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A reduced mesh movement method based on pseudo elastic solid for fluid-structure interaction

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 2018年第6期232卷 973-986页

作者： Zhong, Jize Xu, Zili Xi An Jiao Tong Univ State Key Lab Strength & Vibrat Mech Struct 28 Xianning West Rd Xian 710049 Shaanxi Peoples R China

A reduced mesh movement method based on pseudo elastic solid is developed and applied in fluid-structure interaction problems in this paper. The flow mesh domain is assumed to be a pseudo elastic solid. The vibration equation for the structure and the pseudo elastic solid together is derived by applying the displacement continuity condition on the fluid-structure interface. Considering that the actual fluid-structure coupled vibration for structures often appears to be associated with low-order modes, the nodal displacements for the structure and the flow mesh can be computed using the modal superposition of a few low-order modes. Coupled fluid-structure computations are performed for flutter problems of a beam and wing 445.6 using the present method. The calculated results are consistent with the data reported in other references. The computing time is reduced by 65.5% for the beam flutter and 54.8% for the wing flutter compared with the pre-existing elastic solid method.

关键词： fluid-structure interaction mesh movement pseudo elastic solid reduced mesh movement method flutter

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A weak-coupling immersed boundary method for fluid-structure interaction with low density ratio of solid to fluid

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JOURNAL OF COMPUTATIONAL PHYSICS 2018年 359卷 296-311页

作者： Kim, Woojin Lee, Injae Choi, Haecheon Seoul Natl Univ Dept Mech & Aerosp Engn Seoul 08826 South Korea

We present a weak-coupling approach for fluid-structure interaction with low density ratio (rho) of solid to fluid. For accurate and stable solutions, we introduce predictors, an explicit two-step method and the implicit Euler method, to obtain provisional velocity and position of fluid-structure interface at each time step, respectively. The incompressible Navier-Stokes equations, together with these provisional velocity and position at the fluidstructure interface, are solved in an Eulerian coordinate using an immersed-boundary finite-volume method on a staggered mesh. The dynamic equation of an elastic solid-body motion, together with the hydrodynamic force at the provisional position of the interface, is solved in a Lagrangian coordinate using a finite element method. Each governing equation for fluid and structure is implicitly solved using second-order time integrators. The overall second-order temporal accuracy is preserved even with the use of lower-order predictors. A linear stability analysis is also conducted for an ideal case to find the optimal explicit two-step method that provides stable solutions down to the lowest density ratio. With the present weak coupling, three different fluid-structure interaction problems were simulated: flows around an elastically mounted rigid circular cylinder, an elastic beam attached to the base of a stationary circular cylinder, and a flexible plate, respectively. The lowest density ratios providing stable solutions are searched for the first two problems and they are much lower than 1 (rho(min)= 0.21and 0.31, respectively). The simulation results agree well with those from strong coupling suggested here and also from previous numerical and experimental studies, indicating the efficiency and accuracy of the present weak coupling. (C) 2018 Elsevier Inc. All rights reserved.

关键词： Weak coupling Predictor fluid-structure interaction Immersed boundary method Low density ratio

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A semi-implicit coupling technique for fluid-structure interaction problems with strong added-mass effect

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JOURNAL OF fluidS AND structureS 2018年 80卷 94-112页

作者： Naseri, Alireza Lehmkuhl, Oriol Gonzalez, Ignacio Bartrons, Eduard David Perez-Segarra, Carlos Oliva, Assensi Univ Politecn Catalunya BarcelonaTech UPC Heat & Mass Transfer Technol Ctr CTTC ESEIAAT Colom 11 Terrassa 08222 Barcelona Spain

This paper is concerned with the numerical simulation of fluid-structure interaction problems involving an incompressible viscous flow and an elastic structure. A semi-implicit coupling technique is presented which strongly couples the added-mass term of the fluid (pressure stress) to the structure, while the remaining terms are only loosely coupled. A thorough numerical analysis is carried out to verify the accuracy of the proposed method by comparing its results to experimental data and other numerical results from the literature. The performance and accuracy of the proposed method are also compared against a fully implicit coupling technique. Numerical tests show that semi-implicit coupling significantly reduces the computational cost of the simulations without undermining either the stability or the accuracy of the results. The question of implicit or explicit coupling of the dynamic mesh step is addressed by evaluating its effect on the overall accuracy and performance of the semi-implicit method. The implicit coupling of the dynamic mesh step is found to slightly improve the accuracy, while significantly increasing the computational cost. Moreover a comparison is made on the performance of the semi-implicit method with different interface solvers. (C) 2018 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Numerical simulation Partitioned method Semi-implicit coupling

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Immersogeometric fluid-structure interaction modeling and simulation of transcatheter aortic valve replacement

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2019年 357卷 112556-000页

作者： Wu, Michael C. H. Muchowski, Heather M. Johnson, Emily L. Rajanna, Manoj R. Hsu, Ming-Chen Iowa State Univ Dept Mech Engn 2043 Black Engn Ames IA 50011 USA Brown Univ Sch Engn 184 Hope St Providence RI 02912 USA Iowa State Univ Dept Math 396 Carver Hall Ames IA 50011 USA

The transcatheter aortic valve replacement (TAVR) has emerged as a minimally invasive alternative to surgical treatments of valvular heart disease. TAVR offers many advantages, however, the safe anchoring of the transcatheter heart valve (THV) in the patient's anatomy is key to a successful procedure. In this paper, we develop and apply a novel immersogeometric fluid-structure interaction (FSI) framework for the modeling and simulation of the TAVR procedure to study the anchoring ability of the THY. To account for physiological realism, methods are proposed to model and couple the main components of the system, including the arterial wall, blood flow, valve leaflets, skirt, and frame. The THV is first crimped and deployed into an idealized ascending aorta. During the FSI simulation, the radial outward force and friction force between the aortic wall and the THV frame are examined over the entire cardiac cycle. The ratio between these two forces is computed and compared with the experimentally estimated coefficient of friction to study the likelihood of valve migration. (C) 2019 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Immersogeometric analysis Isogeometric beams and shells Transcatheter aortic valve replacement TAVR Bioprosthetic heart valves

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Indirect Traumatic Optic Neuropathy Induced by Primary Blast: A fluid-structure interaction Study

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JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME 2019年第10期141卷 1-7页

作者： Tong, Junfei Kedar, Sachin Ghate, Deepta Gu, Linxia Univ Nebraska Dept Mech & Mat Engn Lincoln NE 68588 USA Univ Nebraska Med Ctr Stanley Truhlsen Eye Inst Omaha NE 68105 USA Univ Nebraska Med Ctr Dept Neurol Sci Omaha NE 68198 USA

Current knowledge of traumatic ocular injury is still limited as most studies have focused on the ocular injuries that happened at the anterior part of the eye, whereas the damage to the optic nerve known as traumatic optic neuropathy (TON) is poorly understood. The goal of this study is to understand the mechanism of the TON following the primary blast through a fluid-structure interaction model. An axisymmetric three-dimensional (3D) eye model with detailed orbital components was developed to capture the dynamics of the eye under the blast wave. Our numerical results demonstrated a transient pressure elevation in both vitreous and cerebrospinal fluid (CSF). A high strain rate over 100 s(-1) was observed throughout the optic nerve during the blast with the most vulnerable part located at the intracanalicular region. The optic nerve deforming at such a high strain rate may account for the axonal damage and vision loss in patients subjected to the primary blast. The results from this work would enhance the understanding of indirect TON and provide guidance in the design of protective eyewear against such injury.

关键词： primary blast indirect traumatic optic neuropathy intraocular pressure cerebrospinal fluid pressure strain rate fluid-structure interaction

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A monolithic mixed finite element method for a fluid-structure interaction problem

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APPLIED MATHEMATICS AND COMPUTATION 2019年 363卷 124615-000页

作者： Bean, Maranda Yi, Son-Young Univ Texas El Paso Computat Sci Program El Paso TX 79968 USA Univ Texas El Paso Dept Math Sci El Paso TX 79968 USA

We propose a numerical method for modeling the interaction of a Stokes fluid and a linear elastic solid. The model problem is expressed in the stress-displacement formulation for the linear elastodynamics in the solid region and the stress-velocity formulation for the Stokes equations in the fluid region. These two systems are coupled in such a way that the interface conditions are imposed naturally in the resulting weak formulation, which is based on the Hellinger-Reissner variational principle. For the time discretization, we use a three-level scheme for each time step, with an exception at the first time step. We provide a priori error analysis for fully-discrete, nonconforming mixed finite element methods and show some numerical results to confirm our theoretical results. (C) 2019 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Mixed finite element method Hellinger-Reissner principle

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Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithm

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2019年第7期35卷 e3208-e3208页

作者： Kong, Fande Kheyfets, Vitaly Finol, Ender Cai, Xiao-Chuan Idaho Natl Lab Modeling & Simulat Idaho Falls ID USA Univ Colorado Denver Sch Med Aurora CO USA Univ Texas San Antonio Dept Mech Engn San Antonio TX USA Univ Colorado Dept Comp Sci Boulder CO 80309 USA

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems but need improvements when the problems become harder when (a) the geometry becomes complex (eg, a few branches to a full pulmonary artery), (b) the model becomes more complex (eg, fluid-only to coupled fluid-structure interaction), (c) both the fluid and wall models become highly nonlinear, and (d) the computer on which we run the simulation is a supercomputer with tens of thousands of processor cores. To push the limit of CFD in all four fronts, in this paper, we develop and study a highly parallel algorithm for solving a monolithically coupled fluid-structure system for the modeling of the interaction of the blood flow and the arterial wall. As a case study, we consider a patient-specific, full size pulmonary artery obtained from computed tomography (CT) images, with an artificially added layer of wall with a fixed thickness. The fluid is modeled with a system of incompressible Navier-Stokes equations, and the wall is modeled by a geometrically nonlinear elasticity equation. As far as we know, this is the first time the unsteady blood flow in a full pulmonary artery is simulated without assuming a rigid wall. The proposed numerical algorithm and software scale well beyond 10 000 processor cores on a supercomputer for solving the fluid-structure interaction problem discretized with a stabilized finite element method in space and an implicit scheme in time involving hundreds of millions of unknowns.

关键词： domain decomposition finite element fluid-structure interaction parallel processing patient-specific pulmonary artery unsteady blood flows

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Analysis of a coupled fluid-structure interaction model of the left atrium and mitral valve

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2019年第11期35卷 e3254-e3254页

作者： Feng, Liuyang Gao, Hao Griffith, Boyce Niederer, Steven Luo, Xiaoyu Univ Glasgow Sch Math & Stat Glasgow Lanark Scotland Univ N Carolina Dept Math Appl Phys Sci & Biomed Engn Chapel Hill NC USA Kings Coll London Dept Biomed Engn London England

We present a coupled left atrium-mitral valve model based on computed tomography scans with fibre-reinforced hyperelastic materials. fluid-structure interaction is realised by using an immersed boundary-finite element framework. Effects of pathological conditions, eg, mitral valve regurgitation and atrial fibrillation, and geometric and structural variations, namely, uniform vs non-uniform atrial wall thickness and rule-based vs atlas-based fibre architectures, on the system are investigated. We show that in the case of atrial fibrillation, pulmonary venous flow reversal at late diastole disappears, and the filling waves at the left atrial appendage orifice during systole have reduced magnitude. In the case of mitral regurgitation, a higher atrial pressure and disturbed flows are seen, especially during systole, when a large regurgitant jet can be found with the suppressed pulmonary venous flow. We also show that both the rule-based and atlas-based fibre defining methods lead to similar flow fields and atrial wall deformations. However, the changes in wall thickness from non-uniform to uniform tend to underestimate the atrial deformation. Using a uniform but thickened wall also lowers the overall strain level. The flow velocity within the left atrial appendage, which is important in terms of appendage thrombosis, increases with the thickness of the left atrial wall. Energy analysis shows that the kinetic and dissipation energies of the flow within the left atrium are altered differently by atrial fibrillation and mitral valve regurgitation, providing a useful indication of the atrial performance in pathological situations.

关键词： atrial fibrillation fibre-reinforced hyperelastic material fibre structure fluid-structure interaction left atrial appendage left atrium mitral regurgitation mitral valve

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Computational Study of fluid-structure interaction on Flapping Wing under Passive Pitching Motion

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JOURNAL OF AEROSPACE ENGINEERING 2019年第4期32卷 1-15页

作者： Cho, Haeseong Shin, SangJoon Lee, Namhun Lee, Seungsoo Seoul Natl Univ Inst Adv Machines & Design BK21 Plus Transformat Training Program Creat Mech Seoul 08826 South Korea Seoul Natl Univ Inst Adv Aerosp Technol Dept Mech & Aerosp Engn Seoul 08826 South Korea Hanwha Def Syst R&D Strategy Team Vehicle & Launcher Syst R&D Div Changwon Si 51561 Gyeongsangnam D South Korea Inha Univ Dept Aerosp Engn Incheon 22212 South Korea

During the past few decades, various fluid-structure interaction (FSI) analysis approaches have been developed and applied to understand the physical processes related to a flexible flapping wing. In this paper, a dynamic shell analysis based on a corotational (CR) formulation is developed. Geometrically nonlinear dynamic shell formulation based on the CR framework is derived from Lagrange's equation of motion. This brand new shell formulation is implicitly combined with a preconditioned Navier-Stokes solution for a relevant FSI analysis. Specifically, the shell analysis is extended to a multibody dynamic approach to facilitate the passive pitching motion of a flapping wing. The present analysis is validated by a comparison with the results from either previous analyses or experiments. The effect of a passive pitching motion on a flapping wing is also investigated. Finally, it is found that the presented dynamic shell analysis can enable accurate predictions, and the relevant passive pitching motion of a spanwise flexible wing may be advantageous for generating several aerodynamic loads that are applicable for the control forces of a micro aerial vehicle.

关键词： Co-rotational shell formulation fluid-structure interaction Flapping wing

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A review of fluid-structure interaction simulation for patients with sleep related breathing disorders with obstructive sleep

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COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2019年 180卷 105036-000页

作者： Faizal, W. M. Ghazali, N. N. N. Badruddin, Irfan Anjum Zainon, M. Z. Yazid, Aznijar Ahmad Bin Ali, Mohamad Azlin Khor, C. Y. Ibrahim, Norliza Binti Razi, Roziana M. Univ Malaysia Perlis Fac Engn Technol Dept Mech Engn Technol Padang Besar 02100 Perlis Malaysia Univ Malaya Fac Engn Dept Mech Engn Kuala Lumpur 50603 Malaysia King Khalid Univ Coll Engn Dept Mech Engn POB 394 Abha 61421 Saudi Arabia Univ Malaya Fac Dent Dept Oral & Maxillofacial Clin Sci Kuala Lumpur 50603 Malaysia Univ Malaya Fac Dent Dept Paediat Dent & Orthodont Kuala Lumpur 50603 Malaysia

Obstructive sleep apnea is one of the most common breathing disorders. Undiagnosed sleep apnea is a hidden health crisis to the patient and it could raise the risk of heart diseases, high blood pressure, depression and diabetes. The throat muscle (i.e., tongue and soft palate) relax narrows the airway and causes the blockage of the airway in breathing. To understand this phenomenon computational fluid dynamics method has emerged as a handy tool to conduct the modeling and analysis of airflow characteristics. The comprehensive fluid-structure interaction method provides the realistic visualization of the airflow and interaction with the throat muscle. Thus, this paper reviews the scientific work related to the fluid-structure interaction (FSI) for the evaluation of obstructive sleep apnea, using computational techniques. In total 102 articles were analyzed, each article was evaluated based on the elements related with fluid-structure interaction of sleep apnea via computational techniques. In this review, the significance of FSI for the evaluation of obstructive sleep apnea has been critically examined. Then the flow properties, boundary conditions and validation of the model are given due consideration to present a broad perspective of CFD being applied to study sleep apnea. Finally, the challenges of FSI simulation methods are also highlighted in this article. (C) 2019 Published by Elsevier B.V.

关键词： Obstructive sleep apnea Sleep related breathing disorders fluid-structure interaction Computational fluid dynamics Upper airway

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