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Spectral and statistical analysis of bow wave breaking characteristics of KCS ship KCS 船舶船首破浪特性的频谱和统计分析
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0054-2
Xin-yi Li, Feng-jun Bao, Jian-hua Wang, De-cheng Wan, Jian Xu

Bow wave breaking is a common phenomenon during ship navigation, especially at a high speed, involving complex physical mechanism such as interface mixing, air entrainment, and jet splashing. This study uses the delayed detached eddy simulation (DDES) turbulence model on the OpenFOAM platform to simulate flow around a KRISO Container Ship (KCS) model for a Froude number of 0.35, examining trim angles of 0°, 0.5°, 1°. This paper analyzes the statistical and power spectral density (PSD) characteristics of bow wave heights. The analysis shows root mean square (rms) and mean difference between top and bottom views indicate wave breaking. As the trim angle increases, peaks of rms in the bottom view become much higher than that in the top view, reaching 38% at 1°. PSD analysis reveals that resistance and wave height periods differ by no more than 5%, with small-scale structures like jetting and splashing causing non-dominant periodic and high-frequency wave height variations.

船首破浪是船舶航行过程中的一种常见现象,尤其是在高速航行时,涉及界面混合、空气夹带和喷射飞溅等复杂的物理机制。本研究使用 OpenFOAM 平台上的延迟分离涡模拟(DDES)湍流模型模拟了 KRISO 集装箱船(KCS)模型周围的流动,弗劳德数为 0.35,考察了 0°、0.5°、1° 的修整角。本文分析了船首波高的统计和功率谱密度 (PSD) 特征。分析结果表明,均方根(rms)和上下视图之间的均值差预示着破浪。随着修整角的增大,底视图的均方根峰值远高于顶视图,在 1° 时达到 38%。PSD 分析表明,阻力和波高周期相差不超过 5%,喷射和飞溅等小尺度结构导致非主要的周期性高频波高变化。
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引用次数: 0
Comparison of DES and URANS: Estimation of fluctuating pressure from URANS simulations in stilling basins DES 与 URANS 的比较:通过 URANS 模拟估算静水池中的波动压力
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0055-1
Kang Liu, Hao-ran Wang, Yong-can Chen, Hui Xie, Zhao-Wei Liu

This study conducts a comparative analysis between detached eddy simulation (DES) and Unsteady Reynolds-averaged Navier-Stokes (URANS) models for simulating pressure fluctuations in a stilling basin, aiming to assess the URANS mode’s performance in modeling pressure fluctuation. The URANS model predicts accurately a smoother flow field and its time-average pressure, yet it underestimates the root mean square of pressure (RMSP) fluctuation, achieving approximately 70% of the results predicted by DES model on the bottom floor of the stilling basin. Compared with DES model’s results, which are in alignment with the Kolmogorov −5/3 law, the URANS model significantly overestimates low-frequency pulsations, particularly those below 0.1 Hz. We further propose a novel method for estimating the RMSP in the stilling basin using URANS model results, based on the establishment of a quantitative relationship between the RMSP, time-averaged pressure, and turbulent kinetic energy in the boundary layer. The proposed method closely aligns with DES results, showing a mere 15% error level. These findings offer vital insights for selecting appropriate turbulence models in hydraulic engineering and provide a valuable tool for engineers to estimate pressure fluctuation in stilling basins.

本研究对脱离涡模拟(DES)和非稳态雷诺平均纳维-斯托克斯(URANS)模型模拟静止水池中的压力波动进行了对比分析,旨在评估 URANS 模式在压力波动建模方面的性能。URANS 模型准确预测了更平滑的流场及其时间平均压力,但低估了压力均方根(RMSP)波动,在静压池底层的预测结果约为 DES 模型的 70%。DES 模型的结果符合 Kolmogorov -5/3 定律,与之相比,URANS 模型明显高估了低频脉动,尤其是 0.1 Hz 以下的脉动。我们进一步提出了一种利用 URANS 模型结果估算静止盆中 RMSP 的新方法,该方法基于边界层中 RMSP、时间平均压力和湍流动能之间定量关系的建立。所提出的方法与 DES 的结果非常吻合,误差仅为 15%。这些发现为水利工程中选择合适的湍流模型提供了重要启示,并为工程师估算静压池压力波动提供了宝贵工具。
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引用次数: 0
Heat transfer and flow structure in centrally-confined 2-D Rayleigh-Bénard convection 集中封闭的二维瑞利-贝纳德对流中的传热和流动结构
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0058-y
Cong Sun, Jian-zhao Wu, Xiao-hui Meng, Cai-xi Liu, Wei Xu, Yu-hong Dong, Quan Zhou

Through direct numerical simulations, we investigated the flow structure and heat transfer of the centrally confined 2-D Rayleigh-Bénard (RB) convection over the Rayleigh number range 9 × 105Ra ≤ 109 at a fixed Prandtl number Pr = 4.3. It is found that with increasing Ra, the number of convection rolls in the central vertical channel increases from zero to three. When there is no rolls in the vertical channel, the convective flow in central region is significantly influenced by the boundary layer, whereas when the convection rolls is generated in the vertical channel, the convective flows in central regions is free from the boundary layer limitation, and by defining the characteristic length, one obtains the heat transfer scaling law relation in vertical channel, i.e., NuvcRa 0.476±0.005vc , which could be the evidence of “ultimate regime”.

通过直接数值模拟,我们研究了在固定普朗特数 Pr = 4.3 条件下,雷利数范围 9 × 105 ≤ Ra ≤ 109 的中心约束二维雷利-贝纳德(RB)对流的流动结构和传热。研究发现,随着 Ra 的增加,中央垂直通道中的对流辊数从零增加到三个。当垂直通道中没有对流辊时,中心区域的对流受边界层的影响很大,而当垂直通道中产生对流辊时,中心区域的对流不受边界层的限制,通过定义特征长度,可以得到垂直通道中的传热比例关系,即 Nuvc ∼ Ra 0.476±0.005vc ,这可能是 "终极制度 "的证据。
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引用次数: 0
Numerical study of air cavity characteristics of bow wave breaking of KCS ship under different speeds 不同航速下 KCS 船首破浪气腔特性的数值研究
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0056-0
Tian-yi Mao, Feng-jun Bao, Jian-hua Wang, De-cheng Wan, Zhao-jie Wang

Ship bow wave breaking contains complex flow mechanism, which is very important for ship performance. In this study, a practical numerical simulation scheme for bow wave breaking is proposed and the scheme is applied to the simulation of bow wave breaking of KCS ship model with Fr = 0.26, 0.30, 0.35, 0.40, analyzing the impact of speed on the bow wave breaking. The results indicate that an increase in speed leads to a significant rise in viscous pressure resistance and more pronounced bow wave breaking. Moreover, it is found that the traditional wave height function in OpenFOAM is not suitable for detailed studies of bow wave breaking. This study extracts different free surfaces through top and bottom views to further analyze the free surface overturning, droplet splashing, and cavity entrainment in bow wave breaking. Additionally, the spatial and temporal distribution of cavities at Fr = 0.40 is analyzed, revealing that cavity distribution is closely related to vortex structures and exhibits a periodic pulsation characteristic of approximately 12 s.

船首破浪包含复杂的流动机制,对船舶性能非常重要。本研究提出了一种实用的艏部破浪数值模拟方案,并将该方案应用于 KCS 船模(Fr = 0.26、0.30、0.35、0.40)的艏部破浪模拟,分析了航速对艏部破浪的影响。结果表明,航速增加会导致粘压阻力显著上升,艏部破浪更加明显。此外,研究还发现 OpenFOAM 中的传统波高函数并不适合对艏波破碎进行详细研究。本研究通过顶视图和底视图提取了不同的自由面,进一步分析了弓形波破碎过程中的自由面翻转、液滴飞溅和空腔夹带。此外,还分析了 Fr = 0.40 时空腔的时空分布,发现空腔分布与涡旋结构密切相关,并表现出约 12 秒的周期性脉动特征。
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引用次数: 0
Effects of logjams on river hydrodynamics under inundation conditions 在淹没条件下,木桩对河流流体力学的影响
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0057-z
Huai-jian Bao, Ping Wang, Wei-jie Wang, Yu-yan Liu, Tian-jiao Feng

Large wood in rivers can lead to accumulations in the river channel, affecting local flow structures, aquatic habitats, and the river’s topography. This plays a crucial role in the ecological restoration of the river. This paper presents flow field measurements downstream of six types of logjams at different flow velocities using acoustic Doppler velocimetry (ADV) for artificially designed engineered logjams. The results indicate that the presence of logjams reduces the flow velocity and increases the turbulent kinetic energy in the wake region, and as the distance downstream increases, the flow velocity and turbulence intensity in the wake region gradually return to the upstream level. The minimum values of normalized flow velocity under different conditions are located in the region of the bottommost logs. The differences in normalized flow velocity at various flow rates are not significant. Jets are less likely to be generated in logjams with larger and more concentrated projection areas, but the strength of the jet is influenced by the physical structure of the logjam (projection area, gap ratio). The flow distribution behind the logjam is primarily influenced by the proportion of the projected area in different regions. Changes in the vertical physical structure of the logjam have minimal effect on the lateral flow distribution. Flow velocity in the gap area (b0) at the bottom of different logjams is influenced by their physical structure. The larger the overall blockage area of the logjams, the larger the flow velocity in the bottom gap area will be. The flow velocity in the bottom gap area of a densely placed logjam is mainly influenced by the gap ratio. The velocity of flow in the gap area can impact the initiation and deposition of sediment near the logjam. However, the internal structure complexity of the logjam does not significantly affect river energy dissipation and flow attenuation. This study broadens the applicability of certain theoretical models and explores the impact of logjams on river ecology and channel geomorphology. The findings can serve as a theoretical foundation for ecological restoration, timber management, and logjam construction in rivers.

河流中的大木头会导致河道堆积,影响当地的水流结构、水生栖息地和河流地形。这对河流的生态恢复起着至关重要的作用。本文利用声学多普勒测速仪(ADV)对人工设计的工程木桩在不同流速下的六种类型的木桩下游进行了流场测量。结果表明,木桩的存在降低了尾流区的流速并增加了湍流动能,随着下游距离的增加,尾流区的流速和湍流强度逐渐恢复到上游水平。不同条件下归一化流速的最小值都位于最底层原木区域。不同流速下的归一化流速差异不大。在投影面积更大、更集中的原木卡组中,不太可能产生射流,但射流的强度会受到原木卡组物理结构(投影面积、间隙比)的影响。逻各斯堵塞后的水流分布主要受不同区域投影面积比例的影响。木塞垂直物理结构的变化对横向流分布的影响很小。不同木塞底部间隙区域(b0)的流速受木塞物理结构的影响。木塞的整体阻塞面积越大,底部缝隙区域的流速就越大。密集布置的原木堵塞底部间隙区域的流速主要受间隙比的影响。间隙区的流速会影响木塞附近沉积物的形成和沉积。然而,木桩内部结构的复杂程度对河流消能和水流衰减的影响并不大。这项研究拓宽了某些理论模型的适用范围,并探索了木桩对河流生态和河道地貌的影响。研究结果可作为河流生态恢复、木材管理和木桩施工的理论基础。
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引用次数: 0
Analysis of clearance flow of a fuel pump based on dynamical mode decomposition 基于动力学模式分解的燃油泵间隙流分析
IF 2.5 3区 工程技术 Pub Date : 2024-09-27 DOI: 10.1007/s42241-024-0059-x
Wei-long Guang, Qiang Liu, Fa-ye Jin, Ran Tao, Ruo-fu Xiao

The flow field structure within the clearances of turbomachinery is complex and diverse, exhibiting high-dimensional nonlinearity. How to accurately extract the main structures that affect the internal flow within the turbine from the complex clearance flow has always been a key issue. To explore the impact of the dynamic structure of the clearance flow on the mainstream region in a centrifugal pump, this study combines the dynamic mode decomposition (DMD) method to conduct a thorough analysis of the velocity and pressure pulsation frequencies in the multi-physics fields within the clearance. The study has identified the main characteristic structures under different physical conditions in the clearance and has established the relationship between the characteristic structure frequencies in different physical fields and the impeller frequency. The research indicates that the internal flow within the clearance affects the occurrence of vortices in the volute. Under design conditions, the velocity field within the clearance is primarily influenced by high-order harmonic frequencies of the impeller, and the pressure field is mainly affected by low-order harmonic frequencies of the impeller. This reflects the crucial influence of impeller frequency and inlet flow on the coherent structures within the clearance flow. The research results offer new insights and methods for analyzing complex internal flows in large turbomachinery.

透平机械间隙内的流场结构复杂多样,呈现出高维非线性特征。如何从复杂的间隙流中准确提取影响涡轮机内部流动的主要结构一直是一个关键问题。为了探索间隙流动态结构对离心泵主流区的影响,本研究结合动态模态分解(DMD)方法,对间隙内多物理场的速度和压力脉动频率进行了深入分析。研究确定了间隙内不同物理条件下的主要特征结构,并建立了不同物理场中的特征结构频率与叶轮频率之间的关系。研究表明,间隙内的内部流动会影响涡流在涡槽中的出现。在设计条件下,间隙内的速度场主要受叶轮高阶谐波频率的影响,而压力场主要受叶轮低阶谐波频率的影响。这反映了叶轮频率和入口流量对间隙流内相干结构的重要影响。研究成果为分析大型透平机械的复杂内部流动提供了新的见解和方法。
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引用次数: 0
Actuator line method flow structures and morphology interaction around a monopile-supported tidal stream turbine using the actuator line–Sediment transport coupling simulation 利用推杆线-沉积物输运耦合模拟单桩支撑潮汐流涡轮机周围的推杆线法水流结构和形态相互作用
IF 2.5 3区 工程技术 Pub Date : 2024-09-13 DOI: 10.1007/s42241-024-0052-4
Xiang-feng Lin, Ji-sheng Zhang, Jin-hai Zheng, Da-wei Guan, Xu Deng

Marine turbines have been extensively utilized to harness tidal stream energy from free-flowing tides and currents. However, the assessment of the influences of these marine structures on the surrounding environment is still in its early stage. In this study, a numerical model that couples hydrodynamics and sediment transport is developed to simulate the scour processes around a monopile-supported horizontal axial tidal stream turbine under steady currents. The flow characteristics are calculated by solving the 3-D Navier-Stokes equations with the k -ω shear stress transport (SST) turbulence model for closure. The simulation of sediment bed elevation is achieved by solving the Exner equation. The turbine rotor is parameterized using the actuator line method. The developed model is validated against wake velocity and scour depth measurement obtained from previous literature, showing a good agreement. Subsequently, the effects of tip clearance on the flow characteristics around the turbine model on a rigid flatbed are examined. Finally, the scour processes of the turbine model are presented, along with the vortex system within the scour hole. The numerical model proposed in this study has the potential to contribute to the understanding of the scour mechanism of the tidal stream turbines.

海洋涡轮机已被广泛用于从自由流动的潮汐和水流中利用潮汐流能源。然而,评估这些海洋结构对周围环境的影响仍处于早期阶段。在本研究中,建立了一个将流体力学和沉积物输运结合起来的数值模型,以模拟在稳定水流下单桩支撑水平轴向潮汐流涡轮机周围的冲刷过程。通过求解三维纳维-斯托克斯方程和 k -ω 剪切应力输运 (SST) 湍流模型来计算水流特性。沉积物床面高程的模拟是通过求解 Exner 方程实现的。涡轮机转子采用推杆线法进行参数化。所开发的模型与之前文献中获得的尾流速度和冲刷深度测量结果进行了验证,结果显示两者吻合良好。随后,研究了叶尖间隙对刚性平板上涡轮模型周围流动特性的影响。最后,介绍了涡轮模型的冲刷过程以及冲刷孔内的涡旋系统。本研究提出的数值模型有可能有助于理解潮汐流涡轮机的冲刷机制。
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引用次数: 0
Numerical investigation on local resonance within an array of C-shaped cylinders in water waves 水波中 C 形圆柱阵列内局部共振的数值研究
IF 2.5 3区 工程技术 Pub Date : 2024-09-13 DOI: 10.1007/s42241-024-0050-6
Jin Xu, De-zhi Ning, Li-fen Chen, Huan-wen Liu

In this work, computational fluid dynamics (CFD)—based simulations and linear diffraction analysis are carried out to investigate the interaction between water waves and metamaterials composed of an array of C-shaped cylinders. The flow visualization by CFD-based simulations reveals that local resonance is a result of constructive interference between the incident wave and the wave radiated from the cavity of the C-shaped cylinder. The wave-induced water motion inside the cavity acts as a source of generating this radiated wave, which has the same angular wave frequency and wavenumber but opposite propagation direction as the incident wave. In addition, it is found from the CFD-based simulations that the energy dissipation increases as the opening of the C-shaped cylinder becomes shorter and sharper, along with an increase in its outer radius, and the variation trend of energy dissipation is only affected by the outer radius. Meanwhile, except for very small opening lengths, variations in opening length, width, and outer radius do not significantly impact the wave attenuation effect of the C-shaped cylinder array. Moreover, the results obtained by CFD and the linear potential flow model are compared. The linear potential flow theory is proven to be a reliable approach for accurately predicting the local resonant frequency and transmission coefficients within the local resonant band across a range of geometric parameters. However, it is noted that this theory may have limitations when applied to cases with extremely small opening lengths, where it struggles to accurately predict the local resonant frequency and the intensity of local resonance.

本研究基于计算流体动力学(CFD)模拟和线性衍射分析,研究了水波与由 C 形圆柱体阵列组成的超材料之间的相互作用。基于 CFD 模拟的流动可视化显示,局部共振是入射波与 C 形圆柱体空腔辐射波之间的建设性干涉的结果。空腔内由波浪引起的水运动是产生这种辐射波的源泉,辐射波的角波频率和波数与入射波相同,但传播方向与入射波相反。此外,基于 CFD 的模拟还发现,随着 C 形圆柱体开口变短变尖,能量耗散也随其外半径的增加而增加,且能量耗散的变化趋势只受外半径的影响。同时,除了极小的开口长度外,开口长度、宽度和外半径的变化对 C 形圆柱体阵列的波衰减效果影响不大。此外,还比较了 CFD 和线性势流模型得出的结果。事实证明,线性势流理论是一种可靠的方法,可以在一定几何参数范围内准确预测局部谐振频率和局部谐振带内的传输系数。然而,该理论在应用于开口长度极小的情况时可能存在局限性,难以准确预测局部共振频率和局部共振的强度。
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引用次数: 0
Large eddy simulations of zinc ions transfer to turbulent flows from hyporheic zone 锌离子从下垫面区转移到湍流的大涡流模拟
IF 2.5 3区 工程技术 Pub Date : 2024-09-13 DOI: 10.1007/s42241-024-0053-3
Yi-ming Jin, Jin-feng Chen, Jin-long Zhang, Ze-hao Zhao, Dong-liang Fan, Yu-hong Dong

Metal contaminants from surface water pollution events often enter hyporheic zones, under certain conditions, they may be released back into streams, causing secondary pollution to the water quality. The present study investigated the effects of adsorption, permeability, and anisotropy of sediment beds on the release of zinc ions (Zn2+) from the hyporheic zone into overlying turbulent flows using large-eddy simulations (LES). The volume-averaged Navier-Stokes equations and advection-diffusion equation with adsorption term were used to describe the sediment in-flow, adsorption, and convective diffusion of Zn2+ within the sediment layer. The effects of sediment permeability on the Zn2+ concentration distribution and mass transfer processes were investigated by time-averaged statistics of flow and concentration fields. The results show that adsorption becomes stronger as the pH value increases, leading to a slow increase in Zn2+ concentration in the overlying water layer and reaching a lower steady-state concentration. Higher overall permeability of the sediment layer can enhance mass and momentum exchange near the sediment-water interface (SWI), and intensify the release of Zn2+ from the sediment layer into the overlying water. As the wall-normal permeability of the sediment layer increases, the normal turbulent intensity strengthens, momentum transport enhances, the wall-normal Zn2+ concentration flux increases, the effective diffusion coefficient increases, and the concentration in the overlying water increases.

地表水污染事件中的金属污染物通常会进入下垫面区,在一定条件下,它们可能会被释放回溪流,对水质造成二次污染。本研究利用大涡流模拟(LES)研究了沉积层的吸附性、渗透性和各向异性对锌离子(Zn2+)从底流区释放到上覆湍流的影响。采用体积平均纳维-斯托克斯方程和带有吸附项的平流-扩散方程来描述沉积物的内流、吸附以及 Zn2+ 在沉积层内的对流扩散。通过对流量场和浓度场的时间平均统计,研究了沉积物渗透性对 Zn2+ 浓度分布和传质过程的影响。结果表明,随着 pH 值的增加,吸附作用会变得更强,从而导致上覆水层中的 Zn2+ 浓度缓慢增加,并达到较低的稳态浓度。沉积层的整体渗透率越高,就越能加强沉积层-水界面(SWI)附近的质量和动量交换,并加剧 Zn2+ 从沉积层释放到上覆水层。随着沉积层壁面法向渗透率的增加,法向湍流强度增强,动量传输加强,壁面法向 Zn2+ 浓度通量增加,有效扩散系数增大,上覆水中的浓度增加。
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引用次数: 0
Evaluation of Reynolds-averaged Navier-Stokes turbulence models in open channel flow over salmon redds 评估鲑鱼鱼卵上方明渠水流中的雷诺平均纳维-斯托克斯湍流模型
IF 2.5 3区 工程技术 Pub Date : 2024-09-13 DOI: 10.1007/s42241-024-0051-5
Bishal Bhattarai, Brandon Hilliard, Daniele Tonina, William J. Reeder, Ralph Budwig, Benjamin T. Martin, Tao Xing

This study evaluates computational fluid dynamics (CFD) turbulence closures for Reynolds-averaged Navier-Stokes (RANS) equations against experimental data to model complex open channel flows, like those occurring over dune-shaped salmon spawning nests called “redds”. Open channel flow complexity, characterized by near-bed turbulence, adverse pressure, and free surfaces, requires suitable turbulence closure capable of capturing the flow structure between streambed and water surface. We evaluated three RANS models: Standard k - ω, shear-stress transport (SST) k - ω and realizable k - ε, along with four wall treatments for the realizable k - ε: Standard, and scalable wall functions, enhanced wall treatment, and an unconventional closure combining standard wall function with near-wall mesh resolving the viscous sublayer. Despite all models generally capturing the bulk flow characteristics, considerable discrepancies were evident in their ability to predict specific flow features, such as flow detachments. The realizable k - ε model, with standard wall function and mesh resolving viscous sublayer, outperformed other closures in predicting near-wall flow separations, velocity fields, and free surface elevation. This realizable k - ε model with a log-layer resolved mesh predicted the free surface elevation equally well but lacked precision for near-wall flows. The SST k - ω model outperformed in predicting turbulent kinetic energy and provided better predictions of the near-boundary velocity distributions than realizable k - ε closure with any of the conventional wall treatments but overestimated the separation vortex magnitude. The standard k - ω model also overestimated near-wall separation. This study highlights the variability in accuracy among turbulence models, underlining the need for careful model selection based on specific prediction regions.

本研究根据实验数据对雷诺平均纳维-斯托克斯(RANS)方程的计算流体动力学(CFD)湍流闭合进行了评估,以模拟复杂的明渠水流,如发生在沙丘状鲑鱼产卵巢(称为 "红巢")上的水流。明渠水流的复杂性以近床湍流、不利压力和自由表面为特征,因此需要合适的湍流闭合模型来捕捉河床和水面之间的水流结构。我们评估了三种 RANS 模型:标准 k - ω、剪应力传输(SST)k - ω 和可实现 k - ε,以及可实现 k - ε 的四种壁面处理:标准壁面函数、可扩展壁面函数、增强壁面处理以及将标准壁面函数与解决粘性子层的近壁网格相结合的非常规闭合。尽管所有模型都基本捕捉到了整体流动特征,但在预测特定流动特征(如流动脱离)的能力方面存在明显差异。可实现的 k - ε 模型采用标准壁面函数和网格解析粘性子层,在预测近壁流动分离、速度场和自由表面高程方面优于其他闭合模型。采用对数层解析网格的可实现 k - ε 模型对自由表面高程的预测同样出色,但对近壁流动的预测不够精确。SST k - ω模型在预测湍流动能方面的表现优于采用任何传统壁面处理方法的可实现 k - ε闭合模型,并能更好地预测近边界速度分布,但高估了分离涡的大小。标准 k - ω 模型也高估了近壁分离。这项研究强调了不同湍流模型在精度上的差异,强调了根据特定预测区域仔细选择模型的必要性。
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引用次数: 0
期刊
Journal of Hydrodynamics
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