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Computational fluid–structure interaction framework for passive feathering and cambering in flapping insect wings 昆虫扑翼被动羽化和弯曲的流固耦合计算框架
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-29 DOI: 10.1002/fld.5251
Daisuke Ishihara, Minato Onishi

In flapping insect wings, veins support flexible wing membranes such that the wings form feathering and cambering motions passively from large elastic deformations. These motions are essentially important in unsteady aerodynamics of insect flapping flight. Hence, the underlying mechanism of this phenomenon is an important issue in studies on insect flight. Systematic parametric studies on strong coupling between a model wing describing these elastic deformations and the surrounding fluid, which is a direct formulation of this phenomenon, will be effective for solving this issue. The purpose of this study is to develop a robust numerical framework for these systematic parametric studies. The proposed framework consists of two novel numerical methods: (1) A fully parallelized solution method using both algebraic splitting and semi-implicit scheme for monolithic fluid–structure interaction (FSI) equation systems, which is numerically stable for a wide range of properties such as solid-to-fluid mass ratios and large body motions, and large elastic deformations. (2) A structural mechanics model for insect flapping wings using pixel modeling (pixel model wing), which is combined with explicit node-positioning to reduce computational costs significantly in controlling fluid meshes. The validity of the proposed framework is demonstrated for some benchmark problems and a dynamically scaled model incorporating actual insect data. Finally, from a parametric study for the pixel model wing flapped in fluid with a wide range of solid-to-fluid mass ratios, we find a FSI mechanism of feathering and cambering motions in flapping insect wings.

在昆虫的扇动翅膀中,叶脉支撑着灵活的翅膀膜,使翅膀在大的弹性变形中被动地形成羽化和弯曲运动。这些运动在昆虫扑翼飞行的非定常空气动力学中具有重要意义。因此,这一现象的潜在机制是昆虫飞行研究中的一个重要问题。描述这些弹性变形的模型机翼与周围流体之间的强耦合是这一现象的直接表述,系统的参数化研究将有助于解决这一问题。本研究的目的是为这些系统参数研究开发一个强大的数值框架。提出的框架包括两种新的数值方法:(1)采用代数分裂和半隐式格式的全并行化求解整体流固耦合(FSI)方程系统,该方法对固液质量比、大物体运动和大弹性变形等大范围性质具有数值稳定性。(2)基于像素建模的昆虫扑翼结构力学模型(像素模型翼),结合显式节点定位,在控制流体网格时显著降低计算成本。通过一些基准问题和包含实际昆虫数据的动态缩放模型验证了该框架的有效性。最后,通过对大范围固液质量比的流体中扇动的像素模型翅膀的参数化研究,我们发现了昆虫扇动翅膀的羽化和弯曲运动的FSI机制。
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引用次数: 0
Layered shallow water equations: Spatiotemporally varying layer ratios with specific adaptation to wet/dry interfaces 层状浅水方程:时空变化的层比与特定的适应湿/干界面
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-23 DOI: 10.1002/fld.5249
Naveed Ul Hassan Bhat, Gourabananda Pahar

The study of multilayered shallow water equations has developed from a consideration of immiscible layers as a vertical mesh to the layer bounds as imaginary extremes for vertical integration of the flow equations. In the current work, a quasi three-dimensional flow model has been developed with the consideration of the spatiotemporal flexibility/variability of the pervious vertical discretization/layer ratios. Thus, in principle, vertical layering offers a nonuniform grid with a temporal variation. The system of equations thus formulated comprises a conservative part and the appended source/sink terms. These source/sink terms pertain to the inter-layer interactions such as mass/momenta transfer and interfacial stress, which have been treated in a novel implicit form alongwith the subgrid-scale eddy-viscosity for interlayer shear. They are integrated into the system through different physical considerations so as to arrive at a well-balanced numerical scheme in a regular finite volume grid. The model has been validated through the standard test-cases highlighting the conservation properties and the model's adaptability to uniform and nonuniform vertical meshes alongwith the spatiotemporal transitions of layer ratios, with a specific interest in limiting cases of wet/dry fronts. The increase in layer ratios tends to nearly replicate the full-scale model results in experimental scenarios at a lesser computational overhead.

多层浅水方程的研究已经从考虑非混相层作为垂直网格发展到将层界作为流动方程垂直积分的虚极值。在本研究中,我们建立了一个准三维流动模型,该模型考虑了透水垂直离散化/分层比的时空灵活性/变异性。因此,原则上,垂直分层提供了一个具有时间变化的不均匀网格。这样形成的方程组包括保守部分和附加的源/汇项。这些源/汇项与层间相互作用有关,如质量/动量传递和界面应力,它们与层间剪切的亚网格尺度涡流粘度一起以一种新的隐式形式进行了处理。它们通过不同的物理考虑集成到系统中,从而在规则的有限体积网格中得到一个平衡的数值方案。该模型已通过标准测试用例进行了验证,突出了守恒特性和模型对均匀和非均匀垂直网格的适应性,以及层比的时空变化,特别关注了干湿锋的限制情况。层比的增加倾向于在较小的计算开销下几乎复制实验场景中的全尺寸模型结果。
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引用次数: 0
Enhancing physics informed neural networks for solving Navier–Stokes equations 增强物理信息神经网络求解Navier-Stokes方程
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-20 DOI: 10.1002/fld.5250
Ayoub Farkane, Mounir Ghogho, Mustapha Oudani, Mohamed Boutayeb

Fluid mechanics is a critical field in both engineering and science. Understanding the behavior of fluids requires solving the Navier–Stokes equation (NSE). However, the NSE is a complex partial differential equation that can be challenging to solve, and classical numerical methods can be computationally expensive. In this paper, we propose enhancing physics-informed neural networks (PINNs) by modifying the residual loss functions and incorporating new computational deep learning techniques. We present two enhanced models for solving the NSE. The first model involves developing the classical PINN for solving the NSE, based on a stream function approach to the velocity components. We have added the pressure training loss function to this model and integrated the new computational training techniques. Furthermore, we propose a second, more flexible model that directly approximates the solution of the NSE without making any assumptions. This model significantly reduces the training duration while maintaining high accuracy. Moreover, we have successfully applied this model to solve the three-dimensional NSE. The results demonstrate the effectiveness of our approaches, offering several advantages, including high trainability, flexibility, and efficiency.

流体力学在工程和科学中都是一个重要的领域。理解流体的行为需要求解Navier-Stokes方程(NSE)。然而,NSE是一个复杂的偏微分方程,求解起来可能很有挑战性,而经典的数值方法在计算上可能很昂贵。在本文中,我们提出通过修改残差损失函数和结合新的计算深度学习技术来增强物理信息神经网络(pinn)。我们提出了求解NSE的两个增强模型。第一个模型涉及基于流函数方法求解速度分量的NSE的经典PINN。我们在该模型中加入了压力训练损失函数,并集成了新的计算训练技术。此外,我们提出了第二个更灵活的模型,该模型直接近似NSE的解,而不做任何假设。该模型显著缩短了训练时间,同时保持了较高的准确性。此外,我们还成功地将该模型应用于求解三维NSE。结果证明了我们的方法的有效性,提供了几个优点,包括高可训练性,灵活性和效率。
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引用次数: 0
Flow resistance co-efficient of meandering river in alluvial plain and its prediction using artificial neural network 冲积平原曲流河流阻力系数及其人工神经网络预测
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-20 DOI: 10.1002/fld.5247
Sayed Sadulla Ahmed, Susmita Ghosh, Abdul Karim Barbhuiya

A proper estimation of flow resistance coefficient of river is essential for precise simulations of river hydraulics. In addition to the cross-sectional geometry and hydraulic parameters, the alignment of the channel affects the flow resistance coefficient in case of meandering rivers. In the present study, a rigorous field study of 131 km along the Barak River was conducted to assess the influence of meandering on the flow resistance coefficient. The values of flow resistance co-efficient were calculated using Chezy and Manning's equations with measured field data and the values from both are compared. However, the variation in the flow resistance co-efficient along the channel calculated from Manning's equation is significantly less as it does not consider the undulation and meandering. Using these field data, an artificial neural network (ANN) model has been developed to predict the cross-sectional averaged flow resistance for meandering river. The model considered the influence of relative curvature, depth of flow, bed particle size, Froude number and Reynolds number including water temperature for accurate predictions of flow resistance coefficient. The ANN model was tested and validated using 237 field data sample. The values of the statistical parameters indicate a very good fit to the training dataset with coefficient of determination (R2) = 0.9566 for training and good fit for testing with R2 = 0.8131. The developed ANN model has been compared with other model with the same data set to check its applicability.

正确估计河流的流阻系数是精确模拟河流水力学的关键。除了断面几何参数和水力参数外,河道的走向还会影响曲流时的流阻系数。本文通过对巴拉克河沿江131 km的实测研究,探讨了曲流对其流阻系数的影响。利用Chezy和Manning方程,结合现场实测数据计算了流动阻力系数的数值,并对两者的数值进行了比较。然而,由于曼宁方程不考虑波动和曲流,计算出的沿通道的流阻系数变化明显较小。利用实测数据,建立了曲流河断面平均流阻预测的人工神经网络模型。该模型考虑了相对曲率、流动深度、床层粒径、弗劳德数和雷诺数(包括水温)对流动阻力系数的影响。利用237个现场数据样本对人工神经网络模型进行了验证。统计参数的值表明与训练数据集的拟合很好,训练的决定系数(R2) = 0.9566,测试的拟合很好,R2 = 0.8131。将所建立的人工神经网络模型与具有相同数据集的其他模型进行了比较,以检验其适用性。
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引用次数: 0
An immersed boundary method-discrete unified gas kinetic scheme simulation of particle-laden turbulent channel flow on a nonuniform orthogonal mesh 在非均匀正交网格上模拟含颗粒湍流通道流的沉浸边界法-离散统一气体动力学方案
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-13 DOI: 10.1002/fld.5246
Kairzhan Karzhaubayev, Lian-Ping Wang, Cheng Peng, Dauren Zhakebayev

Particle-resolved simulations of turbulent particle-laden flows provide a powerful research tool to explore detailed flow physics at all scales. However, efficient particle-resolved simulations for wall-bounded turbulent particle-laden flows remain a challenging task. In this article, we develop a simulation approach for a turbulent channel flow laden with finite-size particles on a nonuniform mesh by combining the discrete unified gas kinetic scheme (DUGKS) and the immersed boundary method (IBM). The standard discrete delta function was modified according to reproducible kernel particle method to take into account mesh non-uniformity and correctly conserve force moments. Simulation results based on uniform and nonuniform meshes are compared to validate and examine the accuracy of the nonuniform mesh DUGKS-IBM. Finally, the computational performance of the nonuniform mesh DUGKS-IBM is discussed.

湍流粒子载荷流的粒子分辨模拟为探索各种尺度的详细流动物理学提供了强大的研究工具。然而,对壁界湍流颗粒载荷流进行高效颗粒分辨模拟仍是一项具有挑战性的任务。在本文中,我们结合离散统一气体动力学方案(DUGKS)和浸没边界法(IBM),开发了一种在非均匀网格上模拟富含有限尺寸颗粒的湍流通道流的方法。根据可重现核粒子法修改了标准离散三角函数,以考虑网格的不均匀性并正确保存力矩。比较了基于均匀网格和非均匀网格的仿真结果,以验证和检验非均匀网格 DUGKS-IBM 的精度。最后,讨论了非均匀网格 DUGKS-IBM 的计算性能。
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引用次数: 0
A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar 沿海地区磷石膏迁移和扩散的快速准确方法:在 Jorf Lasfar 的应用
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-13 DOI: 10.1002/fld.5248
Abdelouahed Ouardghi, Mohammed Seaid, Mofdi El-Amrani, Nabil El Mocayd

We present a numerical method for modelling and simulation of transport and dispersion of phosphogypsum in the Jorf Lasfar coastal zone located on the Atlantic Ocean at Morocco. The governing equations consist of the well-established barotropic ocean model including the barometric pressure, friction terms, Coriolis and wind stresses. To model transport and dispersion of phosphogypsum we consider an advection-diffusion equation with an anisotropic dispersion tensor and source terms. As a numerical solver, we propose a novel multilevel adaptive semi-Lagrangian finite element method. The proposed method combines the modified method of characteristics to deal with convection terms, the finite element discretization to handle complex geometries, a projection-based algorithm to solve the Stokes problem, and an adaptive L2$$ {mathrm{L}}^2 $$-projection using quadrature rules to improve the efficiency and accuracy of the method. Numerical results are presented to demonstrate the high resolution of the proposed method and to confirm its capability to provide accurate and efficient simulations for transport and dispersion of phosphogypsum in the Jorf Lasfar coastal zone.

我们提出了一种数值方法,用于模拟摩洛哥大西洋 Jorf Lasfar 沿海地区磷石膏的迁移和扩散。治理方程由成熟的气压海洋模型组成,包括气压、摩擦项、科里奥利应力和风应力。为了模拟磷石膏的迁移和扩散,我们考虑了一个带有各向异性扩散张量和源项的平流扩散方程。作为数值求解器,我们提出了一种新颖的多级自适应半拉格朗日有限元方法。提出的方法结合了处理对流项的修正特性法、处理复杂几何的有限元离散化、解决斯托克斯问题的基于投影的算法,以及使用正交规则的自适应 L 2 $$ {mathrm{L}}^2 $$ -投影,以提高方法的效率和精度。数值结果表明了所提方法的高分辨率,并证实其有能力对 Jorf Lasfar 沿海地区磷石膏的迁移和扩散进行准确、高效的模拟。
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引用次数: 0
An improved slip-wall model for large eddy simulation and its implementation in the local domain-free discretization method 用于大涡度模拟的改进滑移壁模型及其在局部无域离散法中的应用
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-10 DOI: 10.1002/fld.5244
D. Zhang, C. H. Zhou

In this paper, a slip-wall model for large eddy simulation (LES) is improved and implemented in an immersed boundary method named the local domain-free discretization (DFD) method. Considering that the matching location may be in the viscous sublayer, the physics-based interpretation of a Robin-type wall closure is complemented. Then, the slip-wall wall model is improved, in which the slip length is redefined and the Robin boundary condition is imposed at the solid wall. The improved slip-wall model is implemented in the local DFD method to evaluated the tangential velocity at an exterior dependent node, and then the requirement on high resolution of boundary layers can be alleviated. The non-equilibrium effects are accounted for by adding an explicit correction to the wall shear stress. In order to validate the present wall-modeled LES/DFD method, a series of turbulent channel flows at various Reynolds numbers, the flow over periodic hills and the flows over a NACA 4412 airfoil at a high Reynolds number are simulated. The predicted results agree well with the referenced experimental data and numerical results. Especially, the results of the separated flow over the airfoil at a near-stall condition demonstrate the performance of the present wall-modeled LES/DFD method for complex flows.

本文改进了用于大涡度模拟(LES)的滑壁模型,并在一种名为局部无域离散化(DFD)方法的沉浸边界法中实现了该模型。考虑到匹配位置可能在粘性子层中,对基于物理学的罗宾式滑壁封闭解释进行了补充。然后,对滑移壁模型进行了改进,重新定义了滑移长度,并在实体壁上施加了罗宾边界条件。改进后的滑移壁模型被应用于局部 DFD 方法,以评估外部相关节点的切向速度,从而减轻了对边界层高分辨率的要求。通过对滑壁剪应力进行显式修正,可以考虑非平衡效应。为了验证目前的壁面建模 LES/DFD 方法,模拟了一系列不同雷诺数的湍流通道流、周期性山丘上的流和高雷诺数下 NACA 4412 机翼上的流。预测结果与参考的实验数据和数值结果非常吻合。特别是在近滞流条件下机翼上的分离流结果证明了本壁面建模 LES/DFD 方法在复杂流动中的性能。
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引用次数: 0
Uncertainty quantification and identification of SST turbulence model parameters based on Bayesian optimization algorithm in supersonic flow 基于贝叶斯优化算法的超音速流中 SST 湍流模型参数的不确定性量化与识别
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-02 DOI: 10.1002/fld.5245
Maotao Yang, Mingming Guo, Yi Zhang, Ye Tian, Miaorong Yi, Jialing Le, Hua Zhang

The Reynolds-Averaged Navier–Stokes (RANS) model is the main model in engineering applications today. However, the normal value of the closure coefficient of the RANS turbulence model is determined based on some simple basic flows and may no longer be applicable for complex flows. In this paper, the closure coefficient of shear stress transport (SST) turbulence model is recalibrated by combining Bayesian method and particle swarm optimization algorithm, so as to improve the numerical simulation accuracy of wall pressure in supersonic flow. First, the obtained prior samples were numerically calculated, and the Sobol index of the closure coefficient was calculated by sensitivity analysis method to characterize the sensitivity of the wall pressure to the model parameters. Second, combined with the uncertainty of propagation parameters by non-intrusive polynomial chaos (NIPC). Finally, Bayesian optimization is used to quantify the uncertainty and obtain the maximum likelihood function estimation and optimal parameters. The results show that the maximum relative error of wall pressure predicted by the SST turbulence model decreases from 29.71% to 9.00%, and the average relative error decreases from 9.86% to 3.67% through the parameter calibration of Bayesian optimization method. In addition, the system evaluated the calibration effect of three criteria, and the calibration results parameters under the three criteria were all better than the calculated results of the nominal values. Meanwhile, the velocity profile and density profile of the flow field were also analyzed. Finally, the same calibration method was applied to the supersonic hollow cylinder and BSL (Baseline) turbulence model, and the same calibration results were obtained, which verified the universality of the calibration method.

雷诺平均纳维-斯托克斯(RANS)模型是当今工程应用中的主要模型。然而,RANS 湍流模型闭合系数的正常值是根据一些简单的基本流动确定的,可能不再适用于复杂流动。本文结合贝叶斯方法和粒子群优化算法,对剪应力输运(SST)湍流模型的闭合系数进行了重新标定,以提高超音速流动壁面压力的数值模拟精度。首先,对得到的先验样本进行数值计算,通过敏感性分析方法计算闭合系数的 Sobol 指数,表征壁面压力对模型参数的敏感性。其次,通过非侵入式多项式混沌(NIPC)结合传播参数的不确定性。最后,采用贝叶斯优化法对不确定性进行量化,得到最大似然函数估计值和最优参数。结果表明,通过贝叶斯优化法的参数校准,SST 湍流模型预测的壁压最大相对误差从 29.71% 减小到 9.00%,平均相对误差从 9.86% 减小到 3.67%。此外,系统还评估了三个准则的标定效果,三个准则下的标定结果参数均优于标称值的计算结果。同时,还分析了流场的速度剖面和密度剖面。最后,将相同的标定方法应用于超音速空心圆柱体和 BSL(基线)湍流模型,得到了相同的标定结果,验证了该标定方法的通用性。
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引用次数: 0
A linear low effort stabilization method for the Euler equations using discontinuous Galerkin methods 使用非连续伽勒金方法的欧拉方程线性低强度稳定方法
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-11-01 DOI: 10.1002/fld.5243
Michel Bänsch, Jörn Behrens, Stefan Vater

We present a novel and simple yet intuitive approach to the stabilization problem for the numerically solved Euler equations with gravity source term relying on a low-order nodal Discontinuous Galerkin Method (DGM). Instead of assuming isothermal or polytropic solutions, we only take a hydrostatic balance as a given property of the flow and use the hydrostatic equation to calculate a hydrostatic pressure reconstruction that replaces the gravity source term. We compare two environments that both solve the Euler equations using the DGM: deal.II and StormFlash. We utilize StormFlash as it allows for the use of the novel stabilization method. Without stabilization, StormFlash does not yield results that resemble correct physical behavior while the results with stabilization for StormFlash, as well as deal.II model the fluid flow more accurately. Convergence rates for deal.II do not match the expected order while the convergence rates for StormFlash with the stabilization scheme (with the exceptions for the L2$$ {}_2 $$ errors for momentum) meet the expectation. The results from StormFlash with stabilization also fit reference solutions from the literature much better than those from deal.II. We conclude that this novel scheme is a low cost approach to stabilize the Euler equations while not limiting the flow in any way other than it being in hydrostatic balance.

对于带有重力源项的欧拉方程数值求解,我们提出了一种新颖、简单而直观的方法,即依靠低阶节点非连续伽勒金方法(DGM)来解决稳定问题。我们不假设等温或多向解,只将静水平衡作为流动的给定属性,并使用静水方程计算静水压力重构,以取代重力源项。我们比较了两种均使用 DGM 求解欧拉方程的环境:deal.II 和 StormFlash。我们使用 StormFlash,因为它允许使用新颖的稳定方法。在没有稳定方法的情况下,StormFlash 得出的结果与正确的物理行为并不相似,而 StormFlash 和 deal.II 使用稳定方法得出的结果则能更准确地模拟流体流动。deal.II 的收敛速率与预期阶数不符,而采用稳定方案的 StormFlash 的收敛速率(动量的 L 2 $$ {}_2 $$ 误差除外)符合预期。采用稳定方案的 StormFlash 的结果也比 deal.II 的结果更符合文献中的参考解。我们的结论是,这种新方案是稳定欧拉方程的低成本方法,同时除了流体静力学平衡外,不会以任何方式限制流动。
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引用次数: 0
Implicit coupling methods for nonlinear interactions between a large-deformable hyperelastic solid and a viscous acoustic fluid of infinite extent 大变形超弹性固体与无限范围粘性声学流体之间非线性相互作用的隐式耦合方法
IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-18 DOI: 10.1002/fld.5242
Yapeng Li, Yegao Qu, Guang Meng

This paper addresses the challenges in studying the interaction between high-intensity sound waves and large-deformable hyperelastic solids, which are characterized by nonlinearities of the hyperelastic material, the finite-amplitude acoustic wave, and the large-deformable fluid–solid interface. An implicit coupling method is proposed for predicting nonlinear structural-acoustic responses of the large-deformable hyperelastic solid submerged in a compressible viscous fluid of infinite extent. An arbitrary Lagrangian–Eulerian (ALE) formulation based on an unsplit complex-frequency-shifted perfectly matched layer method is developed for long-time simulation of the nonlinear acoustic wave propagation without exhibiting long-time instabilities. The solid and acoustic fluid domains are discretized using the finite element method, and two different options of staggered implicit coupling procedures for nonlinear structural-acoustic interactions are developed. Theoretical formulations for stability analysis of the implicit methods are provided. The accuracy, robustness, and convergence properties of the proposed methods are evaluated by a benchmark problem, that is, a hyperelastic rod interacting with finite-amplitude acoustic waves. The numerical results substantiate that the present methods are able to provide long-time steady-state solutions for a nonlinear coupled hyperelastic solid and viscous acoustic fluid system without numerical constraints of small time step sizes and long-time instabilities. The methods are applied to investigate nonlinear dynamic behaviors of coupled hyperelastic elliptical ring and acoustic fluid systems. Physical insights into 2:1 and 4:2:1 internal resonances of the hyperelastic elliptical ring and period-doubling bifurcations of the structural and acoustic responses of the system are provided.

高强度声波与大变形超弹性固体之间的相互作用具有超弹性材料、有限振幅声波和大变形流固界面的非线性特征,本文探讨了研究这些相互作用所面临的挑战。本文提出了一种隐式耦合方法,用于预测浸没在无限可压缩粘性流体中的大变形超弹性固体的非线性结构-声学响应。基于非拆分复频移位完全匹配层法的任意拉格朗日-欧勒(ALE)公式被开发出来,用于非线性声波传播的长时间模拟,而不会表现出长时间不稳定性。固体和声学流体域采用有限元法离散化,并针对非线性结构-声学相互作用开发了两种不同的交错隐式耦合程序选项。提供了隐式方法稳定性分析的理论公式。通过一个基准问题,即与有限振幅声波相互作用的超弹性杆,对所提出方法的准确性、鲁棒性和收敛性进行了评估。数值结果证明,本方法能够为非线性耦合超弹性固体和粘性声学流体系统提供长时间稳态解,而不会受到小时间步长和长时间不稳定性的数值限制。这些方法被应用于研究耦合超弹性椭圆环和声流体系统的非线性动力学行为。对超弹性椭圆环的 2:1 和 4:2:1 内部共振以及系统结构和声学响应的周期加倍分岔提供了物理见解。
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引用次数: 0
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International Journal for Numerical Methods in Fluids
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