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Investigation on cavitating turbulent flow for the twisted NACA66 hydrofoil using a PANS model with helicity modification 使用带螺旋修正的 PANS 模型研究扭曲 NACA66 水翼的空化湍流
IF 2.5 3区 工程技术 Pub Date : 2024-05-17 DOI: 10.1007/s42241-024-0020-z
Chen Geng, Zhao-hui Qian, Ke-xin Zheng, Wei-xiang Ye, Xian-wu Luo

In the present paper, the unsteady cavitating turbulent flow over the twisted NACA66 hydrofoil is investigated based on an modified shear stress transfer k - ω partially averaged Navier-Stokes (MSST PANS) model, i.e., new MSST PANS (NMSST PANS) model, where the production term of kinetic energy in the turbulence model is modified with helicity. Compared with the experimental data, cavitation evolution and its characteristic frequency are satisfactorily predicted by the proposed NMSST PANS model. It is revealed that the interaction among the main flow, the reentrant jets, and sheet cavitation causes the formation of the primary shedding cavity near the mid-span and the secondary shedding cavity at each side of the twisted hydrofoil, and further induces the remarkable pressure gradient around shedding cavities. Along with the development of the primary and the secondary shedding cavities, the great pressure gradient associated with large cavity volume variation promotes the vortical flow generation and the spatial deformation of vortex structure during cavitation evolution, and results in the primary and the secondary U-type vortices. Further, dynamic mode decomposition (DMD) analysis is utilized to confirm the interaction among the main flow, the main reentrant jet and two side reentrant jets, and cavitation. These results indicate that the proposed NMSST PANS model is suitable to simulate the complicated cavitating turbulent flow for various engineering applications.

本文基于修正的剪应力传递 k - ω 部分平均纳维-斯托克斯(MSST PANS)模型,即新 MSST PANS(NMSST PANS)模型,研究了扭曲 NACA66 水翼上的非稳态空化湍流。与实验数据相比,所提出的 NMSST PANS 模型对空化演化及其特征频率的预测令人满意。结果表明,主流、重入射流和片状空化之间的相互作用导致了扭曲水翼中跨附近一次脱落空腔和两侧二次脱落空腔的形成,并进一步诱发了脱落空腔周围显著的压力梯度。随着一级和二级脱落腔的发展,与大腔容积变化相关的巨大压力梯度促进了空化演化过程中涡流的产生和涡旋结构的空间变形,并产生了一级和二级 U 型涡旋。此外,还利用动态模态分解(DMD)分析确认了主流、主后向射流和两个侧后向射流以及空化之间的相互作用。这些结果表明,所提出的 NMSST PANS 模型适用于模拟各种工程应用中的复杂空化湍流。
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引用次数: 0
Numerical investigations of the interactions between bubble induced shock waves and particle based on OpenFOAM 基于 OpenFOAM 的气泡诱导冲击波与粒子之间相互作用的数值研究
IF 2.5 3区 工程技术 Pub Date : 2024-05-10 DOI: 10.1007/s42241-024-0017-7
Jia-xin Yu, Jin-sen Hu, Yu-hang Liu, Yi-fan Liu, Dan Gao, Yu-ning Zhang

The presence of particles and the shock waves generated by the cavitation bubbles can significantly affect the safety and the performance of hydrodynamic machineries. In the present paper, the shock waves generated by cavitation bubble collapsing near the particle are numerically investigated based on the OpenFOAM together with the numerical schlieren for the shock wave identifications. The numerical results reveal that the stand-off distance is one of the paramount factors affecting the interactions between the particle and the shock waves. Several different kinds of shock waves (e.g., bubble-inception, jet formation, particle reflected and jet-split shock waves) are observed during the bubble collapsing near the particle. For stand-off distance smaller than 0.5 or larger than 1.1, the maximum pressure at particle surface generated by the bubble growth can surpass those of the collapse stage.

颗粒的存在和空化气泡产生的冲击波会严重影响流体动力设备的安全和性能。本文基于 OpenFOAM 对粒子附近空化气泡坍塌产生的冲击波进行了数值研究,并利用数值裂片对冲击波进行了识别。数值结果表明,对峙距离是影响粒子与冲击波之间相互作用的主要因素之一。在粒子附近的气泡坍缩过程中,可以观察到几种不同的冲击波(如气泡吸收、射流形成、粒子反射和射流分裂冲击波)。当对峙距离小于 0.5 或大于 1.1 时,气泡生长在粒子表面产生的最大压力可超过坍塌阶段的压力。
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引用次数: 0
Numerical simulation of liquid sloshing in a spherical tank by MPS method 用 MPS 方法对球形储罐中的液体荡动进行数值模拟
IF 2.5 3区 工程技术 Pub Date : 2024-05-10 DOI: 10.1007/s42241-024-0018-6
Cong-yi Huang, Ji-fei Wang, Wei-wen Zhao, De-cheng Wan

This paper investigates the sloshing phenomena in a spherical liquid tank using the moving particle semi-implicit (MPS) method, a crucial study in fluid dynamics. Distinct from previous research focused on rectangular or LNG tanks, this work explores the unique motion patterns inherent to spherical geometries. The accuracy of our in-house MPS solver MLParticle-SJTU is validated against experimental data and finite volume method (FVM). And the MPS method reveals a closer alignment with experimental outcomes, which suggests that MPS method is particularly effective for modeling complex, non-linear fluid behaviors. Then the fluid’s response to excitation at its natural frequency is simulated, showcasing vigorous sloshing and rotational motion. Detailed analyses of the fluid motion are conducted by drawing streamline diagrams, velocity vector diagrams, and vorticity maps. The fluid’s motion response is explored using both time-domain and frequency-domain curves of the fluid centroid, as well as the sloshing force.

本文使用移动粒子半隐式(MPS)方法研究了球形液体储罐中的荡气现象,这是流体动力学中的一项重要研究。与以往侧重于矩形或液化天然气罐的研究不同,这项工作探索了球形几何固有的独特运动模式。我们的内部 MPS 求解器 MLParticle-SJTU 的精度通过实验数据和有限体积法 (FVM) 得到了验证。结果表明,MPS 方法与实验结果更接近,这表明 MPS 方法对复杂的非线性流体行为建模特别有效。然后模拟了流体在其固有频率下受到激励时的响应,展示了剧烈的荡动和旋转运动。通过绘制流线图、速度矢量图和涡度图,对流体运动进行详细分析。利用流体中心点的时域和频域曲线以及荡力来探索流体的运动响应。
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引用次数: 0
Features and formulae of sediment incipient motion in vegetated flow environment 植被流环境中沉积物初始运动的特征和公式
IF 2.5 3区 工程技术 Pub Date : 2024-04-29 DOI: 10.1007/s42241-024-0016-8
Yu-xuan Xu, Wei-jie Wang, Shi-bao Zhang, Han-qing Zhao, Xue-kai Chen, Hai-ping Zhang

Aquatic vegetation is a vital component of natural river ecosystems, playing a crucial role in maintaining ecological balance, providing habitat and improving water quality. However, the presence of vegetation results in increased resistance in vegetated channels compared with non-vegetated channels, rendering traditional sediment movement predictions inadequate for the latter. Consequently, the concept of a vegetation influence factor, denoted by CDah, has been proposed by previous researchers to represent the effect of vegetation on sediment movement in watercourses. In this study, we focus on exploring the vegetation resistance coefficient (CD) among the vegetation influence factors, evaluating two different calculation methods for vegetation resistance coefficient, and presenting two expressions through genetic algorithm analysis to predict the incipient flow velocity of sediment in vegetated watercourses. The predicted values from the new formulae show excellent agreement with measured data, highlighting the high accuracy of the proposed methods in predicting the incipient flow velocity of sediment. Our results provide a solid theoretical basis for understanding the influence of aquatic vegetation on sediment particle movement.

水生植被是自然河流生态系统的重要组成部分,在维持生态平衡、提供栖息地和改善水质方面发挥着至关重要的作用。然而,与无植被河道相比,植被的存在会导致有植被河道的阻力增加,从而使传统的泥沙运动预测方法无法适用于无植被河道。因此,前人提出了植被影响因子的概念(用 CDah 表示),以表示植被对河道泥沙运动的影响。在本研究中,我们重点探讨了植被影响因子中的植被阻力系数(CD),评估了植被阻力系数的两种不同计算方法,并通过遗传算法分析提出了两种表达式,用于预测植被河道中泥沙的初始流速。新公式的预测值与实测数据非常吻合,表明所提出的方法在预测泥沙初始流速方面具有很高的准确性。我们的研究结果为理解水生植被对泥沙颗粒运动的影响提供了坚实的理论基础。
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引用次数: 0
Research on blade tip clearance cavitation and turbulent kinetic energy characteristics of axial flow pump based on the partially-averaged Navier-Stokes model 基于部分平均纳维-斯托克斯模型的轴流泵叶尖间隙气蚀和湍流动能特性研究
IF 2.5 3区 工程技术 Pub Date : 2024-04-18 DOI: 10.1007/s42241-024-0014-x
Xiao-qi Jia, Shuai-kang Zhang, Zu-chao Zhu

To reveal the cavitation forms of tip leakage vortex (TLV) of the axial flow pump and the flow mechanism of the flow field, this research adopts the partially-averaged Navier-Stokes (PANS) model to simulate the cavitation values of an axial flow pump, followed by experimental validation. The experimental result shows that compared with the shear stress transport (SST) k - ω model, the PANS model significantly reduces the eddy viscosity of the flow field to make the vortex structure clearer and allow the turbulence scale to be more robustly analyzed. The cavitation area within the axial flow pump mainly comprises of TLV cavitation, clearance cavitation and tip leakage flows combined effect of triangular cloud cavitation formed. The formation and development of cavitation are accompanied by the formation and evolution of vortex, and variations in vortex structure also generate and promote the development of cavitation. In addition, an in-depth analysis of the relationship between the turbulent kinetic energy (TKE) transport equation and cavitation patterns was also conducted, finding that the regions with relatively high TKE are mainly distributed around gas/liquid boundaries with serious cavitation and evident gas-liquid change. This phenomenon is mainly attributed to the combined effect of the pressure action term, stress diffusion term and TKE production term.

为了揭示轴流泵尖端泄漏涡(TLV)的空化形式和流场的流动机理,本研究采用部分平均纳维-斯托克斯(PANS)模型模拟轴流泵的空化值,并进行了实验验证。实验结果表明,与剪应力传输(SST)k - ω 模型相比,PANS 模型显著降低了流场的涡粘度,使涡旋结构更加清晰,湍流尺度分析更加稳健。轴流泵内的空化区主要由 TLV 空化、间隙空化和泵尖泄漏流共同作用形成的三角云空化组成。气蚀的形成和发展伴随着涡流的形成和演变,涡流结构的变化也会产生和促进气蚀的发展。此外,还深入分析了湍流动能(TKE)传输方程与空化形态之间的关系,发现TKE相对较高的区域主要分布在空化严重、气液变化明显的气/液边界周围。这种现象主要归因于压力作用项、应力扩散项和 TKE 产生项的共同作用。
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引用次数: 0
High-precision parallel computing model of solute transport based on GPU acceleration 基于 GPU 加速的溶质迁移高精度并行计算模型
IF 2.5 3区 工程技术 Pub Date : 2024-04-18 DOI: 10.1007/s42241-024-0015-9
Shang-hong Zhang, Rong-qi Zhang, Wen-da Li, Xi-yan Yang, Yang Zhou

The scenario simulation analysis of water environmental emergencies is very important for risk prevention and control, and emergency response. To quickly and accurately simulate the transport and diffusion process of high-intensity pollutants during sudden environmental water pollution events, in this study, a high-precision pollution transport and diffusion model for unstructured grids based on Compute Unified Device Architecture (CUDA) is proposed. The finite volume method of a total variation diminishing limiter with the Kong proposed r-factor is used to reduce numerical diffusion and oscillation errors in the simulation of pollutants under sharp concentration conditions, and graphics processing unit acceleration technology is used to improve computational efficiency. The advection diffusion process of the model is verified numerically using two benchmark cases, and the efficiency of the model is evaluated using an engineering example. The results demonstrate that the model perform well in the simulation of material transport in the presence of sharp concentration. Additionally, it has high computational efficiency. The acceleration ratio is 46 times the single-thread acceleration effect of the original model. The efficiency of the accelerated model meet the requirements of an engineering application, and the rapid early warning and assessment of water pollution accidents is achieved.

水环境突发事件的情景模拟分析对于风险防控和应急响应非常重要。为了快速、准确地模拟突发水环境污染事件中高强度污染物的输运和扩散过程,本研究提出了一种基于计算统一设备架构(CUDA)的非结构网格高精度污染输运和扩散模型。在模拟污染物急剧浓度条件下的扩散和振荡数值误差时,采用了孔氏提出的r因子的总变异递减限制器有限体积法,并利用图形处理单元加速技术提高了计算效率。利用两个基准案例对模型的平流扩散过程进行了数值验证,并通过一个工程实例对模型的效率进行了评估。结果表明,该模型在模拟急剧集中情况下的物质传输时表现良好。此外,它还具有很高的计算效率。加速比是原始模型单线程加速效果的 46 倍。加速模型的效率满足了工程应用的要求,实现了水污染事故的快速预警和评估。
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引用次数: 0
Characteristics of turbulent flow in 3-D pools in the presence of submerged rigid vegetation in channel bed 河床中存在沉水刚性植被时三维水池中湍流的特征
IF 2.5 3区 工程技术 Pub Date : 2024-04-11 DOI: 10.1007/s42241-024-0009-7
Kourosh Nosrati, Hossein Afzalimehr, Jueyi Sui, Hamid Reza Reisifar

In this study, the interaction between 3-D bedforms and submerged rigid vegetation has been investigated. Various laboratory experiments were conducted to study the distribution of flow velocity, Reynolds shear stress, turbulent kinetic energy, and skewness coefficients for a constant density of vegetation. Results showed that the velocity profile in the pool section deviates from those in the upstream section of the pool. It has been found that the dip parameter varied between 0.6H and 0.9H depending on various factors including bed roughness, vegetation distribution, and pool entrance/exit slopes. However, scattered vegetation in the pool and differences in slopes created non-uniform flow conditions. Also, in the wake region behind each vegetated element, flow velocity reduced significantly, and small-scale eddies are formed, causing increased perturbations. By decreasing the entrance slope and bed roughness, relatively uniform flow and weaker turbulence was resulted, but the random distribution of vegetated elements counteracted this balance and intensified turbulence. With the decrease in the pool entrance slope, the contribution of sweep event decreased and the contribution of ejection event increased.

本研究探讨了三维床面与水下刚性植被之间的相互作用。通过各种实验室实验,研究了在植被密度不变的情况下,流速、雷诺切应力、湍流动能和偏斜系数的分布情况。结果表明,水池段的流速分布与水池上游段的流速分布存在偏差。研究发现,倾角参数在 0.6H 和 0.9H 之间变化,取决于各种因素,包括河床粗糙度、植被分布和水池出入口坡度。然而,水池中分散的植被和斜坡的差异造成了不均匀的水流条件。此外,在每个植被单元后面的尾流区域,流速明显降低,形成了小尺度涡流,导致扰动增加。通过降低入口坡度和池床粗糙度,水流相对均匀,湍流减弱,但植被的随机分布抵消了这种平衡,加剧了湍流。随着水池入口坡度的减小,横扫事件的作用减小,而喷射事件的作用增大。
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引用次数: 0
Vortex identification based on the Liutex method and its effect on fish passage upstream 基于柳特克斯法的涡流识别及其对上游鱼类通道的影响
IF 2.5 3区 工程技术 Pub Date : 2024-04-11 DOI: 10.1007/s42241-024-0010-1
Chun-ying Shen, Rui-guo Yang, Xiao-tao Shi, Ming-ming Wang, Shi-hua He

Fishway research is important for mitigating the fragmentation of river habitats caused by hydraulic projects. The vertical slit fishway is a broadly used fishway type because of its high efficiency and adaptability to water levels. However, the resulting vortex current disrupts the fish passage hence directly affecting fish migration. This study aims to accurately capture the vortex structure in the fishway and analyze the effect of vortex elements (vortex structure, vortex intensity, etc.) on fish. We conducted an analysis of the 3-D current flow field in the fishway through the utilization of an experimental model and the large eddy simulation (LES) method. Moreover, we captured the vortex information in the fishway at different flow rates using the Liutex vortex identification method and investigated the effect of the vortex on fish migration. The results revealed that the structures inside the fishway pool occupy most of the room, however, the areas with higher vortex strength were primarily located in the vortex near the vertical seam and the mainstream, the vortex strength inside the fishway gradually increases with increasing flow, suppressing fish migration. Fish experienced significantly increased resistance when encountering strong vortices. This suggests that the vortex may act as a physical barrier to fish migration. These findings highlight the potential negative effects of vortex on fish movement and reiterate the importance of understanding vortex dynamics for aquatic environmental management. As an effective tool for identifying vortices in fluid flow, the Liutex method demonstrates features of vortex within the fishway, thereby providing important insights into the interaction between fluid dynamics and aquatic organisms.

鱼道研究对于缓解水利工程造成的河流生境破碎化非常重要。垂直缝隙式鱼道因其高效率和对水位的适应性而被广泛使用。然而,由此产生的涡流会破坏鱼类通道,从而直接影响鱼类洄游。本研究旨在准确捕捉鱼道中的涡流结构,并分析涡流要素(涡流结构、涡流强度等)对鱼类的影响。我们利用实验模型和大涡度模拟(LES)方法对鱼道中的三维水流流场进行了分析。此外,我们还利用 Liutex 涡流识别方法捕捉了鱼道内不同流速下的涡流信息,并研究了涡流对鱼类洄游的影响。结果表明,鱼道水池内的结构占据了大部分空间,但涡流强度较高的区域主要位于垂直缝和主流附近的涡流中,鱼道内的涡流强度随着流量的增加而逐渐增大,抑制了鱼类的洄游。鱼类在遇到强涡流时遇到的阻力明显增大。这表明漩涡可能成为鱼类洄游的物理障碍。这些发现强调了涡流对鱼类洄游的潜在负面影响,并重申了了解涡流动力学对水生环境管理的重要性。作为识别流体流动中涡旋的有效工具,Liutex 方法展示了鱼道内涡旋的特征,从而为了解流体动力学与水生生物之间的相互作用提供了重要的启示。
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引用次数: 0
Experimental and numerical investigation of the impacts of rotor tip-rake on excitation forces of pump-jet propulsors 转子尖耙对泵喷推进器激振力影响的实验和数值研究
IF 2.5 3区 工程技术 Pub Date : 2024-04-11 DOI: 10.1007/s42241-024-0011-0
Xue-qin Ji, Xiao-song Zhang, Chen-jun Yang, Xiao-qian Dong

The tip-clearance flow in a pump-jet propulsor exerts great impacts on the fluctuating pressures and resultant unsteady forces, which are important sources of structural vibrations and radiated noise underwater. The blade geometry close to the tip is an important factor determining the vortex strength in the tip-clearance flow. In the open-water condition, the effects of raking the rotor tips on the duct-surface fluctuating pressures and the resultant unsteady forces acting on different components of the propulsor are investigated via physical model experiments and the numerical solution of Reynolds-averaged Navier-Stokes (RANS) equations coupled with the SST k - ω turbulence model. The measured and simulated results of hydrodynamic pressures are consistent to each other, and the simulated flows help better understand why the fluctuating pressures change with the tip geometry. The strong fluctuations of duct-surface pressures are caused by intensive tip separation vortices. The duct-surface pressure fluctuations are effectively reduced by using the rake distribution near the tip towards blade back side and, for the combination of the five-bladed rotor and the seven-bladed stator, the resultant unsteady horizontal (and vertical) forces acting on the duct and stator are also reduced; while increasing rake leads to negative effect on pressure fluctuations and unsteady horizontal (and vertical) forces acting on all the components of the propulsor.

泵-喷气推进器中的顶端清除流对波动压力和由此产生的不稳定力有很大影响,而这些压力和不稳定力是水下结构振动和辐射噪声的重要来源。靠近叶尖的叶片几何形状是决定叶尖清流中涡流强度的重要因素。在开阔水域条件下,通过物理模型试验和雷诺平均纳维-斯托克斯(RANS)方程与 SST k - ω 湍流模型耦合的数值求解,研究了转子尖端耙流对管道表面波动压力的影响,以及由此产生的作用于推进器不同部件的不稳定力。流体动力压力的测量和模拟结果是一致的,模拟流有助于更好地理解波动压力随尖端几何形状变化的原因。管道表面压力的强烈波动是由密集的尖端分离漩涡引起的。通过在叶尖附近使用向叶片背面的耙分布,可有效减少风道表面压力波动;对于五叶转子和七叶定子的组合,作用在风道和定子上的不稳定水平(和垂直)力也会减少;而增加耙分布则会对压力波动和作用在推进器所有部件上的不稳定水平(和垂直)力产生负面影响。
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引用次数: 0
On the two-layer high-level Green-Naghdi model in a general form 关于一般形式的两层高层格林-纳格迪模型
IF 2.5 3区 工程技术 Pub Date : 2024-04-11 DOI: 10.1007/s42241-024-0012-z
Bin-bin Zhao, Tian-yu Zhang, Zhan Wang, Wen-yang Duan, Alexander Chesnokov, Natalia Shmakova

The traditional high-level Green-Naghdi (HLGN) model, which uses the polynomial as the shape function to approximate the variation of the horizontal- and vertical-velocity components along the vertical direction for each-fluid layer, can accurately describe the large-amplitude internal waves in a two-layer system for the shallow configuration (h2 / λ 1, h1 / λ 1). However, for the cases of the deep configuration (h2 / λ 1, h1 / λ = O(1)), higher-order polynomial is needed to approximate the variation of the velocity components along the vertical direction for the lower-fluid layer. This, however, introduces additional unknowns, leading to a significant increase in computational time. This paper, for the first time, derives a general form of the HLGN model for a two-layer fluid system, where the general form of the shape function is used during the derivation. After obtaining the general form of the two-layer HLGN equations, corresponding solutions can be obtained by determining the reasonable shape function. Large-amplitude internal solitary waves in a deep configuration are studied by use of two different HLGN models. Comparison of the two HLGN models shows that the polynomial as the shape function for the upper-fluid layer and the production of exponential and polynomial as the shape function for the lower-fluid layer is a good choice. By comparing with Euler’s solutions and the laboratory measurements, the accuracy of the two-layer HLGN model is verified.

传统的高阶格林-纳格迪(HLGN)模型使用多项式作为形状函数来逼近各流体层沿垂直方向的水平速度分量和垂直速度分量的变化,对于浅层构造(h2 /λ ≪ 1, h1 /λ ≪ 1)可以精确描述双层系统中的大振幅内波。然而,对于深配置(h2 / λ ≪ 1, h1 / λ = O(1))的情况,需要用高阶多项式来逼近下流体层沿垂直方向的速度分量变化。然而,这会引入额外的未知数,导致计算时间大幅增加。本文首次推导出双层流体系统 HLGN 模型的一般形式,在推导过程中使用了形状函数的一般形式。在得到两层 HLGN 方程的一般形式后,通过确定合理的形状函数就可以得到相应的解。利用两种不同的 HLGN 模型研究了深构造中的大振幅内孤波。对两种 HLGN 模型的比较表明,上流体层的形状函数采用多项式,下流体层的形状函数采用指数和多项式的组合是一种很好的选择。通过与欧拉解法和实验室测量结果的比较,验证了双层 HLGN 模型的准确性。
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引用次数: 0
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Journal of Hydrodynamics
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