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Effect of rotation curvature correction and inviscid spatial discretization scheme on the aerodynamics of vertical axis wind turbine 旋转曲率校正和无粘空间离散化方案对垂直轴风力机空气动力学的影响
IF 2.5 3区 工程技术 Pub Date : 2024-12-04 DOI: 10.1007/s42241-024-0071-1
Kai-fang Ma, Jia-song Wang, Lei-ping Xue

The effect of rotation-curvature correction and inviscid spatial discretization scheme on the aerodynamic performance and flow characteristics of Darrieus H-type vertical axis wind turbine (VAWT) are investigated based on an in-house solver. This solver is developed on an in-house platform HRAPIF based on the finite volume method (FVM) with the elemental velocity vector transformation (EVVT) approach. The present solver adopts the density-based method with a low Mach preconditioning technique. The turbulence models are the Spalart-Allmaras (SA) model and the k-ω shear stress transport (SST) model. The inviscid spatial discretization schemes are the third-order monotone upstream-centered schemes for conservation laws (MUSCL) scheme and the fifth-order modified weighted essentially non-oscillatory (WENO-Z) scheme. The power coefficient, instantaneous torque of blades, blade wake, and turbine wake are compared and analyzed at different tip speed ratios. The extensive analysis reveals that the density-based method can be applied in VAWT numerical simulation; the SST models perform better than the SA models in power coefficient prediction; the rotation-curvature correction is not necessary and the third-order MUSCL is enough for power coefficient prediction, the high-order WENO-Z scheme can capture more flow field details, the rotation-curvature correction and high-order WENO-Z scheme reduce the length of the velocity deficit region in the turbine wake.

基于内部求解器,研究了旋转曲率修正和无粘空间离散化方案对达瑞乌斯h型垂直轴风力机气动性能和流动特性的影响。该求解器基于有限体积法(FVM)和单元速度矢量变换(EVVT)方法,在内部平台HRAPIF上开发。本算法采用基于密度的方法,并采用低马赫预处理技术。湍流模型为Spalart-Allmaras (SA)模型和k-ω剪切应力输运(SST)模型。无粘空间离散化方案是三阶单调上游中心守恒律(MUSCL)方案和五阶修正加权本质非振荡(WENO-Z)方案。对不同叶尖速比下的功率系数、叶片瞬时转矩、叶片尾迹和涡轮尾迹进行了比较分析。广泛的分析表明,基于密度的方法可以应用于VAWT数值模拟;海温模型在功率系数预测上优于SA模型;高阶WENO-Z方案可以捕获更多的流场细节,旋转曲率修正和高阶WENO-Z方案减小了涡轮尾迹中速度亏缺区的长度。
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引用次数: 0
A Smoothed Particle Hydrodynamics method for vertical axis turbine design and assessment 垂直轴水轮机设计与评价的光滑质点流体力学方法
IF 2.5 3区 工程技术 Pub Date : 2024-12-04 DOI: 10.1007/s42241-024-0074-y
Nicolas Hanousek, Bikash Ranabhat, Aaron English, Reza Ahmadian

With the global demand for more electricity, and for that electricity to be produced using low-carbon generation, a turbine was designed to extract energy from underutilised flows. The mechanism by which the turbine operates makes it highly demanding to represent using mesh-based numerical schemes, resulting in a need to investigate alternative methods. The Smoothed Particle Hydrodynamics (SPH) software, DualSPHysics, utilising the Chrono solid body solver, was used to represent the turbine as a free body in a 2-D environment allowing for evaluation of the free-spin velocity to be assessed. The aim of this being to ascertain the applicability of SPH to the modelling of vertical axis turbines with multiple moving parts, and also develop an understanding of the design itself. The model was found to compare favourably with lab results, showing that a vertical axis turbine may be represented in this fashion. The resilience of the device, a design driver and previously untested mode, was assessed by considering post-damage scenarios. From this, future flume study and parallel numerical modelling can guide this or other vertical axis turbines towards improved performance.

随着全球对更多电力的需求,以及这些电力使用低碳发电,涡轮机被设计用来从未充分利用的水流中提取能量。涡轮机运行的机制使得使用基于网格的数值格式表示要求很高,因此需要研究替代方法。使用平滑粒子流体动力学(SPH)软件dualspphysics,利用Chrono实体求解器,将涡轮表示为二维环境中的自由体,从而评估要评估的自由自旋速度。这样做的目的是为了确定SPH对具有多个运动部件的垂直轴涡轮机建模的适用性,并开发对设计本身的理解。该模型被发现与实验室结果相比较有利,表明垂直轴涡轮机可以以这种方式表示。该装置的弹性是一个设计驱动因素,之前未经测试的模式,通过考虑损坏后的场景来评估。由此,未来的水槽研究和并行数值模拟可以指导这种或其他垂直轴涡轮机提高性能。
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引用次数: 0
An investigation of cavitation control using a porous material on a hemispherical cylinder at various cavitation numbers 半球形圆筒上多孔材料在不同空化数下控制空化的研究
IF 2.5 3区 工程技术 Pub Date : 2024-11-22 DOI: 10.1007/s42241-024-0067-x
Fei-peng Yu, Yi-gan Zhang, Hao-kun Li, Ze-hui Qu, Hua-ping Liu

In this paper, a passive control method based on a porous material is applied to the surface of a hemispherical cylinder to control a cavitating flow, and the control effect of this method at different cavitation numbers (σ) is evaluated through the cavity morphology and volume, which is important for the application in engineering. The results indicate that the control effect is improved with a reduction in the cavitation number, for the reduction of vapor volume increases from 22%–50% with σ decreasing from 0.50–0.20. Further investigation indicates that the cavity inception at different cavitation numbers is still induced by the Kelvin-Helmholtz instability, while the spatial distribution of the vapor changes significantly. Moreover, the porous material suppresses the cavitating flow in the front region but enhances it downstream at large cavitation numbers. When σ = 0.20, the cavitating flow is controlled in both the front and rear regions.

本文采用一种基于多孔材料的半球形圆柱体表面被动控制空化流的方法,并通过空化数(σ)对该方法在不同空化数(σ)下的控制效果进行了评价,这对工程应用具有重要意义。结果表明,控制效果随着空化次数的减少而提高,蒸汽体积的减少量从22%增加到50%,σ从0.50 ~ 0.20减小。进一步研究表明,不同空化数下的空腔形成仍然是由Kelvin-Helmholtz不稳定性引起的,而蒸汽的空间分布发生了显著变化。此外,多孔材料抑制了前缘区域的空化流动,但在大空化数下增强了下游区域的空化流动。当σ = 0.20时,空化流在前后区域均得到控制。
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引用次数: 0
Cylindrical bubble dynamics in triple-frequency acoustic field 三频声场中的圆柱气泡动力学
IF 2.5 3区 工程技术 Pub Date : 2024-11-22 DOI: 10.1007/s42241-024-0068-9
Jia-xin Yu, Zhi-hao Liu, Jin-sen Hu, Xiao-yu Wang, Xiang-qing Zhang, Jun-wei Shen, Yu-ning Zhang

In this paper, the dynamic characteristics of the cylindrical bubbles under triple-frequency acoustic excitation are investigated theoretically. The analytical solution of the primary-superharmonic-subharmonic (PRI-SUPER-SUB) simultaneous resonance is obtained through the multi-scale method. Based on the analysis of the frequency response, the influencing mechanisms of the primary parameters (e.g., the total amplitude, amplitude ratio, liquid viscosity, polytropic exponent, and bubble equilibrium radius) on the resonance are investigated quantitatively. The main conclusions include: (1) The solution for the simultaneous resonance of the cylindrical bubble exhibits jumping and hysteresis phenomena in the vicinity of the resonance frequency. (2) As the total amplitude, amplitude ratio, and equilibrium radius increase, the response amplitude of the PRI-SUPER-SUB simultaneous resonance increases, while the influence of the viscosity is the opposite. (3) The regions dominated by the instability of the simultaneous resonance is significantly affected by the system parameters.

本文从理论上研究了三频声激励下圆柱形气泡的动态特性。通过多尺度方法得到了一次-超谐波-次谐波(PRI-SUPER-SUB)同步共振的解析解。在频率响应分析的基础上,定量研究了总振幅、振幅比、液体粘度、多向指数、气泡平衡半径等主要参数对共振的影响机理。主要结论包括:(1)圆柱泡同步共振解在共振频率附近出现跳变和滞后现象。(2)随着总幅值、幅值比和平衡半径的增大,PRI-SUPER-SUB同步共振的响应幅值增大,而粘度的影响则相反。(3)系统参数对同步共振失稳占主导地位的区域影响显著。
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引用次数: 0
Wave height forecast method with uncertainty quantification based on Gaussian process regression 基于高斯过程回归的不确定性量化波高预报方法
IF 2.5 3区 工程技术 Pub Date : 2024-11-22 DOI: 10.1007/s42241-024-0070-2
Zi-lu Ouyang, Chao-fan Li, Ke Zhan, Chuan-qing Li, Ren-chuan Zhu, Zao-jian Zou

Wave height forecast (WHF) is of great significance to exploit the marine renewables and improve the safety of ship navigation at sea. With the development of machine learning technology, WHF can be realized in an easy-to-operate and reliable way, which improves its engineering practicability. This paper utilizes a data-driven method, Gaussian process regression (GPR), to model and predict the wave height on the basis of the input and output data. With the help of Bayes inference, the prediction results contain the uncertainty quantification naturally. The comparative studies are carried out to evaluate the performance of GPR based on the simulation data generated by high-order spectral method and the experimental data collected in the deep-water towing tank at the Shanghai Ship and Shipping Research Institute. The results demonstrate that GPR is able to model and predict the wave height with acceptable accuracy, making it a potential choice for engineering application.

浪高预报对开发利用海洋可再生能源,提高海上船舶航行安全具有重要意义。随着机器学习技术的发展,WHF可以以易于操作和可靠的方式实现,提高了其工程实用性。本文利用数据驱动的方法高斯过程回归(GPR),在输入和输出数据的基础上对波高进行建模和预测。在贝叶斯推理的帮助下,预测结果自然包含了不确定性量化。基于高阶谱法模拟数据和上海船舶研究所深水拖曳舱实验数据,对探地雷达的性能进行了对比研究。结果表明,探地雷达能够以可接受的精度模拟和预测波高,是工程应用的潜在选择。
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引用次数: 0
Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves 浅水波准周期结构中的涨落特征和拓扑界面态
IF 2.5 3区 工程技术 Pub Date : 2024-11-22 DOI: 10.1007/s42241-024-0069-8
Xue Guan, Bo-ya Xiao, Yu Liu, Meng Chen

Compared with periodic structures, quasi-periodic structures have superior band gap properties and topological interface states. In this paper, a one-dimensional quasi-periodic Fibonacci water wave metamaterial model that can be used to apply quasi-periodic structures to shallow-water wave systems is presented. The fluctuation characteristics of periodic and quasi-periodic structures are examined using finite element numerical calculations based on the shallow-water wave equation. The research results show that the band characteristics of quasi-periodic structures are complex, enabling flexible control of the propagation of shallow-water waves. Furthermore, the mirror-symmetrical design of Fibonacci quasi-periodic water wave metamaterials was created to engineer the topological interface states in shallow-water wave systems, ultimately achieving successful localization of wave energy. This research will greatly enrich our understanding of topology, expand the potential applications of quasi-periodic structures, and provide new insights for manipulating water waves and harvesting energy.

与周期结构相比,准周期结构具有更好的带隙性质和拓扑界面状态。本文提出了一种一维准周期斐波那契水波超材料模型,该模型可用于浅水波系统的准周期结构。基于浅水波动方程,采用有限元数值计算方法研究了周期和准周期结构的波动特性。研究结果表明,准周期结构的频带特性复杂,可以灵活控制浅水波的传播。此外,创建了斐波那契准周期水波超材料的镜像对称设计,以设计浅水波系统的拓扑界面状态,最终实现了波能的成功局域化。这项研究将极大地丰富我们对拓扑学的理解,扩展准周期结构的潜在应用,并为操纵水波和收集能量提供新的见解。
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引用次数: 0
Effect of backward-facing step heights in vegetation-step model on reducing the velocity of a tsunami inundation and increasing the energy dissipation efficiency 植被台阶模型中台阶后向高度对降低海啸淹没速度和提高能量耗散效率的影响
IF 2.5 3区 工程技术 Pub Date : 2024-11-15 DOI: 10.1007/s42241-024-0064-0
Wen-xin Huai, Xiao-hua Zhang, Dan Li, Zhong-hua Yang, Yi-dan Ai

A coastal forest combined with a backward-facing step is an efficient facility to reduce tsunami damage to residential areas behind sea embankments. This study establishes a generalized model, and experimentally explores the water level changes upstream of the vegetation-step mitigation model as well as its energy dissipation effect under different initial Froude numbers, step heights, and vegetation conditions. The results show that the relative backwater rise increases with the growth of vegetation density, patch length and initial Froude number, representing a slowing down of the tsunami inundation. As for energy dissipation, it is mainly caused by the additional resistance of the vegetation and the hydraulic jump. And the vegetation condition not only affects the energy dissipation due to stem-scale turbulence within the patch, but also changes the hydraulic jump process of water falling from the step in cooperation with the step height. As a result, the energy dissipation efficiency always increases with the growth of vegetation density, vegetation patch length and step height. With the criterion that the energy dissipation efficiency and its growth rate can hardly change with vegetation parameters, this study innovatively defines the threshold slope and gives the principle of judging the most cost-effective vegetation conditions at different step heights. These results are expected to provide an important reference for the design of composite tsunami mitigation facilities.

沿海森林与后向台阶相结合,是减少海啸对海堤后面居民区破坏的有效设施。本研究建立了广义模型,实验探讨了不同初始弗劳德数、台阶高度和植被条件下,植被-台阶缓解模型上游水位变化及其能量耗散效果。结果表明:随着植被密度、斑块长度和初始弗劳德数的增加,相对回水上升幅度增大,表明海啸淹没速度减缓;在消能方面,主要由植被附加阻力和水跃引起。植被条件不仅影响斑块内茎尺度湍流引起的能量耗散,而且还与台阶高度协同改变台阶落水的水力跳跃过程。结果表明,能量耗散效率随植被密度、植被斑块长度和台阶高度的增加而增加。本文创新性地定义了阈值坡度,根据植被参数对耗散效率及其生长速率的影响不大,给出了不同台阶高度下最经济的植被条件的判断原则。研究结果可为复合海啸减灾设施的设计提供重要参考。
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引用次数: 0
Double-averaged velocity profile and its representative line for turbulent flows over two-dimensional fixed dunes 二维固定沙丘湍流双平均速度剖面及其代表线
IF 2.5 3区 工程技术 Pub Date : 2024-11-15 DOI: 10.1007/s42241-024-0066-y
Pu-er Xu, Nian-Sheng Cheng, Dong-xin Guo

A laboratory study was conducted using particle image velocimetry (PIV) to measure flow velocity distributions over two-dimensional smooth and rough fixed dunes. It comprised 28 tests, each yielding 146 velocity profiles over one complete dune length. Two kinds of double-averaged velocity profiles were computed, one based on all the 146 lines of data (called global average), and the others from only some of them (called partial average). The results show that the global average velocity distribution is generally close to the partial average profile derived from evenly-distributed three or five lines along one dune length. Furthermore, the global average velocity profile can also be reasonably approximated using a single profile, measured at the representative line in this paper. The representative line is found to locate near the reattachment point. This result would be helpful to simplify measurements of general velocity distribution for a flow over dunes. The paper also applies the concept of representative line to the description of distributions of turbulence characteristics.

利用粒子图像测速技术(PIV)对二维光滑和粗糙固定沙丘上的流速分布进行了测量。它包括28个测试,每个测试在一个完整的沙丘长度上产生146个速度曲线。计算了两种双平均速度曲线,一种基于全部146行数据(称为全球平均),另一种仅基于其中的一些数据(称为部分平均)。结果表明,全球平均流速分布总体上接近于沿同一沙丘长度均匀分布的3条或5条线的部分平均剖面。此外,全球平均速度剖面也可以合理地近似使用单一剖面,测量在本文的代表线。发现代表性线位于再附着点附近。这一结果将有助于简化沙丘流动的一般速度分布的测量。本文还将代表性线的概念应用于湍流特性分布的描述。
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引用次数: 0
A GPU-accelerated two-phase flow model for fluid-solid interaction using the sharp interface immersed boundary method 基于锐界面浸入边界法的gpu加速流固两相流模型
IF 2.5 3区 工程技术 Pub Date : 2024-11-15 DOI: 10.1007/s42241-024-0065-z
Li-ping Ma, Ji-jian Lian, Dong-ming Liu

A two-phase flow model accelerated by graphical processing unit (GPU) is developed to solve fluid-solid interaction (FSI) using the sharp-interface immersed boundary method (IBM). This model solves the incompressible Navier-Stokes equations using the projection-based fractional step method in a fixed staggered Cartesian grid system. A volume of fluid (VOF) method with second-order accuracy is employed to trace the free surface. To represent the intricate surface geometry, the structure is discretized using the unstructured triangle mesh. Additionally, a ray tracing method is employed to classify fluid and solid points. A high-order stable scheme has been introduced to reconstruct the local velocity at interface points. Three FSI problems, including wave evolution around a breakwater, interaction between a periodic wave train and a moving float, and a 3-D moving object interacting with the free surface, were investigated to validate the accuracy and stability of the proposed model. The numerical results are in good agreement with the experimental data. Additionally, we evaluated the computational performance of the proposed GPU-based model. The GPU-based model achieved a 42.29 times speedup compared with the single-core CPU-based model in the three-dimension test. Additionally, the results regarding the time cost of each code section indicate that achieving more significant acceleration is associated with solving the turbulence, advection, and diffusion terms, while solving the pressure Poisson equation (PPE) saves the most time. Furthermore, the impact of grid number on computational efficiency indicates that as the number of grids increases, the GPU-based model outperforms the multi-core CPU-based model.

采用锐利界面浸入边界法(IBM)建立了图形处理单元(GPU)加速的两相流模型,求解流固相互作用(FSI)。该模型采用基于投影的分步法求解固定交错笛卡尔网格系统中的不可压缩Navier-Stokes方程。采用二阶精度的流体体积法(VOF)对自由表面进行跟踪。为了表示复杂的表面几何形状,使用非结构化三角形网格对结构进行离散化。此外,采用光线追踪方法对流体点和固体点进行分类。引入了一种高阶稳定格式来重建界面处的局部速度。为了验证该模型的准确性和稳定性,研究了防波堤周围的波浪演化、周期波列与运动浮子的相互作用以及三维运动物体与自由表面的相互作用等三个FSI问题。数值计算结果与实验数据吻合较好。此外,我们评估了所提出的基于gpu的模型的计算性能。在三维测试中,基于gpu的模型比基于单核cpu的模型加速了42.29倍。此外,关于每个代码段的时间成本的结果表明,获得更显著的加速度与求解湍流、平流和扩散项有关,而求解压力泊松方程(PPE)节省了最多的时间。此外,网格数对计算效率的影响表明,随着网格数的增加,基于gpu的模型优于基于多核cpu的模型。
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引用次数: 0
Examination on behavior of tip leakage flow in a three-stage gas-liquid two-phase flow pump 三级气液两相流泵叶尖泄漏流动特性的研究
IF 2.5 3区 工程技术 Pub Date : 2024-11-08 DOI: 10.1007/s42241-024-0063-1
Si-na Yan, Xing-qi Luo, Jian-jun Feng, Shuai-hui Sun, Guo-jun Zhu, Xin Wu

Tip leakage flow (TLF) trajectory in a pump with gas entrainment is investigated via visualization experiments and numerical simulations. Starting position of tip leakage vortex (TLV) is determined accurately by numerical simulation. Under high liquid flow rate (Ql) and high inlet gas volume fraction (IGVF) conditions, TLF flows from suction surface to pressure surface near the leading edge of blade, and the direction of TLF gradually changes along the chord which flows from pressure surface to suction surface near the tailing edge. The angle between TLF and blade mean camberline increases progressively as either Ql or IGVF decreases, and starting position of TLV moves towards leading edge direction. As Ql or IGVF decreases, value of vorticity increases and high vorticity region moves towards leading edge. The entropy production rate at blade tip clearance is high, and entropy diffuses from pressure surface to suction surface due to jet flow in blade tip clearance. The greater the amount of accumulated gas there is, the greater the amount of entropy in the area. In addition, when gas is entrained in pump, there are many low frequency fluctuations generated in blade tip clearance.

采用可视化实验和数值模拟相结合的方法研究了含气泵的叶尖泄漏流动轨迹。通过数值模拟准确地确定了叶尖泄漏涡的起始位置。在高液体流量(Ql)和高进口气体体积分数(IGVF)条件下,TLF从吸力面流向叶片前缘附近的压力面,沿从压力面流向尾缘附近吸力面的弦线方向逐渐改变。随着Ql和IGVF的减小,TLF与叶片平均凸轮线夹角逐渐增大,TLV起始位置向前缘方向移动。随着Ql或IGVF的减小,涡度值增大,高涡度区向前缘移动。叶尖间隙处的熵产率较高,由于叶尖间隙内的射流,熵从压力面向吸力面扩散。积聚的气体越多,该区域的熵就越大。此外,当气体在泵内夹带时,叶尖间隙会产生许多低频波动。
{"title":"Examination on behavior of tip leakage flow in a three-stage gas-liquid two-phase flow pump","authors":"Si-na Yan,&nbsp;Xing-qi Luo,&nbsp;Jian-jun Feng,&nbsp;Shuai-hui Sun,&nbsp;Guo-jun Zhu,&nbsp;Xin Wu","doi":"10.1007/s42241-024-0063-1","DOIUrl":"10.1007/s42241-024-0063-1","url":null,"abstract":"<div><p>Tip leakage flow (TLF) trajectory in a pump with gas entrainment is investigated via visualization experiments and numerical simulations. Starting position of tip leakage vortex (TLV) is determined accurately by numerical simulation. Under high liquid flow rate (<i>Q</i><sub><i>l</i></sub>) and high inlet gas volume fraction (IGVF) conditions, TLF flows from suction surface to pressure surface near the leading edge of blade, and the direction of TLF gradually changes along the chord which flows from pressure surface to suction surface near the tailing edge. The angle between TLF and blade mean camberline increases progressively as either <i>Q</i><sub><i>l</i></sub> or IGVF decreases, and starting position of TLV moves towards leading edge direction. As <i>Q</i><sub><i>l</i></sub> or IGVF decreases, value of vorticity increases and high vorticity region moves towards leading edge. The entropy production rate at blade tip clearance is high, and entropy diffuses from pressure surface to suction surface due to jet flow in blade tip clearance. The greater the amount of accumulated gas there is, the greater the amount of entropy in the area. In addition, when gas is entrained in pump, there are many low frequency fluctuations generated in blade tip clearance.</p></div>","PeriodicalId":637,"journal":{"name":"Journal of Hydrodynamics","volume":"36 5","pages":"843 - 853"},"PeriodicalIF":2.5,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142798348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Journal of Hydrodynamics
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