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Simulating stochastic transport: An efficient random displacement model for multi-domain applications in ecology, hydraulics, and environmental systems 模拟随机输运:在生态、水力学和环境系统中多领域应用的高效随机位移模型
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0032-3
Liu Yang, Zhong-hua Yang, Meng-yang Liu, Yi-dan Ai, Wen-xin Huai

The random displacement model (RDM) can efficiently simulate particle transport processes, which are difficult to observe, incorporating stochastic and hydraulic parameters. In recent decades, it has been used in many domains, including environments, hydraulics, and ecology. However, the results exhibit significant uncertainties arising from the model resolution, hydrodynamic accuracy, intrinsic characteristics of particles, and boundary conditions. The objective of the present study is to comprehensively interpret the RDM from theory to application, and emphasize essential considerations for users in different domains. The study also provides several application strategies for the model, based on several practical RDM cases. Determining the turbulent diffusivity and velocity profiles in complex flow field is a critical step to precisely simulate particle movement. Furthermore, the physical and biological properties of passive and active particles require fundamental investigation to extend the applicability of the model. Existing studies suggest that flexibly coupling the RDM with other numerical models customized to the characteristics of distinct problems will substantially expand the utility of the RDM and could yield innovative approaches for addressing previously intractable issues.

随机位移模型(RDM)结合随机参数和水力参数,能有效地模拟难以观测的颗粒输运过程。近几十年来,它已被应用于许多领域,包括环境、水力学和生态学。然而,由于模型分辨率、流体动力精度、粒子固有特性和边界条件的影响,结果显示出显著的不确定性。本研究的目的是全面解读RDM从理论到应用,并强调不同领域用户的基本考虑。基于几个实际的RDM案例,给出了模型的几种应用策略。确定复杂流场中湍流扩散系数和速度分布是精确模拟粒子运动的关键步骤。此外,需要对被动和主动粒子的物理和生物特性进行基础研究,以扩展模型的适用性。现有研究表明,将RDM与针对不同问题的特征定制的其他数值模型灵活耦合将大大扩展RDM的效用,并可能产生解决以前棘手问题的创新方法。
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引用次数: 0
The mechanisms of air-driven growth of tip vortex cavity 叶顶涡空腔气动生长机理研究
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0034-1
Xin-zhen Qin, Xue-ming Shao, Jian Deng

Tip vortex cavitation (TVC) is a critical phenomenon in propeller and turbine machinery. While much of the existing research on TVC has focused on its inception, the mechanisms driving its continuous growth remain under-explored. In this study, we propose a comprehensive theoretical model that integrates both gas diffusion and free nuclei entrainment to better understand the slow growth of tip vortex cavity. The efficacy of this model is validated by comparing its predicted temporal evolution of cavity size with experimental data, under both nuclei-depleted and large nuclei-injection conditions. Additionally, the model is used to further examine the individual effects of nuclei content and size on tip vortex cavity growth. Results reveal that, in sub-saturated nuclei flow, two critical equilibrium values for cavity size are identified: one determined by the balance of dissolved gases inside the cavity and the surrounding fluid, and the other by the balance between dissolved gases inside the cavity and the surrounding gas nuclei. The cavity stability size gradually shifts from the first to the second critical value as the gas nuclei content increases. However, since the model does not consider the destabilization mechanism of the cavity, the cavity may destabilize before reaching the second critical value. Meanwhile, the cavity growth rate increases significantly with increasing gas nuclei size. This work not only provides a comprehensive explanation for the experimental observations, but also provides new insights into the hysteresis phenomenon observed in TVC.

叶尖涡空化(TVC)是螺旋桨和涡轮机械中的一种重要现象。虽然现有的研究大多集中在TVC的起源上,但其持续增长的机制仍未得到充分探讨。在本研究中,我们提出了一个综合气体扩散和自由核夹带的理论模型,以更好地理解尖端涡腔的缓慢生长。在缺核和大注核两种条件下,通过将模型预测的空腔尺寸的时间演变与实验数据进行比较,验证了该模型的有效性。此外,该模型还用于进一步研究核含量和大小对尖端涡腔生长的个别影响。结果表明,在亚饱和核流中,确定了两个临界平衡值:一个是由腔内溶解气体与周围流体的平衡决定的,另一个是由腔内溶解气体与周围气核的平衡决定的。随着气核含量的增加,空腔稳定尺寸逐渐从第一临界值向第二临界值偏移。然而,由于模型没有考虑空腔的失稳机制,因此在达到第二个临界值之前,空腔可能会失稳。同时,随着气核尺寸的增大,空腔生长速率显著增加。这项工作不仅对实验观察结果提供了全面的解释,而且对TVC中观察到的滞后现象提供了新的见解。
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引用次数: 0
Multiscale modeling of propeller cavitation flows in open water 开阔水域螺旋桨空化流动的多尺度模拟
IF 3.5 3区 工程技术 Pub Date : 2025-08-29 DOI: 10.1007/s42241-025-0036-z
Ben Zhang, Chao-sheng Zheng, Xue-ming Shao, Jian Deng

Cavitation performance is a critical hydrodynamic characteristic of ship propellers, and it has been a key focus in naval architecture research. This study introduces a hybrid multiscale Euler-Lagrange model for unsteady propeller cavitation simulations, incorporating the effects of water quality. A uniform mixture model is used for macroscopic cavity simulation. Under the Lagrangian framework, the dynamics and motion of nuclei and bubbles are resolved. Comparisons with experimental data and numerical results from traditional cavitation models show that the multiscale model accurately predicts cavitation on propeller blades and reproduces certain tip vortex cavitation phenomena. The model’s applicability is validated across different advance coefficients and cavitation numbers, further confirming its robustness in simulating propeller cavitation. Additionally, the study explores the distribution of nuclei and emphasizes the advantages of the multiscale approach in capturing tip vortex cavitation. This research provides a strong foundation for investigating the comprehensive effects of water quality on propeller cavitation and offers promising avenues for future studies in this area.

空化性能是舰船螺旋桨的一项重要水动力特性,一直是舰船工程研究的热点。引入了考虑水质影响的多尺度欧拉-拉格朗日混合非定常螺旋桨空化模拟模型。采用均匀混合模型进行宏观空腔模拟。在拉格朗日框架下,对核和泡的动力学和运动进行了解析。与传统空化模型的实验数据和数值结果对比表明,该多尺度模型能较准确地预测螺旋桨叶片空化现象,并能再现一定的叶顶涡空化现象。通过不同的推进系数和空化数验证了模型的适用性,进一步验证了模型在螺旋桨空化模拟中的鲁棒性。此外,研究还探讨了核的分布,强调了多尺度方法在捕捉尖端涡空化方面的优势。该研究为研究水质对螺旋桨空化的综合影响提供了坚实的基础,并为该领域的进一步研究提供了良好的途径。
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引用次数: 0
Towards improved turbulence modeling: Statistical analysis of Liutex and Liutex-based subgrid models for large eddy simulation 改进湍流模拟:大涡模拟中Liutex和基于Liutex的子网格模型的统计分析
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0024-3
Xin Dong, Zhang-dan Yu, Hai-dong Yu, Yi-qian Wang, Yue-hong Qian

Vortices play a fundamental role in fluid dynamics, but mathematically defining them remains elusive. While many vortex identification methods are scalar-valued, vortices are inherently rotational, vector-based phenomena. Liutex, as a vector quantity, addresses these limitations by accurately capturing the local rotational characteristics of fluid elements while remaining independent of shear influences. This unique property makes Liutex particularly well-suited for vortex identification and the quantitative analysis of turbulent flows. This paper explores the statistical analysis of Liutex in various turbulence regimes and proposes an objective Liutex-based vortex identification method. The objective method is rooted in the statistical properties of Liutex. Furthermore, the paper investigates the performance of Liutex-based subgrid models in large eddy simulation (LES). The effectiveness of these models is evaluated by comparing their performance in different flow conditions, such as decaying homogeneous isotropic turbulence and turbulent channel flows, against conventional models. Results demonstrate that the inclusion of Liutex significantly enhances the ability of subgrid models to accurately capture flow structures. Importantly, the new model maintains the same form regardless of whether strong or weak shear is present, ensuring robustness and consistency in both vortex identification and turbulence modeling. These findings highlight the significant potential of Liutex to improve turbulence modeling in both theoretical and practical contexts, with ongoing research aimed at further refining its theoretical foundations and expanding its application in more complex flow scenarios.

漩涡在流体动力学中扮演着重要的角色,但从数学上定义它们仍然是难以捉摸的。虽然许多涡旋识别方法是标量值的,但涡旋本质上是旋转的、基于矢量的现象。Liutex作为一个矢量,通过准确地捕捉流体单元的局部旋转特性,同时不受剪切影响,解决了这些限制。这种独特的特性使柳特克斯特别适合于涡流识别和湍流的定量分析。本文研究了流场在不同湍流状态下的统计分析,提出了一种客观的基于流场的涡流识别方法。客观方法的基础是柳特素的统计特性。此外,本文还研究了基于liutex的子网格模型在大涡模拟中的性能。通过比较这些模型在不同流动条件下的性能,如衰减均匀各向同性湍流和湍流通道流动,与传统模型进行了有效性评估。结果表明,柳特克斯的加入显著提高了子网格模型准确捕捉流动结构的能力。重要的是,无论存在强剪切还是弱剪切,新模型都保持相同的形式,确保了涡旋识别和湍流建模的鲁棒性和一致性。这些发现突出了Liutex在理论和实践背景下改善湍流建模的巨大潜力,目前正在进行的研究旨在进一步完善其理论基础并扩大其在更复杂流动场景中的应用。
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引用次数: 0
Research on the mechanical equilibrium equation of ice jam 冰塞力学平衡方程的研究
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0028-z
Yin-qin Tang, Jing-wei Feng, Jun Wang, Jueyi Sui, Guowei Li

Ice jams, which are prevalent in rivers of cold regions, can escalate into severe flooding disasters. Understanding variations in ice jam thickness is crucial, generating significant scholarly interest in developing accurate computational methods. Current models primarily rely on mechanical equilibrium equations to estimate ice jam thickness, representing a significant advancement in theoretical research. However, these models often overlook critical factors such as the cohesion of ice jams and the distribution of equilibrium stress across the river’s width, which can undermine their accuracy. This study introduces an enhanced model that incorporates these aspects, thereby improving the mathematical rigor. Validated against empirical data from natural rivers, the proposed model demonstrates strong agreement with observed values. This research not only refines the theoretical framework for calculating ice jam thickness but also improves the prediction and management of ice jam evolution and related disasters in cold regions.

在寒冷地区的河流中普遍存在的冰塞可能会升级为严重的洪水灾害。了解冰塞厚度的变化是至关重要的,在开发准确的计算方法方面产生了重大的学术兴趣。目前的模型主要依靠力学平衡方程来估计冰塞厚度,这是理论研究的重大进展。然而,这些模型往往忽略了关键因素,如冰塞的凝聚力和河流宽度上的平衡应力分布,这可能会破坏它们的准确性。本研究引入了一个包含这些方面的增强模型,从而提高了数学的严谨性。根据自然河流的经验数据进行验证,所提出的模型与观测值非常吻合。该研究不仅完善了冰塞厚度计算的理论框架,而且提高了寒区冰塞演变及相关灾害的预测和管理水平。
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引用次数: 0
Vortex dynamics and wall shear stress from bubble collapse near a particle and a wall 粒子和壁面附近气泡崩塌时的涡旋动力学和壁面剪应力
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0025-2
Xin Wu, Jin-sen Hu, Jia-lu Wang, Zhi-feng Wang, Yu-ning Zhang

Vortex dynamics and wall shear stress induced by cavitation bubble oscillations under the influence of particles are numerically investigated with the aid of a compressible two-phase flow solver in OpenFOAM. The generation, evolution, and disappearance of vortexes for three jet behaviors are discussed in detail. The variations of wall shear stress induced by the jets and the vortexes during the bubble oscillations are analyzed. Numerical results reveal that vortex dynamics is related to bubble evolution and jet behavior. After the jet pierces the bubble, an annular vortex with the bubble as the vortex core is generated by the bubble collapse. For the bubble that collapses near the wall, it generates multiple small vortexes near the wall and causes discontinuities in the wall shear stress. For the bubble that collapses away from the wall, it does not generate vortexes near the wall, and its oscillations cause the wall shear stress to vary periodically with different periods. In addition, the wall shear stress at the axis of symmetry increases abruptly when the jet hits the wall.

利用OpenFOAM软件中的可压缩两相流求解器,对颗粒作用下空化气泡振荡引起的涡流动力学和壁面剪应力进行了数值模拟。详细讨论了涡的产生、演化和消失对三种射流行为的影响。分析了射流和涡流在气泡振荡过程中壁面剪切应力的变化规律。数值结果表明,涡旋动力学与气泡演化和射流行为有关。射流穿透气泡后,气泡坍塌形成以气泡为涡核的环形涡。对于在壁面附近坍塌的气泡,它在壁面附近产生多个小涡,导致壁面剪应力不连续。对于远离壁面坍塌的气泡,它不会在壁面附近产生涡,其振荡导致壁面剪应力随不同周期周期性变化。射流撞击壁面时,对称轴处的壁面剪应力急剧增大。
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引用次数: 0
Unsteady flow characteristics of backflow vortices in an axial-flow pump at low flow rates 低流量轴流泵内回流旋涡的非定常流动特性
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0029-y
Shu-ting Cai, Ren-fang Huang, Zhao-hui Qian, Xian-wu Luo, Yi-wei Wang

Axial flow pumps are widely used in water conservancy, petrochemical and agricultural industries. Efficient operation is crucial for energy conservation and emission reduction. Improving efficiency under severe conditions requires studying the internal flow of axial-flow pumps, particularly at low flow rates where backflow vortices form near the impeller inlet. This study investigates the unsteady flow characteristics of backflow vortices at different flow rates in an axial-flow pump. Results show that backflow vortices form when the flow rate decreases to 0.59Qd. As the flow rate further declines, the backflow vortex progresses upstream, contracts, and rebounds. The flow rate range is divided into three stages: Stage I with no backflow vortex, stage II with initial vortex development extending upstream and relatively fragmented, and stage III with vortex contraction and rebound forming a more coherent structure. Besides, backflow vortices induce significant pressure fluctuations and velocity oscillations with the primary frequency being 0.5 fb. They exhibit a three-dimensional spiral motion involving changes in axial length, self-rotation, and revolution around the pump axis, with an angular velocity of approximately half the impeller’s rotational speed. This work enhances insights into backflow vortex behaviors, which is essential for optimizing pump design and improving operational stability in challenging environments.

轴流泵广泛应用于水利、石油化工、农业等行业。高效运行是节能减排的关键。在恶劣条件下提高效率需要研究轴流泵的内部流动,特别是在低流量时,叶轮入口附近会形成回流涡。研究了轴流泵在不同流量下回流旋涡的非定常流动特性。结果表明:当流量减小到0.59Qd时,回流涡形成;随着流速的进一步下降,回流旋涡向上游推进,收缩并反弹。流量范围分为3个阶段:第1阶段无回流涡,第2阶段初始涡向上游扩展且相对破碎,第3阶段涡收缩回弹形成较为连贯的结构。此外,回流涡会引起明显的压力波动和速度振荡,其频率为0.5 fb。它们表现出三维螺旋运动,包括轴向长度的变化、自旋和围绕泵轴的旋转,角速度约为叶轮转速的一半。这项工作增强了对回流旋涡行为的认识,这对于优化泵的设计和提高在挑战性环境下的运行稳定性至关重要。
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引用次数: 0
Numerical evaluation of human sliding instability risk under overtopping flow on a hydrophilic revetment 亲水护岸上溢流条件下人体滑动失稳风险的数值评价
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0030-5
Tang-zhi Liu, Hong-jie Wen

Hydrophilic revetments serve various pedestrian needs, including walking and wading, but they also confront serious wave overtopping challenges. Pedestrians on these revetments may face instability, falls, or even accidents leading to slipping into the sea due to overtopping flow. This study numerically investigates the hydrodynamic processes of overtopping flow impacting human bodies on a vertical hydrophilic revetment. A human sliding instability model tailored to wave overtopping conditions is developed, analyzing the human instability risks under different orientations (frontal, lateral and oblique), movement postures (stationary, slow walking and brisk walking), and somatotype (children, adults 1 and 2). The findings indicate that pedestrians facing overtopping flow at a 45° angle experience the maximum impact force. While brisk-walking pedestrians generally encounter lower impact forces, the effect of concomitant inertial force doubles their instability risk compared to when stationary. Notably, the instability risk for children is approximately 5.7 times that for adult one when facing wave overtopping. This research can provide a scientific foundation for designing and managing hydrophilic spaces in coastal areas.

亲水护岸服务于各种行人需求,包括步行和涉水,但它们也面临着严重的海浪漫过挑战。在这些护岸上的行人可能会遇到不稳定、跌倒,甚至因溢流而滑入大海的事故。本文对垂直亲水护岸上溢流冲击人体的水动力过程进行了数值研究。建立了适合波浪过顶条件的人体滑动不稳定模型,分析了不同方位(正、侧、斜)、运动姿势(静止、慢走和快走)和体型(儿童、成人1和2)下的人体不稳定风险。研究结果表明,行人面对45°角的过顶流时受到的冲击力最大。虽然快走的行人通常会遇到较低的冲击力,但伴随的惯性力的影响比静止时增加了一倍的不稳定风险。值得注意的是,面对浪涌时,儿童的不稳定风险约为成人的5.7倍。本研究可为沿海地区亲水空间的设计与管理提供科学依据。
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引用次数: 0
Analysis of flow structure and air entrainment around a shallowly submerged hydrofoil based on third-generation vortex identification 基于第三代涡识别的浅沉水翼流场结构与气流夹带分析
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0023-4
Yu-ming Shao, Bo-wei Song, Jian-hua Wang, De-cheng Wan

A shallowly submerged hydrofoil often induces disturbances on the free water surface by generating numerous vortex structures, leading to phenomena such as wave breaking and droplet splashing. These phenomena involve various physical mechanisms. In this study, the third-generation vortex identification technique, Liutex, is employed to perform a detailed analysis of the vortex structures generated by the hydrofoil near the free surface. It is observed that these coherent vortex structures strongly entrain surrounding fluid, resulting in air entrainment and bubble sweep-down phenomena. We analyze the bubble dynamics in terms of bubble number density, volume distribution, and number distribution, revealing the dynamic characteristics of bubbles under the influence of vortex structures. Additionally, by tracking the vortex structures, two distinct forms of air entrainment are identified. The analysis of bubble motion using Liutex demonstrates the evolution and distribution patterns of bubble sizes in the turbulent flow field. The results indicate that the third-generation vortex identification technique, Liutex, effectively explains the mechanisms behind free surface breaking induced by the shallowly submerged hydrofoil.

浅沉水翼通常会在自由水面上产生大量的涡结构,从而引起扰动,导致破波和水滴飞溅等现象。这些现象涉及各种物理机制。本文采用第三代涡识别技术Liutex对水翼在自由水面附近产生的涡结构进行了详细分析。观察到这些相干涡结构强烈地夹带周围流体,导致空气夹带和气泡扫掠现象。从气泡数密度、气泡体积分布、气泡数分布等方面分析了气泡的动力学特性,揭示了气泡在涡结构影响下的动力学特性。此外,通过跟踪涡旋结构,确定了两种不同形式的空气夹带。利用Liutex对气泡运动进行分析,揭示了湍流流场中气泡大小的演化和分布规律。结果表明,第三代涡识别技术(Liutex)有效地解释了浅沉水翼诱导自由面破裂的机理。
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引用次数: 0
Control of cloud cavitating flow around hydrofoils using local active oscillatory surfaces 利用局部主动振荡面控制水翼周围的云空化流
IF 3.5 3区 工程技术 Pub Date : 2025-08-04 DOI: 10.1007/s42241-025-0027-0
Wei Wang, Ye-gao Qu, Hao Liu, Zhi-ke Peng

Partial cavity oscillation is characterized by large-scale cavity shedding and intense pressure pulsations, causing severe damage to hydraulic machines. An incompressible homogeneous two-phase mixture numerical model is employed to investigate the effect of local active oscillatory surfaces on cavitating flows. The surfaces are positioned close to the cavity closure and simulated using an oscillatory velocity boundary to encumber the re-entrant jets. The results show that at high oscillation frequencies, the cavity shedding frequency synchronizes with the excitation frequency, indicating the presence of a lock-in mechanism. Meanwhile, the mean value and the fluctuation amplitude of the vapor volume are significantly reduced, indicating that the cavitation intensity and unsteady behaviors have been effectively weakened by the local active oscillation. Additionally, the high-pressure pulsation region diminishes, and the maximum pulsation amplitude declines. A simplified model manifests that the total vaporization and condensation rates of the entire domain exhibit a periodic variation in response to pressure pulsations. The dynamic mode decomposition (DMD) analysis reveals that small vortices shed from the main flow and dissipate under the influence of local oscillation. This study demonstrates that local active oscillatory surfaces are effective in inhibiting cloud cavitation.

部分空腔振荡的特征是大规模的空腔脱落和强烈的压力脉动,对液压机造成严重的破坏。采用不可压缩均匀两相混合数值模型,研究了局部主动振荡面对空化流动的影响。这些表面被放置在靠近空腔闭合处,并使用振荡速度边界来阻碍再入射流进行模拟。结果表明,在高振荡频率下,空腔脱落频率与激励频率同步,表明存在锁相机制。同时,蒸汽体积的平均值和波动幅度均显著减小,表明局部主动振荡有效地减弱了空化强度和非定常行为。高压脉动区域减小,最大脉动幅值减小。简化模型表明,整个区域的总汽化率和冷凝率随压力脉动呈周期性变化。动态模态分解(DMD)分析表明,在局部振荡的影响下,小涡从主流脱落并消散。该研究表明,局部主动振荡面对抑制云空化是有效的。
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引用次数: 0
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Journal of Hydrodynamics
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