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Semi-implicit fluid-structure interaction in biomedical applications

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2022年 400卷

作者： Schussnig, Richard Pacheco, Douglas R. Q. Kaltenbacher, Manfred Fries, Thomas -Peter Graz Univ Technol Inst Struct Anal Lessingstr 25-11 A-8010 Graz Styria Austria Graz Univ Technol Graz Ctr Computat Engn Krenngasse 37-I A-8010 Graz Styria Austria Norwegian Univ Sci & Technol Dept Math Sci Alfred Getz vei 1 N-7034 Trondheim Trondelag Norway Graz Univ Technol Inst Fundamentals & Theory Elect Engn Inffeldgasse 18-I A-8010 Graz Styria Austria

fluid-structure interaction (FSI) incorporates effects of fluid flows on deformable solids and vice versa. Complex biomedical problems in clinical applications continue to challenge numerical algorithms, as incorporating the underlying mathematical methods can impair the solvers' performance drastically. In this regard, we extend a semi-implicit, pressure Poisson-based FSI scheme for non-Newtonian fluids to incorporate several models crucial for biomechanical applications. We consider Windkessel outlets to account for neglected downstream flow regions, realistic material fibre orientation and stressed reference geometries reconstructed from medical image data. Additionally, we incorporate vital numerical aspects, namely, stabilisations to counteract dominant convective effects and instabilities triggered by re-entrant flow, while a major contribution of this work is combining interface quasi-Newton methods with Robin coupling conditions to accelerate the partitioned (semi-)implicit coupling scheme. The numerical examples presented herein aim to finally bridge the gap to real-world applications, considering state-of-the-art modelling aspects and physiological parameters. FSI simulations of blood flow in an iliac bifurcation derived from medical images and vocal folds deforming in the process of human phonation demonstrate the versatility of the framework.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://***/licenses/by/4.0/).

关键词： Semi-implicit coupling Fractional-step time-marching fluid-structure interaction Non-Newtonian fluid Patient-specific simulation Navier-Stokes equations

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EXTENDING A VAN DER POL BASED REDUCED-ORDER MODEL FOR fluid-structure interaction APPLIED TO NON-SYNCHRONOUS VIBRATIONS IN TURBOMACHINERY

EXTENDING A VAN DER POL BASED REDUCED-ORDER MODEL FOR FLUID-...

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ASME Turbomachinery Technical Conference and Exposition (Turbo Expo) - Sustainable Energy - Accelerating the Transition by Advancing Turbine Technology

作者： Hollenbach, Richard Kielb, Robert Hall, Kenneth Duke Univ Durham NC 27708 USA

ISBN: (纸本)9780791884928

This paper expands upon a multi-degree-of-freedom, Van der Pol oscillator used to model buffet and Nonsynchronous Vibrations (NSV) in turbines. Two degrees-of-freedom are used, a fluid tracking variable incorporating a Van der Pol oscillator and a classic spring, mass, damper mounted cylinder variable;thus, this model is one of fluid-structure interaction. This model has been previously shown to exhibit the two main aspects of NSV. The first is the lock-in or entrainment phenomenon of the fluid shedding frequency jumping onto the natural frequency of the oscillator, while the second is a stable limit cycle oscillation (LCO) once the transient solution disappears. Improvements are made to the previous model to better understand this aeroelastic phenomenon. First, an error minimizing technique through a system identification method is used to tune the coefficients in the Reduced Order Model (ROM) to improve the accuracy in comparison to experimental data. Secondly, a cubic stiffness term is added to the fluid equation;this term is often seen in the Duffing Oscillator equation, which allows this ROM to capture the experimental behavior more accurately, seen in previous literature. The finalized model captures the experimental cylinder data found in literature much better than the previous model. These improvements also open the door for future models, such as that of a pitching airfoil or a turbomachinery blade, to create a preliminary design tool for studying NSV in turbomachinery.

关键词： Nonsynchronous Vibrations Van der Pol fluid-structure interaction Turbomachinery Reduced Order Model

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Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2022年 389卷

作者： Hessenthaler, Andreas Falgout, Robert D. Schroder, Jacob B. de Vecchi, Adelaide Nordsletten, David Roehrle, Oliver Univ Stuttgart Inst Modelling & Simulat Biomech Syst Pfaffenwaldring 5a D-70569 Stuttgart Germany Univ Stuttgart Stuttgart Ctr Simulat Technol Pfaffenwaldring 5a D-70569 Stuttgart Germany Lawrence Livermore Natl Lab Ctr Appl Sci Comp Livermore CA 94551 USA Univ New Mexico Dept Math & Stat Albuquerque NM 87131 USA Kings Coll London Sch Biomed Engn & Imaging Sci St Thomas Hosp 4th FL Rayne Inst London SE1 7EH England Univ Michigan Dept Biomed Engn & Cardiac Surg NCRC B202800 Plymouth Rd Ann Arbor MI 48109 USA

In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic MGRIT algorithm is applied to a variety of linear and nonlinear single-and multiphysics problems that are periodic-in-time. It is demonstrated that the proposed parallel-in-time algorithm can obtain the same time-periodic steady-state solution as sequential time-stepping. It is shown that the required number of MGRIT iterations can be estimated a priori and that the new MGRIT variant can significantly and consistently reduce the time-to-solution compared to sequential time-stepping, irrespective of the number of dimensions, linear or nonlinear PDE models, single-physics or coupled problems and the employed computing resources. The numerical experiments demonstrate that the time-periodic MGRIT algorithm enables a greater level of parallelism yielding faster turnaround, and thus, facilitating more complex and more realistic problems to be solved. (c) 2021 Elsevier B.V. All rights reserved.

关键词： Time-periodic parallel-in-time solver Multigrid-reduction-in-time (MGRIT) Speedup fluid-structure interaction Analytic Solutions Cardiac flow

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Parameter optimization of the bio-inspired robot propulsion through the deep learning based reduced order fluid-structure interaction model

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OCEAN ENGINEERING 2022年 255卷

作者： Ying, Zixiang Wang, Linxiang Melnik, Roderick Zhejiang Univ State Key Lab Fluid Power & Mechatron Syst Hangzhou 310027 Peoples R China Wilfrid Laurier Univ Interdisciplinary Res Inst MS2Discovery Waterloo ON N2L 3L5 Canada

In this paper, an effective model (POD-NIROM) is proposed, which makes full use of Long short-term memory Neural Network (LSTM NN) and proper orthogonal decomposition (POD) to predict the fluid dynamics around the moving boundary, as well as the soft robot locomotion. This is the first time that the proposed model has been used to optimize the propulsion parameters of the robotic fish, in which the body stiffness of the robot has been taken into consideration. To discuss the reliability of the presented model, the prediction and simulation of robot swimming performance are compared with experimental measurements, the results show a consistent trend. Finally, the trained model is used to optimize the robot's propulsion parameters. The results show that the robot has the best propulsion speed and propulsion force when the dimensionless wavenumber (k) over tilde is about 0.7. Compared with the high-fidelity model, the average relative standard deviation of the present model is 2.60%, but the calculation cost is reduced by 99.4%. Reasonable prediction and efficient calculation make the proposed POD-NIROM has great potential in the process of bio-inspired robot swimming prediction or bio-inspired robot propulsion parameter optimization.

关键词： Bio-inspired locomotion fluid-structure interaction Reduced order modeling Proper orthogonal decomposition Neural networks

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An immersed boundary-lattice Boltzmann method with hybrid multiple relaxation times for viscoplastic fluid-structure interaction problems

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APPLIED OCEAN RESEARCH 2022年 119卷

作者： Hui, Da Wang, Zekun Cai, Yunan Wu, Wenbin Zhang, Guiyong Liu, Moubin Peking Univ Coll Engn Beijing 100871 Peoples R China Peking Univ Inst Ocean Res Beijing 100871 Peoples R China Peking Univ Dept Mech & Engn Sci State Key Lab Turbulence & Complex Syst Beijing 100871 Peoples R China Commercial Aircraft Engine Co Ltd Aero Engine Corp China Shanghai 200241 Peoples R China Dalian Univ Technol Sch Naval Architecture Engn State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China

Existing studies of fluid-structure interaction (FSI) in ocean engineering mainly focus on the interaction between Newtonian fluids and structure. The FSI problems involving non-Newtonian fluids, especially viscoplastic fluids, have rarely been studied while the inherent dynamic behavior is not clear. In this paper, an immersed boundary-lattice Boltzmann method (IB-LBM) is developed for numerical investigations on FSI problems involving visco-plastic fluids. The present IB-LBM is integrated with a hybrid multiple relaxation times (MRT) scheme where different diagonal relaxation matrices are used for modeling Newtonian and non-Newtonian fluids, and are combined in a hybrid manner using a step function to achieve smooth transition for Newtonian to non-Newtonian fluid behavior at the FSI area. Four benchmark problems are used to validate the IB-LBM with hybrid MRT scheme. It is demonstrated that the numerical model can avoid numerical instability when modeling viscoplastic fluid flow and reduce the numerical boundary slip in the IB-LBM. The numerical model is further used to study the viscoplastic fluid flow around a fixed and moving cylinder (or particle). We show that the present IB-LBM with the hybrid MRT scheme is effective in modeling FSI involving viscoplastic fluids while the obtained phenomena are quite different from those with Newtonian fluids.

关键词： Lattice Boltzmann method immersed boundary method hybrid multiple relaxation times viscoplastic fluids fluid-structure interaction

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Simulation of fluid and shear stress behaviors in reciprocating membrane bioreactors for fouling control using fluid-structure interaction analysis

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SEPARATION AND PURIFICATION TECHNOLOGY 2022年 294卷

作者： Jang, Yongsun Ryoo, Hwa-Soo Shin, Yong-Cheol Park, Hee-deung Korea Univ Dept Civil Environm & Architectural Engn Seoul 02841 South Korea HIFILTEC Yongin 17038 Gyonggi South Korea Korea Univ KU KIST Grad Sch Converging Sci & Technol Seoul 02841 South Korea Korea Univ Sch Civil Environm & Architectural Engn 145 Anam ro Seoul 02841 South Korea

In this study, fluid-structure interaction simulations of a reciprocating membrane bioreactor were performed under various conditions. The reactor and membrane module were configured in a reactor-scale. The shear stress on the tensioned membrane is governed by the fluids it repels. With reciprocating speeds of 10, 20, and 30 cm/s, the maximum shear stresses within one cycle were 3.03, 3.74, and 1.14 N/m(2), respectively. Excessively high speed prevented the fluid from accelerating and dispersing, resulting in a low shear stress. For triangle, sine, and square motions, the maximum shear stresses were 0.92, 3.74 and 4.36 N/m(2), respectively. This suggests that both acceleration and deceleration in motion are critical for generating high shear stress. When the slack increased from 0 to 0.5 and 1%, the maximum shear stress decreased from 3.74 to 2.11 and 1.2 N/m(2), respectively, owing to the decrease in membrane tension. The results of this study should be considered when attempting to increase fouling removal effects reciprocating membrane bioreactor.

关键词： Membrane bioreactor Membrane fouling Reciprocation fluid-structure interaction Simulation

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3D fluid-structure interaction with fracturing: A new method with applications

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2022年 398卷

作者： Dalla Barba, Federico Zaccariotto, Mirco Galvanetto, Ugo Picano, Francesco Univ Padua Dept Ind Engn Padua Italy Univ Padua Dept Ind Engn & CISAS G Colombo Padua Italy

This paper presents a methodology for simulating general, three-dimensional fluid-structure interaction problems involving fracturing. Ordinary state-based peridynamics is used to describe the mechanical behaviour of the solid phase in a Lagrangian framework. The governing equations of peridynamics are coupled via a multi-direct immersed boundary method with the incompressible formulation of the Navier-Stokes equations, which are used to govern the dynamics of the fluid phase. The synchronization of the solution is achieved via a fully explicit, weak-coupling strategy that allows for fast and efficient computations. A detailed description of the methodology is provided, together with the results of several validation benchmarks. The qualitative results of the unsteady hydraulic fracture of a porous medium are also presented to show the potential of the proposed approach. The authors believe that the numerical technique described in this paper contributes to advance the capability of models in reproducing complex fluid-structure interaction and hydraulic fracture problems, providing a very detailed description of both the fluid and solid mechanics of the processes involved. (c) 2022 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Navier-Stokes equations Peridynamics Fracture Hydraulic fracturing Immersed boundary method

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Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2022年 412卷

作者： Ahuja, K. Endtmayer, B. Steinbach, M. C. Wick, T. Indian Inst Technol Indore Discipline Comp Sci & Engn Indore Madhya Pradesh India Leibniz Univ Hannover Inst Angew Math Welfengarten 1 D-30167 Hannover Germany Leibniz Univ Hannover Cluster Excellence PhoenixD Photon Opt & Engn Inn Hannover Germany Univ Paris Saclay LMT Lab Mecan & Technol ENS Paris Saclay F-91190 Gif Sur Yvette France Johannes Kepler Univ Linz Doctoral Program Computat Math Altenbergerstr 69 A-4040 Linz Austria Austrian Acad Sci Johann Radon Inst Computat & Appl Math Altenbergerstr 69 A-4040 Linz Austria

In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the dual-weighted residual method for goal-oriented a posteriori error estimation, adjoint sensitivities are required. For multigoal-oriented error estimation, a combined functional is formulated such that several quantities of interest are controlled simultaneously. As localization technique for mesh refinement we employ a partition-of-unity. Our algorithmic developments are substantiated with several numerical tests such as an elastic lid-driven cavity with two goal functionals, an elastic bar in a chamber with two goal functionals, and the FSI-1 benchmark with three goal functionals. (c) 2022 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Dual-weighted residuals Multigoal-oriented error estimation Mesh adaptivity Deal.II

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fluid-structure interaction Analysis of Flexible Plate with Partitioned Coupling Method

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China Ocean Engineering 2019年第6期33卷 713-722页

作者： W.Z.,Lim R.Y.,Xiao Faculty of Computing Engineering and the Built EnvironmentBirmingham City UniversityBirminghamB47XGUnited Kingdom Department of Urban Engineering School of The Built Environment and ArchitectureLondon South Bank UniversityBorough RoadLondonSE10AAUnited Kingdom

The development and rapid usage of numerical codes for fluid-structure interaction(FSI) problems are of great relevance to researchers in many engineering fields such as civil engineering and ocean engineering. This multidisciplinary field known as FSI has been expanded to engineering fields such as offshore structures, tall slender structures and other flexible structures applications. The motivation of this paper is to investigate the numerical model of two-way coupling FSI partitioned flexible plate structure under fluid flow. The adopted partitioned method and approach utilized the advantage of the existing numerical algorithms in solving the two-way coupling fluid and structural interactions. The flexible plate was subjected to a fluid flow which causes large deformation on the fluid domain from the oscillation of the flexible plate. Both fluid and flexible plate are subjected to the interaction of load transfer within two physics by using the strong and weak coupling methods of MFS and Load Transfer Physics Environment, respectively. The oscillation and deformation results have been validated which demonstrate the reliability of both strong and weak method in resolving the two-way coupling problem in contribution of knowledge to the feasibility field study of ocean engineering and civil engineering.

关键词： fluid-structure interaction flexible plate structure two-way coupling partitioned method numerical simulation

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A new model for fluid transients in piping systems taking into account the fluid-structure interaction

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JOURNAL OF fluidS AND structureS 2022年 114卷

作者： Andrade, Douglas Monteiro Rachid, Felipe Bastos de Freitas Tijsseling, Arris Sieno Univ Fed Fluminense Dept Mech Engn TEM Grad Program Mech Engn PGMEC Rua Passo Patria 156 BR-24210240 Niteroi RJ Brazil Eindhoven Univ Technol Dept Math & Comp Sci POB 513 NL-5600 MB Eindhoven Netherlands Eindhoven Univ Technol Dept Math & Comp Sci Eindhoven Netherlands

The present work extends a recently developed quasi-2D flow model for fluid tran-sients in elastic pipes to accommodate fluid-structure interaction mechanisms. In this context, the primary goal of the proposed approach is to analyze energy transfer and dissipative effects in the fluid-pipe system. The fluid-structure interaction couples the flow dynamics with the axial movement of the tube, giving rise to friction, Poisson, and junction coupling mechanisms to take place. The mechanical model mathematical structure forms a quasi-linear hyperbolic system of partial differential equations for which approximated solutions are sought by employing the method of characteristics. The proposed model reproduces classical benchmark solutions and presents a good agreement with experimental data. In addition, the whole thermomechanical consistent framework in which the model is established allows an accurate description of the flow's internal structure. This feature allows a better comprehension of the phenomenon when compared to the classic frictionless and quasi-steady-friction-based four-equation models. The present approach allows a better description of the friction coupling mechanism and unveils uneven shear stress distributions in the unsteady flow. As a result, the energy dissipation in the fluid is captured with accuracy. Due to the absence or limited ability to describe these dispersive and dissipative effects, the traditional approaches are proved to lose their accuracy as the fluid transient goes. The coupled and uncoupled models are also analyzed and are proven to respond differently due to localized pipe-fluid interface effects in addition to the bulk mechanisms of transfer of energy that occur differently in both approaches. (c) 2022 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Friction coupling Unsteady friction Energy dissipation

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