

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Evaluation of Recirculation During Venovenous Extracorporeal Membrane Oxygenation Using Computational fluid Dynamics Incorporating fluid-structure interaction

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ASAIO JOURNAL 2021年第8期67卷 943-953页

作者： Conrad, Steven A. Wang, Dongfang Louisiana State Univ Hlth Sci Ctr Shreveport Dept Med Shreveport LA USA Louisiana State Univ Hlth Sci Ctr Shreveport Dept Emergency Med Shreveport LA USA Louisiana State Univ Hlth Sci Ctr Shreveport Dept Surg Shreveport LA USA Univ Kentucky Dept Surg Lexington KY USA

Recirculation in venovenous extracorporeal membrane oxygenation (VV ECMO) leads to reduction in gas transfer efficiency. Studies of the factors contributing have been performed using in vivo studies and computational models. The fixed geometry of previous computational models limits the accuracy of results. We have developed a finite element computational fluid dynamics model incorporating fluid-structure interaction (FSI) that incorporates atrial deformation during atrial filling and emptying, with fluid flow solved using large eddy simulation. With this model, we have evaluated an extensive number of factors that could influence recirculation during two-site VV ECMO, and characterized their impact on recirculation, including cannula construction, insertion depth and orientation, VV ECMO configuration, circuit blood flow, and changes in volume, venous return, heart rate, and blood viscosity. Simulations revealed that extracorporeal blood flow relative to cardiac output, ratio of superior vena caval (SVC) to inferior vena caval (IVC) blood flow, position of the SVC cannula relative to the cavo-atrial junction, and orientation of the return cannula relative to the tricuspid valve had major influences (>20%) on recirculation fraction. Factors with a moderate influence on recirculation fraction (5%-20%) include heart rate, return cannula diameter, and direction of extracorporeal flow. Minimal influence on recirculation (<5%) was associated with atrial volume, position of the IVC cannula relative to the cavo-atrial junction, the number of side holes in the return cannula, and blood viscosity.

关键词： venovenous extracorporeal membrane oxygenation recirculation computational fluid dynamics fluid-structure interaction finite element method

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Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2021年 81卷 634-648页

作者： Kamensky, David Univ Calif San Diego Dept Mech & Aerosp Engn 9500 Gilman DrMail Code 0411 La Jolla CA 92093 USA

We recently developed the open-source library tIGAr, which extends the FEniCS finite element automation framework to isogeometric analysis. The present contribution demonstrates the utility of tIGAr in complex problems by applying it to immersogeometric fluid-structure interaction (FSI) analysis. This application is implemented as the new open-source library CouDALFISh (Coupling, via Dynamic Augmented Lagrangian, of fluids with Immersed Shells, pronounced "cuttlefish"), which uses the dynamic augmented Lagrangian (DAL) method to couple fluid and shell structure subproblems. The DAL method was introduced previously, over a series of papers largely focused on heart valve FSI, but an open-source implementation making extensive use of automation to compile numerical routines from high-level mathematical descriptions brings newfound transparency and reproducibility to these earlier developments on immersogeometric FSI analysis. The portions of CouDALFISh that do not use code generation also illustrate how a framework like FEniCS remains useful even when some functionality is outside the scope of its standard workflow. This paper summarizes the workings of CouDALFISh and documents a variety of benchmarks demonstrating its accuracy. Although the implementation emphasizes transparency and extensibility over performance, it is nonetheless demonstrated to be sufficient to simulate 3D FSI of an idealized aortic heart valve. Source code will be maintained at https://***/david-kamensky/CouDALFISh. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Isogeometric analysis fluid-structure interaction Immersed boundary Open-source software FEniCS Heart valve

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In Vivo Based fluid-structure interaction Biomechanics of the Left Anterior Descending Coronary Artery

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JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME 2021年第8期143卷 081001页

作者： Carpenter, Harry J. Gholipour, Alireza Ghayesh, Mergen H. Zander, Anthony C. Psaltis, Peter J. Univ Adelaide Sch Mech Engn Adelaide SA 5005 Australia South Australian Hlth & Med Res Inst SAHMRI Vasc Res Ctr Lifelong Hlth Theme Adelaide SA 5000 Australia Univ Adelaide Adelaide Med Sch Adelaide SA 5000 Australia Cent Adelaide Local Hlth Network Dept Cardiol Adelaide SA 5000 Australia

A fluid-structure interaction-based biomechanical model of the entire left anterior descending coronary artery is developed from in vivo imaging via the finite element method in this paper. Included in this investigation is ventricle contraction, three-dimensional motion, all angiographically visible side branches, hyper/viscoelastic artery layers, non-Newtonian and pulsatile blood flow, and the out-of-phase nature of blood velocity and pressure. The fluid-structure interaction model is based on in vivo angiography of an elite athlete's entire left anterior descending coronary artery where the influence of including all alternating side branches and the dynamical contraction of the ventricle is investigated for the first time. Results show the omission of side branches result in a 350% increase in peak wall shear stress and a 54% decrease in von Mises stress. Peak von Mises stress is underestimated by up to 80% when excluding ventricle contraction and further alterations in oscillatory shear indices are seen, which provide an indication of flow reversal and has been linked to atherosclerosis localization. Animations of key results are also provided within a video abstract. We anticipate that this model and results can be used as a basis for our understanding of the interaction between coronary and myocardium biomechanics. It is hoped that further investigations could include the passive and active components of the myocardium to further replicate in vivo mechanics and lead to an understanding of the influence of cardiac abnormalities, such as arrythmia, on coronary biomechanical responses.

关键词： fluid-structure interaction biomechanics coronary artery angiography side branch ventricle contraction athlete's heart

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