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A new finite element formulation unifying fluid-structure and fluid-fluid interaction problems

JOURNAL OF NON-NEWTONIAN fluid MECHANICS 2025年 336卷

作者： Moschopoulos, P. Dimakopoulos, Y. Tsamopoulos, J. Univ Patras Dept Chem Engn Lab Fluid Mech & Rheol Patras Greece

When the accurate simulation of two materials that interact through their common and deformable interface is of interest, the efficient treatment of the interface determines the success or failure of a numerical method. In this work, we propose a new, robust and easy-to-code finite element formulation for such interaction problems. The remedy of the interface constraints, namely the continuity of velocities and stresses, is accomplished using a single-node approach and the same continuous basis functions for the velocities in both materials. Given that only Newtonian fluids will be examined, we do not have to introduce basis functions for the stress components. The XFEM method, which enriches locally the continuous basis function of a variable that presents a discontinuity, is employed to tackle the discontinuous behavior of the pressure across the interface. The incorporation of Petrov-Galerkin stabilization schemes enhances further our formulation and allows the usage of equal order interpolants for velocities and pressure. We solve the coupled system of equations in a monolithic manner to alleviate the convergence problems of the segregated approach. The novel aspect of our method is that its ingredients do not differentiate based on the constituent materials of the problem, and it can be used interchangeably for either a fluid-structure or a fluid-fluid interaction problem. The accuracy of the new finite element formulation is assessed by comparing its numerical results to those of the literature in three problems: i) the flow through a partially collapsible channel, ii) the induced motion of a flexible elastic plate, iii) the filament stretching of a Newtonian thread surrounded by another immiscible viscous fluid. In all cases, we are in agreement with the results of the literature. Furthermore, we conduct a challenging, 3D simulation for a setup that resembles the motion of a three-leaflet stented aortic heart valve.

关键词： fluid-structure interaction fluid-fluid interaction XFEM Stabilized finite element formulations

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NEW QUASI-MONOLITHIC METHOD TO SOLVE DYNAMIC fluid-structure interaction PROBLEMS ON MEMBRANES 7

NEW QUASI-MONOLITHIC METHOD TO SOLVE DYNAMIC FLUID-STRUCTURE...

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VII International Conference on Textile Composites and Inflatable structures

作者： Gross, David Lothode, Corentin Durand, Mathieu Roux, Yann Co K Epsilon 300 Route Cretes F-06905 Sophia Antipolis France

ISBN: (纸本)9788494424489

We present a new algorithm based on a quasi-monolithic approach to solve strongly coupled fluid-structure interaction problems. This approach is an implicit coupling adapted to a partitioned solver while conserving the property of convergence and stability of the monolithic approach(1). The coupling is done between a finite element program ARA developed by K-Epsilon and the Reynolds-averaged Navier-Stokes code, ISIS-CFD, part of the commercial software FINE/Marine (TM). The fluid mesh is deformed using a fast, robust and parallelized method which propagates the deformation state. The mesh deformation is taken into account through the ALE method. Validation of the coupling was performed against the experimental results of a flapping membrane. Application of the coupling is made to compare the unsteady flying stability of two downwind sails using an automatic trimming algorithm. Future application to a respiring tube is discussed.

关键词： fluid-structure interaction Sails Quasi-monolithic

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NUMERICAL STUDY OF fluid-structure interaction WITH MACRO-SCALE PARTICLE METHODS 4

NUMERICAL STUDY OF FLUID-STRUCTURE INTERACTION WITH MACRO-SC...

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IV International Conference on Particle-based Methods (PARTICLES 2015)

作者： Zhou, Guangzheng Chinese Acad Sci Inst Proc Engn State Key Lab Multiphase Complex Syst Beijing 100190 Peoples R China

ISBN: (纸本)9788494424472

The problems of fluid-structure interaction (FSI) are often encountered in different industries as well as the nature. The macro-scale particle methods are advantageous in the FSI simulations, which include smoothed particle hydrodynamics (SPH), macro-scale pseudo-particle modelling (MaPPM), and so forth. Compared with the grid-based numerical techniques, particle methods could provide the flow and/or deformation details without complex tracking of interfaces. The progress of FSI simulation of multiphase flows with rigid particles is presented, and some major findings about heterogeneous structures are stressed. Meanwhile, weakly compressible outflow from elastic tube is investigated, and some preliminary results of flow details are presented. The possible development of macro-scale particle methods in the FSI simulation is prospected finally.

关键词： fluid-structure interaction Particle methods Smoothed particle hydrodynamics Macro-scale pseudo-particle modelling Gas-solid suspension Outflow

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Numerical Research on Segmented Flexible Airfoils Considering fluid-structure interaction

Numerical Research on Segmented Flexible Airfoils Considerin...

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Asia-Pacific International Symposium on Aerospace Technology (APISAT)

作者： Dong Hefeng Wang Chenxi Li Shaobin Song Xi Zhen Beihang Univ Sch Energy & Power Engn Natl Key Lab Aeroengines Beijing 100191 Peoples R China

This paper investigated four kinds of segmented flexible airfoils with membrane material on the upper surface and rigid structure on the lower surface. fluid-structure interaction method was adopted in the numerical simulation for the aerodynamic characteristics and response between flow field and structure of the segmented flexible airfoils. The research focuses on influence of flexible deformation on the lift and drag characteristics and the aerodynamic load distribution of four segmented flexible airfoils at Reynolds number of 1.35x10(5). The results show that the segmented flexible airfoils perform a higher maximum lift coefficient, and effectively delay the stall. At the higher angles of attack, the deformation of the flexible thin membrane could reduce the scale of the separation vortexes. Meanwhile the tiny vortex generated between the flexible segments with the effect called "fluid Roller Bearing" would impel the separated boundary layer to reattach to the airfoil surface especially on the first half chord region. The three-segment flexible airfoil was proved to be the best airfoil among the four airfoils, which could increase the lift coefficient by 39% near the stall angle of attack compared with its rigid counterpart. (C) 2015 Published by Elsevier Ltd.

关键词： fluid-structure interaction distribution forms flexible airfoil aerodynamic characteristics

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A mechanically consistent unified formulation for fluid-porous-structure-contact interaction

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2024年 425卷 116942页

作者： Gerosa, Fannie M. Marsden, Alison L. Stanford Univ Dept Bioengn Stanford CA 94305 USA Stanford Univ Inst Computat & Math Engn Stanford CA USA Stanford Univ Cardiovasc Inst Stanford CA USA Stanford Univ Pediat Cardiol Stanford CA USA

fluid-structure interaction with contact poses profound mathematical and numerical challenges, particularly when considering realistic contact scenarios and the influence of surface roughness. Computationally, contact introduces challenges in altering the fluid domain topology and preserving stress balance. This work introduces a new mathematical framework for a unified continuum description of fluid -porous -structure -contact interaction (FPSCI), leveraging the Navier-Stokes-Brinkman (NSB) equations to incorporate porous effects within the surface asperities in the contact region. Our approach maintains mechanical consistency during contact, circumventing issues associated with contact models and complex interface coupling conditions, allowing for the modeling of tangential creeping flows due to surface roughness. The unified continuum and variational multiscale formulation ensure robustness by enabling stable and unified integration of fluid, porous, and solid sub -problems. Computational efficiency and ease of implementation - key advantages of our approach - are demonstrated by solving two benchmark problems of a falling ball and an idealized heart valve. This research has broad implications for fields reliant on accurate fluid-structure interactions and promising advancements in modeling and numerical simulation techniques.

关键词： fluid-structure interaction fluid-porous interaction Contact Unified formulation

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IVUS-based fluid-structure interaction models for novel plaque vulnerability indices: a study in patients with coronary artery disease 7

IVUS-based fluid-structure interaction models for novel plaq...

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7th International Conference on fluid Mechanics

作者： Wang, Liang Meahara, Akiko Yang, Chun Zheng, Jie Bach, Richard Muccigrosso, David Mintz, Gary S. Tang, Dalin Worcester Polytech Inst Dept Math Sci Worcester MA 01609 USA Columbia Univ Cardiovasc Res Fdn New York NY 10022 USA China United Network Commun Co Ltd Network Technol Res Inst Beijing 100048 Peoples R China Washington Univ Mallinckrodt Inst Radiol St Louis MO 63110 USA Washington Univ Sch Med Div Cardiovasc St Louis MO 63110 USA Southeast Univ Nanjing 210096 Jiangsu Peoples R China

It is believed that mechanical stresses play an important role in atherosclerotic plaque rupture process and may be used for better plaque vulnerability assessment and rupture risk predictions. IVUS data were acquired from 14 patients (11M, 3F, Mean age: 59,) for constructing 3D computational models combining fluid-structure interaction (FSI), cyclic bending due to cardiac contraction and patient-specific pressure loading to quantify mechanical conditions in the human coronary. The computational models were solved by a finite element package ADINA to obtain plaque wall stress (PWS), strain (PWSn) and flow shear stress (FSS) and investigate correlation between the mechanical conditions and morphological characteristics. For all 617 IVUS slices yielded from the 14 patients, plaque morphological features lipid percentage and min cap thickness were calculated for each slice, and three types of plaque morphology related indices: lipid index, cap index and morphological index (MPVI) were introduced as quantitative measures of plaque vulnerability. PWS, PWSn and FSS values at critical sites were denoted as critical plaque wall stress (CPWS), critical plaque wall strain (CPWSn) and critical flow shear stress (CFSS) for each slice, and a stress index was proposed based on the value of the CPWS. The conventional Pearson's correlation is used to analyze the correlation between each of the mechanical conditions and each plaque morphological feature indices. Our results suggest there is significant correlation between the CPWS and min cap thickness, cap index with the correlation coefficient r=-0.6570, r=0.8016 respectively, while the correlation between CPWS and lipid percentage and the lipid index are weaker (r=0.2209, r=0.2304) even though they are significantly correlated. The correlation results between CPWS and morphological index (r=0.7725, p-value<0.0001) showed there is a strong positive relationship between the mechanical stress and morphological features. For all 617

关键词： Coronary plaque morphological index fluid-structure interaction plaque rupture plaque progression IVUS

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ON IN-SITU VISUALIZATION FOR STRONGLY COUPLED PARTITIONED fluid-structure interaction 6

ON IN-SITU VISUALIZATION FOR STRONGLY COUPLED PARTITIONED FL...

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6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS)

作者： Fernandes, Oliver Blom, David S. Frey, Steffen Van Zuijlen, Alexander H. Bijl, Hester Ertl, Thomas Univ Stuttgart VISUS Allmandring 19 D-70569 Stuttgart Germany Delft Univ Technol Fac Aerosp Engn NL-2629 HT Delft Netherlands

ISBN: (纸本)9788494392832

We present an integrated in-situ visualization approach for partitioned multi-physics simulation of fluid-structure interaction. The simulation itself is treated as a black box and only the information at the fluid-structure interface is considered, and communicated between the fluid and solid solvers with a separate coupling tool. The visualization of the interface data is performed in conjunction with the fluid solver. Furthermore, we present new visualization techniques for the analysis of the interrelation of the two solvers, with emphasis on the involved error due to discretization in space and time and the reconstruction. Our visualization approach also enables the investigation of these errors with respect of their mutual influence on the two simulation codes and their space-time discretization. For efficient interactive visualization, we employ the concept of explorable spatiotemporal images, which also enables finite-time temporal navigation in an in-situ context. We demonstrate our overall approach and its utility by means of a fluid-structure simulation using OpenFOAM that is coupled by the preCICE software layer.

关键词： in-situ visualization fluid-structure interaction multi-physics

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A fluid-structure interaction Analysis of the Spring-Loaded Pressure Safety Valve during Popping Off 14th

A Fluid-Structure Interaction Analysis of the Spring-Loaded ...

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14th International Conference on Pressure Vessel Technology (ICPVT)

作者： Song, X. G. Wang, L. T. Park, Y. C. Sun, W. Dalian Univ Technol Sch Mech Engn Dalian 116024 Peoples R China Dong A Univ Sch Mech Engn Busan 604714 South Korea

Many industrial engineering problems require fluid-structure interaction (FSI) analysis and dynamics analysis to improve functionality or operational performance. One such problem is the popping off of pressure safety valve (PSV) widely used in pressure vessels and pipes. Popping off of a spring-loaded pressure safety valve (PSV) is crucial to prevent the pressure vessel or pipe from overpressure. It's difficult to observe the dynamics of the valve disc as well as the flow characteristics through the small chamber between the valve disc and valve seat over such a remarkable short period in the past. To address this issue, a transient computational fluid dynamics (CFD) model with moving grid technique has been presented in this work. Fine structure grid has been generated over the whole flow domain to ensure that the valve disc can move freely and continuously without negative volume problem. Two types of time-dependent overpressure are given to simulate the popping of the PSV under different overpressure conditions. Response parameters such as the displacement of the disc, fluid force on the disc and the blowdown value are monitored to see their influence on the popping of the valve. The results are helpful to improve the popping action of the valve in design stage, and demonstrate the availability and efficiency of using transient CFD simulation in the popping analysis of spring-loaded PSV. (C) 2015 The Authors. Published by Elsevier Ltd.

关键词： Pressure safety valve fluid-structure interaction Popping Off CFD Transient analysis Moving Grid

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COMPARISON OF COUPLED EULER-LAGRANGE AND SMOOTHED PARTICLE HYDRODYNAMICS IN fluid-structure interaction 6

COMPARISON OF COUPLED EULER-LAGRANGE AND SMOOTHED PARTICLE H...

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6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS)

作者： Zehetner, Christian Schoergenhumer, Markus Hammelmueller, Franz Humer, Alexander Linz Ctr Mechatron GmbH Altenbergerstr 69 A-4040 Linz Austria

ISBN: (纸本)9788494392832

In this paper a fluid-structure interaction problem is investigated, in which fluid flow and flexible deformations of structures are coupled. Exemplarily, the collision of a moving deformable water-filled container with a rigid wall is considered. Two simulation methods are compared to analyze the impact: the Coupled Euler-Lagrange Finite Element Method (CEL) and Smoothed Particle Hydrodynamics Analysis (SPH). On the other hand, the solutions of two software packages are compared, the commercial Finite Element code Abaqus (CEL, SPH) and the open source package HOTINT/ LIGGGHTS (SPH). Goal is to find the various advantages and disadvantages of the two simulation methods and the two software codes.

关键词： fluid-structure interaction Smoothed Particle Hydrodynamics (SPH) Coupled Euler-Lagrange Finite Element Method (CEL)

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A COMPARISON OF VARIOUS QUASI-NEWTON SCHEMES FOR PARTITIONED fluid-structure interaction 6

A COMPARISON OF VARIOUS QUASI-NEWTON SCHEMES FOR PARTITIONED...

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6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS)

作者： Lindner, Florian Mehl, Miriam Scheufele, Klaudius Uekermann, Benjamin Univ Stuttgart Inst Parallel & Distributed Syst Univ Str 38 D-70569 Stuttgart Germany Tech Univ Munich IAS D-85748 Garching Germany

ISBN: (纸本)9788494392832

During the last 5 years, quasi-Newton schemes have proven to be a robust and efficient way to couple partitioned fluid-structure interaction. We showed in previous work that they also allow to perform a parallel coupling. Bogaers et al. introduced a new variant based on a multi-vector update [14]. This variant renders a tuning of the reuse of old information unnecessary as all old iterations are implicitly covered in a Jacobian update. In this work, we compare this multi-vector variant in an inverse formulation to the classical IQN-ILS algorithm for serial as well as parallel coupling.

关键词： fluid-structure interaction Quasi-Newton Partitioned Coupling

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