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A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction

JOURNAL OF COMPUTATIONAL PHYSICS 2023年第1期490卷

作者： Bucelli, Michele Gabriel, Martin Geraint Quarteroni, Alfio Gigante, Giacomo Vergara, Christian Politecn Milan Dipartimento Matemat MOX Pzza Leonardo Vinci 32 I-20133 Milan Italy Politecn Milan Dipartimento Chim Materiali & Ingn Chim Giulio Nat LABS Pzza Leonardo Vinci 32 I-20133 Milan Italy Ecole Polytech Fed Lausanne Math Inst Av Piccard CH-1015 Lausanne Switzerland Univ Bergamo Dipartimento Ingn Gestionale Informaz & Prod Viale Marconi 5 I-24044 Dalmine BG Italy

We present a loosely coupled scheme for the numerical simulation of the cardiac electrofluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the different submodels. Our scheme relies on a segregated treatment of the subproblems, in particular on an explicit Robin-Neumann algorithm for the fluid-structure interaction, aiming at reducing the computational burden of numerical simulations. The results, both in an ideal and a realistic cardiac setting, show that the proposed scheme is stable at the regimes typical of cardiac simulations. From a comparison with a scheme with implicit fluid-structure interaction, it emerges that, while conservation properties are not fully preserved, computational times significantly benefit from the explicit scheme. Overall, the explicit discretization represents a good trade-off between accuracy and cost, and is a valuable alternative to implicit schemes for fast largescale simulations. & COPY;2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by-nc -nd /4 .0/).

关键词： Cardiac modeling Multiphysics Electromechanics fluid-structure interaction Robin-Neumann interface conditions

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Studying the fluid-structure interaction in a Computational Model of the Human Eye During Non Contact Tonometry Tests 30th

Studying the Fluid-Structure Interaction in a Computational ...

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30th International conference on The Digital Transformation in the Graphic Engineering, INGEGRAF 2021

作者： de la Caridad Núñez-Chongo, Osiris Muñoz-Villaescusa, Claudia Batista-Leyva, Alfo José Cavas-Martínez, Francisco Higher Institute of Technologies and Applied Sciences University of Havana Ave. Salvador Allende 1110 Plaza de La Revolución Havana10400 Cuba Technical University of Cartagena Cartagena Spain

ISBN: (纸本)9783030924256

Non contact tonometry (NCT) is a non invasive technique that measures intraocular pressure (IOP), which is one possible way to evaluate the biomechanical behavior of the cornea in vivo and an alternative to determine corneal material parameters. An accurate and reliable numerical model of the non contact tonometry test is required to further understand the eyes response mechanism in accordance with IOP action and the tonometer’s air puff. This work developed a model of the human eye based on the finite element (FE) method, a Computational fluid Dynamics (CFD) simulation of air jet and a fluid-structure interaction (FSI) model by Two-Way dynamic coupling between both systems. A mesh with optimal element densities and good meshing quality was generated. Then, the stress-free geometry of the eyeball was obtained according to IOP loading. As the airflow was selected as incompressible and turbulent during testing, the Spalart-Allmaras turbulence model was included. During the CFD simulation of the air domain, a mesh was generated, with good meshing quality and an estimated time step of 0.0001 s, which allowed reliable results to be obtained at a lower computational cost during this transient analysis. A FSI model was implemented that reproduces the air jet outflow up to its incidence with the corneal surface. A qualitative correspondence was found of the clinical CorVis ST images and the different instances of cornea deformation during simulation. This FSI model between the air puff and the human eye can be considered a starting point to analyze some biomechanical corneal properties during NCT testing for future research purposes. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

关键词： Computational fluid Dynamics CorVis ST Finite element modeling fluid-structure interaction Intraocular pressure Ocular biomechanics

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Numerical investigation of drag reduction characteristics of flexible plate based on two way fluid-structure interaction

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OCEAN ENGINEERING 2023年第1期271卷

作者： Li, Yongcheng Zhang, Hua Zhang, Nan Lia, Yinghua Pan, Ziying Sun, Hailang China Ship Sci Res Ctr Sci Res Dept Hydrodynam Wuxi 214082 Peoples R China Taihu Lab Deepsea Technol Sci Wuxi 214082 Peoples R China

To investigate the drag reduction characteristics of a flexible plate, a numerical simulation analysis was per-formed on the relationships of flexibility and thickness of a flexible plate on the effect of drag reduction. To accurately demonstrate the mutual interaction between flexible and fluid flows and capture the moving boundary of the plate, a bidirectional fluid-structure interaction (FSI) method was developed. The numerical results demonstrated that the flexible plate played a positive role in drag reduction. The drag reduction effect could be improved by increasing the flexibility of the plate or decreasing its thickness. Moreover, the pressure-difference resistance acting on the flexible plate was negative, indicating that the existence of pressure resistance was favorable for drag reduction. Further, the numerical results revealed that the real contribution to the drag reduction lay at the middle part of the flexible plate, i.e., the part with the significant deformation, whereas the parts with small deformation exerted little effect on the drag reduction. The conclusions from this study can provide guidance for future investigation of FSI problem and flexible surface-drag-reduction technology.

关键词： Flexible plate Drag reduction fluid-structure interaction Numerical investigation

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A memory-efficient MultiVector Quasi-Newton method for black-box fluid-structure interaction coupling

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COMPUTERS & structureS 2023年 275卷

作者： Zorrilla, R. Rossi, R. Univ Politecn Catalunya UPC Dept Engn Civil & Ambiental DECA Jordi Girona 1 Barcelona 08034 Spain Int Ctr Numer Methods Engn CIMNE Gran Capita s-n Barcelona 08034 Spain

In this work we present a novel Quasi-Newton technique for the black-box partitioned coupling of inter-face coupled problems. The new RandomiZed Multi-Vector Quasi-Newton method stems from the com-bination of the original Multi-Vector Quasi-Newton technique with the randomized Singular Value Decomposition algorithm, avoiding thus any dense DOFs-sized square matrix operation. This results in a reduction from quadratic to linear complexity in terms of the number of DOFs. Besides this, the need of storing the old inverse Jacobian is also avoided. Instead, only two very "thin" matrices are required to be saved, thus implying a much smaller memory footprint. Furthermore, our proposal can be used free of any user-defined parameter. The article describes the application of the method to the FSI interface residual equations in both Interface Quasi-Newton and Interface Block Quasi-Newton forms. For the lat-ter, we also derive a closed form expression for the update, thus avoiding any linear system of equations resolution, by applying the Woodbury matrix identity to the inverse Jacobian decomposition matrices.

关键词： fluid-structure interaction Quasi -Newton methods Black-box coupling Randomized Singular Value Decomposition

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Vibration Characteristic Analysis of Hollow Fiber Membrane for Air Dehumidification Using fluid-structure interaction

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MEMBRANES 2023年第2期13卷 233-233页

作者： Liang, Caihang Chen, Jiaxing Li, Nanfeng Dong, Yanfang Zhong, Tao Zeng, Si Dong, Chuanshuai Guilin Univ Elect Technol Sch Mech & Elect Engn Guangxi Dept Educ Key Lab Microelect Packaging & Assembly Technol Guilin 541004 Peoples R China Dongguan Univ Technol Guangdong Prov Key Lab Distributed Energy Syst Dongguan 523808 Peoples R China Guilin Univ Aerosp Technol Sch Energy & Built Environm Guilin 541004 Peoples R China Nanning Coll Vocat Technol Dept Sci & Technol Nanning 530008 Peoples R China Guangxi Beitou Environm Protect & Water Grp Co Ltd Nanning 530025 Peoples R China South China Univ Technol Sch Chem & Chem Engn Key Lab Enhanced Heat Transfer & Energy Conservat Educ Minist Guangzhou 510641 Peoples R China

Hollow fiber membrane dehumidification is an effective and economical method of air dehumidification. The hollow fiber membrane module is the critical component of the dehumidification system, which is formed by an arrangement of several hollow fiber membranes. The air stream crosses over the fiber bundles when air dehumidification is performed. The fibers vibrate with the airflow. To investigate the characteristics of the fluid-induced vibration of the hollow fiber membrane, the two-way fluid-structure interaction model under the air-induced condition was established and verified by experiments. The effect of length and air velocity on the vibration and modal of a single hollow fiber membrane was studied, as well as the flow characteristics using the numerical simulation method. The results indicated that the hollow fiber membrane was mainly vibrated by fluid impact in the direction of the airflow. When the air velocity was 1.5 m/s similar to 6 m/s and the membrane length was 100 similar to 400 mm, the natural frequency of the membrane was negatively correlated with length and positively correlated with air velocity. Natural frequencies were more sensitive to changes in length than changes in air velocity. The maximum equivalent stress and total deformation increased with air velocity and length. The maximum equivalent stress was concentrated at both ends, and the maximum deformation occurred in the middle. The research results provided a basis for the structural design of hollow fiber membranes under flow-induced vibration conditions.

关键词： hollow fiber membrane fluid-structure interaction modal vibration

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Linear stability analysis of fluid-structure interaction problems with an immersed boundary method

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JOURNAL OF fluidS AND structureS 2023年第1期117卷

作者： Tirri, Antonia Nitti, Alessandro Sierra-Ausin, Javier Giannetti, Flavio de Tullio, Marco D. Polytech Univ Bari Dept Mech Math & Management Via Re David 200 I-70125 Bari Italy Univ Salerno Dept Ind Engn Via Giovanni Paolo 2132 I-84084 Fisciano Italy Inst Mecan Fluides Toulouse IMFT 2 Allee Pr Camille Soula F-31400 Toulouse France

In this work, we present a novel approach to perform the linear stability analysis of fluid-structure interaction problems. The underlying idea is the combination of a validated immersed boundary solver for the nonlinear coupled dynamics with Krylovbased techniques to obtain a robust and accurate global stability solver for elastic structures interacting with incompressible viscous flows. The computation of the leading eigenvalues of the linearized system is carried out in a matrix-free framework by adopting a classical Krylov subspace method. The proposed algorithm avoids the complex analytical linearization of the equations while retaining all the relevant aspects of the fully-coupled fluid-structure system. The methodology has been tested for several cases involving two-dimensional incompressible flows around elastically mounted circular cylinders. The obtained results show a good quantitative agreement with those available in the literature. Finally, the method was applied to investigate the linear stability of the laminar flow past two elastically mounted cylinders in tandem configuration at Re = 100, revealing the existence of two complex dominant modes. For low values of the reduced velocity U*, only one mode is found to be unstable and related to the stationary wake mode. The loss of stability of the second mode at U* = 4 marks the beginning of the lock-in region. We also show that for U* = 5 the modes interact, giving rise to the beating phenomenon observable in the nonlinear time evolution of the system. For larger values of the reduced velocity, the linear dynamics is governed by one dominant mode characterized by wider oscillations of the rear cylinder, matching the results of the nonlinear simulations.(c) 2022 Elsevier Ltd. All rights reserved.

关键词： Linear stability analysis Immersed-boundary method fluid-structure interaction Jacobian-free methods

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Time-adaptive partitioned method for fluid-structure interaction problems with thick structures

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JOURNAL OF COMPUTATIONAL PHYSICS 2023年 473卷

作者： Bukac, Martina Fu, Guosheng Seboldt, Anyastassia Trenchea, Catalin Univ Notre Dame Dept Appl & Computat Math & Stat Notre Dame IN 46556 USA Univ Pittsburgh Dept Math Pittsburgh PA 15260 USA

In this paper, we present a partitioned numerical scheme for solving fluid-structure interaction (FSI) problems based on the adaptive time-stepping. The viscous, incompressible fluid is described using the Navier-Stokes equations expressed in an Arbitrary Lagrangian Eulerian (ALE) form while the elastic structure is modeled using elastodynamic equations. We implement a partitioned scheme based on the Robin-Robin coupling conditions at the interface, combined with the refactorization of Cauchy's one-legged theta-like method with adaptive time-stepping. The method is unconditionally stable, and for theta = 12, it corresponds to the midpoint rule, which is conservative and second-order convergent in time. The focus of this paper is to study the time-adaptivity properties of the proposed method, and to explore the parameters used in the variable time-stepping. The adaptive process is based on the local truncation error (LTE), for computation of which we consider two methods: Milne's device using a modified Adams-Bashforth two-step method, and Taylor's method. The performance of the method is explored in numerical examples, where the adaptive approach is compared to the one where a fixed time step is used. We present an example based on the method of manufactured solutions, where the effect of different parameters is studied, followed by a classical benchmark problem of a flow around a rigid cylinder attached to a nonlinearly elastic bar inside a two-dimensional channel. Finally, we present a three-dimensional, simplified example of blood flow in a compliant artery.(c) 2022 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Adaptive time-stepping Partitioned scheme Second-order convergence Strongly-coupled

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Adaptive time multiscale algorithms for fluid-structure interaction with impacts- Application to a row of PWR fuel assemblies under seismic loading

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ANNALS OF NUCLEAR ENERGY 2023年第1期193卷

作者： Faucher, V. Ricciardi, G. CEA Ctr Cadarache Nucl Technol Dept DESIRESNE F-13108 St Paul Les Durance France

The present article is dedicated to numerical methods for the simulation of the response of PWR fuel assemblies under external mechanical loading such as earthquakes. It proposes new algorithms to manage impact sequences within the time multiscale resolution of a strongly coupled fluid-structure partitioned problem. Preserving the computational efficiency imposes an adaptive strategy to adjust the time scale to force the solution of the costly pressure problem for the fluid only when it is necessary to account for the brutal variations in the structure acceleration resulting from significant impacts. The adaptation criteria must be built upon a thorough monitoring and characterization of all impacts, including the duration of the flight sequence before it occurs and the relative velocity between impact entities. Finally, solutions to mitigate the consequences of missed and unresolved impacts in time are provided to avoid spurious amplification of the variation of the acceleration under impact in the fluid velocity field through the time integration scheme. This leads to two classes of adaptive time multiscale algorithms, extensively tested and qualified through two chosen cases of growing complexity. The paper is completed by a full experimental validation of the proposed fluid-structure framework with contact and impacts, using the results available for a row of six fuel scale assembly immersed in water and submitted to a seismic excitation on a shaking table.

关键词： fluid-structure interaction Impacts PWR assemblies Adaptive time multi-scale algorithms

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Shape Gradient Methods for Shape Optimization of an Unsteady Multiscale fluid-structure interaction Model

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JOURNAL OF GEOMETRIC ANALYSIS 2024年第8期34卷 245-245页

作者： Zhang, Keyang Zhu, Shengfeng Li, Jiajie Yan, Wenjing East China Normal Univ Sch Math Sci Shanghai 200241 Peoples R China East China Normal Univ Key Lab MEA Minist Educ Shanghai 200241 Peoples R China East China Normal Univ Shanghai Key Lab PMMP Shanghai 200241 Peoples R China Shanghai Jiao Tong Univ Sch Math Sci Shanghai 200240 Peoples R China Xi An Jiao Tong Univ Sch Math & Stat Xian 710049 Shaanxi Peoples R China

We consider numerical shape optimization of a fluid-structure interaction model. The constrained system involves multiscale coupling of a two-dimensional unsteady Navier-Stokes equation and a one-dimensional ordinary differential equation for fluid flows and structure, respectively. We derive shape gradients for both objective functionals of least-squares type and energy dissipation. The state and adjoint state equations are numerically solved on the time-dependent domains using the Arbitrary-Lagrangian-Eulerian method. Numerical results are presented to illustrate effectiveness of algorithms.

关键词： Shape optimization fluid-structure interaction Finite element method Shape gradient

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fluid-structure interaction with H(div)-conforming finite elements

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COMPUTERS & structureS 2021年 243卷 106402-106402页

作者： Neunteufel, Michael Schoberl, Joachim Tech Univ Wien Inst Anal & Sci Comp Wiedner Hauptstr 8-10 A-1040 Vienna Austria

In this paper a novel application of the (high-order) H(div)-conforming Hybrid Discontinuous Galerkin finite element method for monolithic fluid-structure interaction (FSI) is presented. The Arbitrary Lagrangian Eulerian (ALE) description is derived for H(div)-conforming finite elements including the Piola transformation, yielding exact divergence free fluid velocity solutions. The arising method is demonstrated by means of the benchmark problems proposed by Turek and Hron (2006). With hp-refinement strategies singularities and boundary layers are overcome leading to optimal spatial convergence rates. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Arbitrary Lagrangian Eulerian Divergence free velocity Hybrid discontinuous Galerkin Hp finite element method

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