Fluid-structure interaction

流体 - 结构相互作用
  • 文章类型: Journal Article
    目的:成像方法,例如,计算机断层扫描(CT)有助于患者特定动脉瘤的三维(3D)重建。放射学数据有助于了解它们的位置,形状,尺寸,和疾病进展。然而,由于当前成像模式的局限性,在辨别血管壁厚度方面存在严重的障碍。这进一步限制了进行高保真流体结构相互作用(FSI)研究以准确评估破裂风险的能力。FSI研究将需要生成动脉壁网格以通过对与动脉壁的血液动力学力进行耦合计算来确定现实的最大允许壁应力。
    方法:在本研究中,开发了一种新的方法,根据临床和组织病理学输入,对从患者特定动脉瘤的CT扫描切片中提取的管腔等值面的可变血管壁厚度进行几何建模。使用重建模型进行FSI模拟,以评估近现实壁厚模型对破裂风险预测的重要性。
    结果:手术期间,临床医生经常观察半透明的血管壁,表明薄区域的存在。需要生成可变血管壁厚模型,体现了壁厚等级,更接近这样的临床观察。因此,进行相应的FSI模拟可以改善临床结果.在均匀壁厚和可变壁厚模型之间观察到动脉瘤壁中瞬时壁剪切应力和vonMises应力的大小存在相当大的差异。
    结论:在本研究中,实现了一种可变血管壁厚生成算法。事实证明,实际的壁厚建模对于准确预测壁上的剪应力以及壁上的vonMises应力是必要的。进行FSI模拟以证明可变壁厚建模的实用性。
    Imaging methodologies such as, computed tomography (CT) aid in three-dimensional (3D) reconstruction of patient-specific aneurysms. The radiological data is useful in understanding their location, shape, size, and disease progression. However, there are serious impediments in discerning the blood vessel wall thickness due to limitations in the current imaging modalities. This further restricts the ability to perform high-fidelity fluid structure interaction (FSI) studies for an accurate assessment of rupture risk. FSI studies would require the arterial wall mesh to be generated to determine realistic maximum allowable wall stresses by performing coupled calculations for the hemodynamic forces with the arterial walls.
    In the present study, a novel methodology is developed to geometrically model variable vessel wall thickness for the lumen isosurface extracted from CT scan slices of patient-specific aneurysms based on clinical and histopathological inputs. FSI simulations are carried out with the reconstructed models to assess the importance of near realistic wall thickness model on rupture risk predictions.
    During surgery, clinicians often observe translucent vessel walls, indicating the presence of thin regions. The need to generate variable vessel wall thickness model, that embodies the wall thickness gradation, is closer to such clinical observations. Hence, corresponding FSI simulations performed can improve clinical outcomes. Considerable differences in the magnitude of instantaneous wall shear stresses and von Mises stresses in the walls of the aneurysm was observed between a uniform wall thickness and a variable wall thickness model.
    In the present study, a variable vessel wall thickness generation algorithm is implemented. It was shown that, a realistic wall thickness modeling is necessary for an accurate prediction of the shear stresses on the wall as well as von Mises stresses in the wall. FSI simulations are performed to demonstrate the utility of variable wall thickness modeling.
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  • 文章类型: Journal Article
    血管疾病受血液动力学参数的影响很大,确定这些参数的准确性取决于正确边界条件的使用。本工作进行了双向流体-结构相互作用(FSI)模拟,以研究出口压力边界条件对左前降支(LAD)分支中度狭窄(50%)的左冠状动脉分叉血流动力学的影响。Carreau粘度模型用于表征血液的剪切稀化行为。研究结果表明,在出口边界采用零压力显着高估了血液动力学变量的值,例如壁剪切应力(WSS),与人类健康和脉动压力出口条件相比,时间平均壁切应力(TAWSS)。然而,对于人类健康和脉动压力出口,这些变量之间的差异略低。振荡剪切指数(OSI)在所有情况下保持不变,表明与出口边界条件的独立性。此外,发现在零压力出口边界条件下,穿过斑块的负轴向速度和压降的幅度更高。
    Vascular diseases are greatly influenced by the hemodynamic parameters and the accuracy of determining these parameters depends on the use of correct boundary conditions. The present work carries out a two-way fluid-structure interaction (FSI) simulation to investigate the effects of outlet pressure boundary conditions on the hemodynamics through the left coronary artery bifurcation with moderate stenosis (50%) in the left anterior descending (LAD) branch. The Carreau viscosity model is employed to characterise the shear-thinning behaviour of blood. The results of the study reveal that the employment of zero pressure at the outlet boundaries significantly overestimates the values of hemodynamic variables like wall shear stress (WSS), and time-averaged wall shear stress (TAWSS) compared with human healthy and pulsatile pressure outlet conditions. However, the difference between these variables is marginally low for human healthy and pulsatile pressure outlets. The oscillatory shear index (OSI) remains the same across all scenarios, indicating independence from the outlet boundary condition. Furthermore, the magnitude of negative axial velocity and pressure drop across the plaque are found to be higher at the zero pressure outlet boundary condition.
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  • 文章类型: Journal Article
    在这项研究中,建立了基于物理学的模型来描述整个流动介导的扩张(FMD)响应。量化动脉壁恢复趋势的参数来自模型,从而提供了动脉的物理状态的更详细的描述,与表征机械传导和动脉壁结构方面的其他参数一致。模型成功地再现了整个完整响应过程中的动脉直径行为。从健康志愿者获得实验FMD反应数据。然后调整模型的参数,以产生与观察到的实验响应最接近的匹配,因此传递与每个主题有关的参数值。这项研究建立了一个基础,在此基础上可以介绍未来的潜在临床应用,其中内皮功能和一般心血管健康是廉价和无创量化的。
    In this study, a physics-based model is developed to describe the entire flow mediated dilation (FMD) response. A parameter quantifying the arterial wall\'s tendency to recover arises from the model, thereby providing a more elaborate description of the artery\'s physical state, in concert with other parameters characterizing mechanotransduction and structural aspects of the arterial wall. The arterial diameter\'s behavior throughout the full response is successfully reproduced by the model. Experimental FMD response data were obtained from healthy volunteers. The model\'s parameters are then adjusted to yield the closest match to the observed experimental response, hence delivering the parameter values pertaining to each subject. This study establishes a foundation based on which future potential clinical applications can be introduced, where endothelial function and general cardiovascular health are inexpensively and noninvasively quantified.
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  • 文章类型: Journal Article
    珊瑚礁生态系统作为游泳能力有限的鱼类的栖息地起着至关重要的作用,不仅作为避难所和食物来源,而且还影响他们的行为倾向。了解鱼类在复杂水流中的珊瑚礁环境中巧妙地导航移动目标的复杂机制,在躲避障碍和保持稳定姿势的同时,在鱼类行为领域仍然是一个具有挑战性和突出的主题,生态学,和生物模拟物一样。集成的仿真框架用于研究复杂环境中的鱼类捕食问题,将深度强化学习算法(DRL)与高精度流体-结构相互作用数值方法相结合-LMmersed边界格子Boltzmann方法(lB-LBM)。软行动者批评(SAC)算法用于提高智能鱼的随机探索能力,解决现实场景中固有的多目标稀疏奖励挑战。此外,开发了一种适合其行动目的的奖励塑造方法,能够有效地捕捉结果和趋势特征。本文通过两个案例研究展示了本文阐明的方法的收敛性和鲁棒性优势:一个解决在静水流场中捕获随机移动目标的鱼,另一种侧重于鱼类在珊瑚礁环境中逆流觅食,以捕获漂流食物。综合分析了各种奖励类型对复杂环境中智能鱼决策过程的影响和意义。
    The reef ecosystem plays a vital role as a habitat for fish species with limited swimming capabilities, serving not only as a sanctuary and food source but also influencing their behavioral tendencies. Understanding the intricate mechanism through which fish adeptly navigate the moving targets within reef environments within complex water flow, all while evading obstacles and maintaining stable postures, has remained a challenging and prominent subject in the realms of fish behavior, ecology, and biomimetics alike. An integrated simulation framework is used to investigate fish predation problems within intricate environments, combining deep reinforcement learning algorithms (DRL) with high-precision fluid-structure interaction numerical methods-immersed boundary lattice Boltzmann method (lB-LBM). The Soft Actor-Critic (SAC) algorithm is used to improve the intelligent fish\'s capacity for random exploration, tackling the multi-objective sparse reward challenge inherent in real-world scenarios. Additionally, a reward shaping method tailored to its action purposes has been developed, capable of capturing outcomes and trend characteristics effectively. The convergence and robustness advantages of the method elucidated in this paper are showcased through two case studies: one addressing fish capturing randomly moving targets in hydrostatic flow field, and the other focusing on fish counter-current foraging in reef environments to capture drifting food. A comprehensive analysis was conducted of the influence and significance of various reward types on the decision-making processes of intelligent fish within intricate environments.
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  • 文章类型: Journal Article
    目的:经导管主动脉瓣植入术(TAVI)已显著改变了主动脉瓣(AV)疾病的治疗,与传统的外科瓣膜置换术相比,提出了一种微创选择。TAVI的计算模拟变得越来越流行,并通过采用患者特定的模型提供了详细的调查。另一方面,采用准确的材料建模程序和应用基本建模步骤对于确定可靠的数值结果至关重要。因此,这篇综述旨在概述TAVI的基本建模方法,专注于材料建模和几何提取,并总结了最近计算研究的重要发现,以指导该领域的未来研究。
    方法:本文解释了设置和运行TAVI模拟的基本步骤和要点。小叶的材料特性,阀门,支架,并提供了TAVI模拟中使用的组织,以及所采用的几何提取方法的全面解释。有限元分析之间的差异,计算流体力学,通过阐明最近的计算研究,指出了流体-结构相互作用的方法,并描述了TAVI建模的重要方面。
    结果:总结了TAVI模拟的最新发现结果,以证明其强大的潜力。观察到,主动脉组织和植入瓣膜组件的材料特性应进行逼真的建模,以确定准确的结果。对于患者特定的AV几何形状,在小叶上掺入钙化沉积物对于确保计算结果的准确性至关重要。数值TAVI模拟的结果表明了选择最佳瓣膜和在适当解剖位置内精确部署的重要性。这些因素共同有助于植入瓣膜的有效功能。
    结论:最近的文献研究揭示了患者特异性建模的重要性,选择准确的材料模型,和生物人工瓣膜直径。此外,这些研究强调了精确定位生物人工瓣膜的必要性,以实现TAVI的最佳性能,其特征是有效孔口面积增加和瓣周漏最小。
    OBJECTIVE: Transcatheter aortic valve implantation (TAVI) has significantly transformed the management of aortic valve (AV) diseases, presenting a minimally invasive option compared to traditional surgical valve replacement. Computational simulations of TAVI become more popular and offer a detailed investigation by employing patient-specific models. On the other hand, employing accurate material modeling procedures and applying basic modeling steps are crucial to determining reliable numerical results. Therefore, this review aims to outline the basic modeling approaches for TAVI, focusing on material modeling and geometry extraction, as well as summarizing the important findings from recent computational studies to guide future research in the field.
    METHODS: This paper explains the basic steps and important points in setting up and running TAVI simulations. The material properties of the leaflets, valves, stents, and tissues utilized in TAVI simulations are provided, along with a comprehensive explanation of the geometric extraction methods employed. The differences between the finite element analysis, computational fluid dynamics, and fluid-structure interaction approaches are pointed out and the important aspects of TAVI modeling are described by elucidating the recent computational studies.
    RESULTS: The results of the recent findings on TAVI simulations are summarized to demonstrate its powerful potential. It is observed that the material properties of aortic tissues and components of implanted valves should be modeled realistically to determine accurate results. For patient-specific AV geometries, incorporating calcific deposits on the leaflets is essential for ensuring the accuracy of computational findings. The results of numerical TAVI simulations indicate the significance of the selection of optimal valves and precise deployment within the appropriate anatomical position. These factors collectively contribute to the effective functionality of the implanted valve.
    CONCLUSIONS: Recent studies in the literature have revealed the critical importance of patient-specific modeling, the selection of accurate material models, and bio-prosthetic valve diameters. Additionally, these studies emphasize the necessity of precise positioning of bio-prosthetic valves to achieve optimal performance in TAVI, characterized by an increased effective orifice area and minimal paravalvular leakage.
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  • 文章类型: Journal Article
    计算流体力学的进展不断扩展对动脉瘤生长和破裂的理解,旨在帮助医生制定有效的治疗策略。虽然大多数研究首先将颅内动脉瘤壁建模为完全刚性,重点是了解血流特征,一些研究人员进一步介绍了流体-结构相互作用(FSI),并报道了一些动脉瘤病例在考虑壁顺应性时的显著血流动力学改变.在这项工作中,我们通过研究101个颅内侧壁动脉瘤,强调刚性和可变形壁模拟之间的差异。出于再现性的考虑,所提出的数据集以及仿真参数被共享。已经对各种血液动力学模式进行了统计分析,特别关注墙壁建模选择的影响。报告了流量特性和常用风险指标的显著偏差,特别是近穹顶血液再循环受到壁脉动动力学的显著影响。这导致囊平均振荡剪切指数的大幅波动,范围为标准刚性壁值的-36%至+674%。更进一步,首次展示了模拟与FSI结合建模的分流器支架时获得的血液动力学,与刚性壁相比,顺应性壁设置的收缩期囊平均速度增加了73%。最后的发现证明了FSI建模在预测治疗结果方面的决定性影响。
    Advances in computational fluid dynamics continuously extend the comprehension of aneurysm growth and rupture, intending to assist physicians in devising effective treatment strategies. While most studies have first modelled intracranial aneurysm walls as fully rigid with a focus on understanding blood flow characteristics, some researchers further introduced Fluid-Structure Interaction (FSI) and reported notable haemodynamic alterations for a few aneurysm cases when considering wall compliance. In this work, we explore further this research direction by studying 101 intracranial sidewall aneurysms, emphasizing the differences between rigid and deformable-wall simulations. The proposed dataset along with simulation parameters are shared for the sake of reproducibility. A wide range of haemodynamic patterns has been statistically analyzed with a particular focus on the impact of the wall modelling choice. Notable deviations in flow characteristics and commonly employed risk indicators are reported, particularly with near-dome blood recirculations being significantly impacted by the pulsating dynamics of the walls. This leads to substantial fluctuations in the sac-averaged oscillatory shear index, ranging from -36% to +674% of the standard rigid-wall value. Going a step further, haemodynamics obtained when simulating a flow-diverter stent modelled in conjunction with FSI are showcased for the first time, revealing a 73% increase in systolic sac-average velocity for the compliant-wall setting compared to its rigid counterpart. This last finding demonstrates the decisive impact that FSI modelling can have in predicting treatment outcomes.
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    文章类型: Journal Article
    在过去的十年中,诸如TAVR之类的人工心脏瓣膜干预措施激增,但相关的长期并发症,危及生命的血栓性事件继续影响患者预后.因此,改善TAVR设备的血栓形成风险分析至关重要。通常难以进行血栓形成的体外研究。然而,修订后的ISO测试标准包括心血管植入物血栓形成风险评估的计算测试。我们提出了一种流体-结构相互作用(FSI)方法来评估人工心脏瓣膜的血栓形成风险。通过AnsysLS-DYNA软件的不可压缩计算流体动力学多物理场求解器实现了FSI框架。通过将文献中商用TAVR阀门的台式测试和孔口区域的29mmCoreValve装置的推导流量与计算机模拟结果进行比较,验证了用于流动分析的数值建模方法。通过计算AnsysEnSight在流场中接种的虚拟血小板上的应力积累(SA)来分析血栓形成风险。随后采用综合FSI-血栓形成方法学,通过两种方法检查TAVR装置的血液动力学和血栓形成风险:1)工程优化和2)临床评估。我们的方法可用于从初始设计阶段到临床改善人工瓣膜的抗血栓性。它允许设备的无与伦比的优化,发现可用于减轻血栓形成风险的关键TAVR传单设计参数,除了患者特定的建模,以评估设备性能。这项工作证明了TAVR设备的高级计算机分析的实用性,该设备可用于其他血液循环设备的血栓形成风险评估。
    UNASSIGNED: Prosthetic heart valve interventions such as TAVR have surged over the past decade, but the associated complication of long-term, life-threatening thrombotic events continues to undermine patient outcomes. Thus, improving thrombogenic risk analysis of TAVR devices is crucial. In vitro studies for thrombogenicity are typically difficult to perform. However, revised ISO testing standards include computational testing for thrombogenic risk assessment of cardiovascular implants. We present a fluid-structure interaction (FSI) approach for assessing thrombogenic risk of prosthetic heart valves.
    UNASSIGNED: An FSI framework was implemented via the incompressible computational fluid dynamics multi-physics solver of the Ansys LS-DYNA software. The numerical modeling approach for flow analysis was validated by comparing the derived flow rate of the 29-mm CoreValve device from benchtop testing and orifice areas of commercial TAVR valves in the literature to in silico results. Thrombogenic risk was analyzed by computing stress accumulation (SA) on virtual platelets seeded in the flow fields via Ansys EnSight. The integrated FSI-thrombogenicity methodology was subsequently employed to examine hemodynamics and thrombogenic risk of TAVR devices with two approaches: 1) engineering optimization and 2) clinical assessment.
    UNASSIGNED: The simulated effective orifice areas of the commercial devices were in the range reported in the literature. The flow rates from the in vitro flow testing matched well with the in silico results. The approach was used to analyze the effect of various TAVR leaflet designs on hemodynamics. Platelets experienced different magnitudes of SA along their trajectories as they flowed past each design. Post-TAVR deployment hemodynamics in patient-specific bicuspid aortic valve anatomies revealed varying degrees of thrombogenic risk for these patients, despite being clinically defined as \"mild\" paravalvular leak.
    UNASSIGNED: Our methodology can be used to improve the thromboresistance of prosthetic valves from the initial design stage to the clinic. It allows for unparalleled optimization of devices, uncovering key TAVR leaflet design parameters that can be used to mitigate thrombogenic risk, in addition to patient-specific modeling to evaluate device performance. This work demonstrates the utility of advanced in silico analysis of TAVR devices that can be utilized for thrombogenic risk assessment of other blood recirculating devices.
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  • 文章类型: Journal Article
    背景:一种有希望的无袖口方法,连续血压监测是根据脉搏波速度(PWV)来估计血压(BP)。然而,大多数现有的基于PWV的方法依赖于经验BP-PWV关系,并且具有较大的预测误差,这可能是由薄壁的隐含假设引起的,线性弹性动脉发生小变形。我们的目标是在没有这种限制性假设的情况下理解BP-PWV关系。
    方法:我们在生理流动条件下对桡动脉和颈总动脉进行了流体-结构相互作用(FSI)模拟。在这些动态模拟中,我们对动脉壁采用了两种本构模型:线性弹性模型,意味着薄壁线性弹性动脉正在经历小的变形,和Holzapfel-Gasser-Ogden(HGO)模型,考虑胶原纤维及其取向对大动脉变形的非线性影响。
    结果:尽管BP不断变化,线性弹性模型预测整个心动周期的PWV恒定,这不是生理的。HGO模型通过捕获动脉的非线性变形,正确预测BP-PWV正相关性,在一个心动周期中显示高达50%的PWV变化。
    结论:动态FSI模拟显示,BP-PWV关系强烈依赖于动脉本构模型,尤其是桡动脉.从PWV推断血压,必须考虑变化的PWV,胶原纤维引起的非线性动脉反应的结果。如果要将其用于预测BP,则未来的努力应针对时变PWV的鲁棒测量。
    BACKGROUND: A promising approach to cuff-less, continuous blood pressure monitoring is to estimate blood pressure (BP) from Pulse Wave Velocity (PWV). However, most existing PWV-based methods rely on empirical BP-PWV relations and have large prediction errors, which may be caused by the implicit assumption of thin-walled, linear elastic arteries undergoing small deformations. Our objective is to understand the BP-PWV relationship in the absence of such limiting assumptions.
    METHODS: We performed Fluid-Structure Interaction (FSI) simulations of the radial artery and the common carotid artery under physiological flow conditions. In these dynamic simulations, we employed two constitutive models for the arterial wall: the linear elastic model, implying a thin-walled linear elastic artery undergoing small deformations, and the Holzapfel-Gasser-Ogden (HGO) model, accounting for the nonlinear effects of collagen fibers and their orientations on the large arterial deformation.
    RESULTS: Despite the changing BP, the linear elastic model predicts a constant PWV throughout a cardiac cycle, which is not physiological. The HGO model correctly predicts a positive BP-PWV correlation by capturing the nonlinear deformation of the artery, showing up to 50 % variations of PWV in a cardiac cycle.
    CONCLUSIONS: Dynamic FSI simulations reveal that the BP-PWV relationship strongly depends on the arterial constitutive model, especially in the radial artery. To infer BP from PWV, one must account for the varying PWV, a consequence of the nonlinear arterial response due to collagen fibers. Future efforts should be directed towards robust measurement of time-varying PWV if it is to be used to predict BP.
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  • 文章类型: Journal Article
    目的:植入心室辅助装置(VAD)已成为心力衰竭患者的重要治疗选择。主动脉瓣关闭不全是VAD植入引起的常见并发症。目前,关于经导管微型VAD或介入泵对主动脉瓣的影响的定量研究很少。
    方法:在本研究中,多分量任意拉格朗日-欧拉方法用于在有和没有干预泵的情况下对主动脉瓣模型进行流体-结构相互作用模拟。介入泵植入对主动脉瓣开口面积的影响,应力分布,并对流动特性进行了定量分析。统计结果与临床指南和实验一致。
    结果:介入泵的植入导致瓣膜功能不全并导致瓣膜返流较弱。在短期治疗中,瓣膜反流在可控范围内。小叶上应力的分布和变化也受干预泵的影响。沿流动方向的旋转流动影响主动脉瓣的关闭速度并优化瓣膜的应力分布。在具有旋转流的模型中,介入泵植入对瓣膜运动和应力分布的影响与无旋流的影响不同。然而,在具有旋流的模型中,仍然存在由干预泵引起的阀门不足和阀门反流。传统的人工生物瓣膜在治疗由介入泵植入引起的瓣膜疾病方面具有有限的有效性。
    结论:本研究定量调查了干预泵对主动脉瓣的影响,并研究了血液旋转对瓣膜行为的影响,这是以往研究的差距。我们建议在短期治疗中,介入泵的植入对主动脉瓣的影响有限,应谨慎对待由干预泵引起的瓣膜返流问题。
    OBJECTIVE: The implantation of ventricular assist devices (VADs) has become an important treatment option for patients with heart failure. Aortic valve insufficiency is a common complication caused by VADs implantation. Currently, there is very little quantitative research on the effects of transcatheter micro VADs or the intervention pumps on the aortic valves.
    METHODS: In this study, the multi-component arbitrary Lagrange-Eulerian method is used to perform fluid-structure interaction simulations of the aortic valve model with and without intervention pumps. The effects of intervention pumps implantation on the opening area of the aortic valves, the stress distribution, and the flow characteristics are quantitatively analyzed. Statistical results are consistent with clinical guidelines and experiments.
    RESULTS: The implantation of intervention pumps leads to the valve insufficiency and causes weak valve regurgitation. In the short-term treatment, the valve regurgitation is within a controllable range. The distribution and variation of stress on the leaflets are also affected by intervention pumps. The whirling flow in the flow direction affects the closing speed of the aortic valves and optimizes the stress distribution of the valves. In the models with whirling flow, the effects of intervention pumps implantation on valve motion and stress distribution differ from those without whirling flow. However, the valve insufficiency and valve regurgitation caused by intervention pumps still exist in the models with whirling flow. Conventional artificial bioprosthetic valves have limited effectiveness in treating the valve diseases caused by intervention pumps implantation.
    CONCLUSIONS: This study quantitatively investigates the impact of intervention pumps on the aortic valves, and investigates the effect of blood rotation on the valve behavior, which is a gap in previous research. We suggest that in the short-term treatment, the implantation of intervention pumps has limited impact on aortic valves, caution should be exercised against valve regurgitation issues caused by intervention pumps.
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  • 文章类型: Journal Article
    具有接触的流体-结构相互作用提出了深刻的数学和数值挑战,特别是在考虑实际接触情况和表面粗糙度的影响时。计算上,接触在改变流体域拓扑和保持应力平衡方面引入了挑战。这项工作为流体-多孔结构-接触相互作用(FPSCI)的统一连续描述引入了一个新的数学框架,利用Navier-Stokes-Brinkman(NSB)方程将多孔效应纳入接触区域的表面粗糙部分。我们的方法在接触过程中保持机械一致性,规避与接触模型和复杂界面耦合条件相关的问题,允许对由于表面粗糙度引起的切向蠕变流进行建模。统一的连续和变分多尺度公式通过实现流体的稳定和统一集成来确保鲁棒性,多孔,和坚实的子问题。通过解决落球和理想化心脏瓣膜的两个基准问题,证明了计算效率和易于实施-我们方法的关键优势。这项研究对依赖于精确的流体-结构相互作用的领域以及建模和数值模拟技术的有希望的进步具有广泛的意义。
    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.
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