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Boundary layer flow over a bump and the three-dimensional law of the wall 凸块上的边界层流动与壁的三维规律
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-04-03 DOI: 10.1080/14685248.2023.2202404
Julie E. Duetsch-Patel, A. Gargiulo, Aurélien Borgoltz, Christopher J. Roy, W. Devenport, K. Lowe
Many turbulence theories in use today are based on two-dimensional equilibrium flows and have limitations when applied to three-dimensional flows. A three-dimensional law of the wall would help to improve simulation fidelity, but while several versions have been proposed, none have been widely accepted. In this study, the three-dimensional attached boundary layer flow over the windward side of the BeVERLI (Benchmark Validation Experiments for RANS/LES Investigations) Hill bump model was measured using near-wall laser Doppler velocimetry in the Virginia Tech Stability Wind Tunnel to study the mean flow and turbulence structure. These mean velocity measurements are compared with the predictions of the proposed three-dimensional (3D) law of the wall of van den Berg [A three-dimensional law of the wall for turbulent shear flows. J Fluid Mech. 1975;70(1):149–160.], which incorporates pressure gradients and inertial effects but assumes alignment of the mean flow gradient and shear-stress angles, and to the sublayer momentum equations, which are exact in the limit of wall-normal . In regions with mild stress/strain misalignment, the van den Berg model compares favourably with the experimental data up to a maximum of , and the sublayer momentum relationship compares favourably with the experimental data in the linear sublayer.
目前使用的许多湍流理论都是基于二维平衡流,并且在应用于三维流时存在局限性。墙的三维定律将有助于提高模拟逼真度,但尽管已经提出了几个版本,但没有一个被广泛接受。在本研究中,在弗吉尼亚理工大学稳定风洞中使用近壁激光多普勒测速仪测量了BeVERLI(RANS/LES调查基准验证实验)Hill bump模型迎风面上的三维附边界层流动,以研究平均流量和湍流结构。将这些平均速度测量值与所提出的van den Berg壁的三维(3D)定律[湍流剪切流的壁的三维定律.J Fluid Mech.1975;70(1):149–160.]的预测值进行了比较,该定律结合了压力梯度和惯性效应,但假设平均流梯度和剪切应力角对齐,以及精确到壁法线极限的子层动量方程。在具有轻度应力/应变失准的区域中,van den Berg模型与实验数据相比是有利的,最大值为,并且子层动量关系与线性子层中的实验数据相比也是有利的。
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引用次数: 1
An EDQNM study of the dissipation rate in isotropic non-equilibrium turbulence 各向同性非平衡湍流耗散率的EDQNM研究
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-03-16 DOI: 10.1080/14685248.2023.2189731
L. Fang, W. Bos
The energy cascade from large to small scales is a robust feature of three-dimensional turbulence. In statistically steady turbulence, the average dissipation is in equilibrium with the energy injected in the system. A global quantity measuring the deviations from such a flux equilibrium is the normalised dissipation rate , corresponding to the viscous dissipation, normalised by quantities associated with the largest scales of the system. Recent investigations have pointed out how this normalised dissipation rate varies in unsteady flows. We focus on two test-cases to assess non-equilibrium in isotropic turbulence. These cases are, respectively, turbulence in the presence of a large-scale periodic forcing and turbulence with reversed initial conditions. We show, using the Eddy-Damped Quasi-Normal Markovian closure, that for turbulence in the presence of periodic forcing, a scaling is reproduced ( indicating the Taylor-scale Reynolds number) when the forcing-frequency is adjusted to be of the order of the inverse of the integral time-scale. It is shown that the spectrum can be decomposed into an equilibrium spectrum, governed by Kolmogorov scaling in the inertial range, and a perturbation spectrum, proportional to , k being the wavenumber. For reversed turbulence, a novel procedure is introduced to prescribe initial conditions for the nonlinear transfer. Subsequently a clear transient with a scaling is observed in the dynamics.
从大尺度到小尺度的能量级联是三维湍流的一个稳健特征。在统计稳定的湍流中,平均耗散与系统中注入的能量处于平衡状态。测量与这种通量平衡偏差的全局量是归一化耗散率,对应于粘性耗散,通过与系统最大尺度相关的量归一化。最近的研究已经指出了这种归一化耗散率在非定常流中是如何变化的。我们关注两个测试案例来评估各向同性湍流中的非平衡性。这些情况分别是存在大规模周期性强迫的湍流和初始条件相反的湍流。使用涡流阻尼准正态马尔可夫闭包,我们表明,对于存在周期性强迫的湍流,当强迫频率调整为积分时间尺度的倒数时,会再现标度(指示泰勒标度雷诺数)。结果表明,该谱可以分解为一个由惯性范围内的Kolmogorov标度控制的平衡谱和一个与之成比例的扰动谱,k是波数。对于反向湍流,引入了一种新的程序来规定非线性转移的初始条件。随后,在动力学中观察到具有标度的清晰瞬态。
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引用次数: 1
Large eddy simulations of the turbulent channel flow over dimpled surfaces 凹陷表面湍流通道流动的大涡模拟
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-03-07 DOI: 10.1080/14685248.2023.2186415
Y. K. İlter, Aras Çetinkaya, U. Ünal
Reducing skin friction has a key role in the efficiency of rail, highway, and airway transport vehicles or naval systems such as ships and underwater vehicles. In recent years, there is a growing interest in investigating turbulent drag-reducing capabilities of dimpled surfaces, which have great potential as a passive solution, while there still exists highly conflicting views and drag reduction rates reported in the literature as well as a lack of information about the drag reduction mechanism. In this study, large-eddy simulations (LES) were performed to investigate the characteristics and physical mechanism of the fluid flow over dimpled surfaces in a fully developed channel flow. The Reynolds number based on the channel height and the mean bulk velocity was nearly 5600 for all cases examined. Within the framework of the study, various dimple depth to diameter ratios as well as different dimple arrangements and geometries were considered. The detailed mean and instantaneous flow fields, turbulent kinetic energy budget and spectral characteristics of the flow are presented. The study revealed the potential of the dimpled surface in reducing skin friction and provided critical information about the flow features affecting the performance of the dimples.
减少表面摩擦对铁路、公路、航空运输工具或船舶、水下航行器等海军系统的效率起着关键作用。近年来,人们对波纹表面湍流减阻能力的研究越来越感兴趣,波纹表面作为一种有很大潜力的被动解决方案,但文献中仍然存在高度矛盾的观点和减阻率,以及缺乏关于减阻机制的信息。在本研究中,采用大涡模拟(LES)研究了在完全发育的通道流动中,流体在凹陷表面上流动的特征和物理机制。在所有情况下,基于通道高度和平均体速度的雷诺数接近5600。在研究的框架内,考虑了不同的凹窝深度与直径比以及不同的凹窝排列和几何形状。给出了流动的平均流场和瞬时流场、湍流动能收支和频谱特征。该研究揭示了凹痕表面在减少皮肤摩擦方面的潜力,并提供了影响凹痕性能的流动特征的关键信息。
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引用次数: 0
Experimental study of two side-by-side decaying grid turbulent fields at different mean velocities 不同平均速度下两个并排衰减网格湍流场的实验研究
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-02-21 DOI: 10.1080/14685248.2023.2182439
MD Kamruzzaman, L. Djenidi, R. Antonia
A Hot-wire anemometry experiment is conducted to investigate how two turbulent fields decaying with different mean velocities interact at their interface. A grid with different mesh sizes and solidities on either side of the grid centerline is used to generate two turbulent fields. It is found that the resulting turbulent shear layer created at the interface of the two fields evolves in a self-preserving manner. Further, the Taylor microscale Reynolds number, increases linearly while and become constants as the distance x downstream of the grids increases. Off the centerline one observes the classical decay of turbulence, e.g. varies like (n is negative) and decreases. It is observed that the transport equation for is dominated by the production and pressure-velocity correlation in the central region of the turbulent shear layer while production, dissipation, and turbulent diffusion of the transport equation for dominate in the central part of the shear layer. The pressure-velocity correlation term for is negligible on the centreline of the shear layer and important on the edges. The measurements of the scale-by-scale (SBS) energy terms on the shear layer centerline reveal that the energy transfer from large to small scales occurs in a non-trivial manner.
采用热线测速实验研究了两个平均速度不同的湍流场在界面处的相互作用。采用网格中心线两侧不同网格尺寸和固结度的网格来产生两个湍流场。结果发现,在两个场的界面处产生的湍流剪切层以自保存的方式演变。此外,泰勒微尺度雷诺数随栅格下游距离x的增加而线性增加,而随栅格下游距离x的增加而变为常数。在中心线之外,我们观察到经典的湍流衰减,例如像(n为负)那样变化并减小。观察到,输运方程的产生、耗散和湍流扩散主要发生在剪切层中心区域,输运方程的产生、耗散和湍流扩散主要发生在剪切层中心区域。压力-速度相关项在剪切层的中线可以忽略不计,而在边缘则很重要。剪切层中心线上的逐尺度(SBS)能量项的测量表明,从大尺度到小尺度的能量传递是以非平凡的方式发生的。
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引用次数: 0
The effect of Prandtl number on decaying stratified turbulence 普朗特数对衰减分层湍流的影响
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-02-15 DOI: 10.1080/14685248.2023.2178654
J. Riley, M. Couchman, S. M. de Bruyn Kops
The effects of the variation in the Prandtl number on turbulence in a stably-stratified fluid is investigated by direct numerical simulation. The results of simulations are presented of the homogeneous decay of turbulence for a given initial Froude number and three different initial Reynolds numbers of increasing values. For each of these cases results for two different Prandtl numbers, 1 and 7, are shown. Various statistics are put forward, including kinetic and potential energy decay rates, kinetic and potential energy dissipation rates, buoyancy fluxes, energy spectra, and statistics conditioned on the local value of the vertical density gradient. It is found that the effect of increasing the Prandtl number is to increase the kinetic energy dissipation rate, while decreasing the potential energy dissipation rate. There is a notable transfer of potential to kinetic energy for the higher Prandtl number case. Finally there is evidence, based upon the analysis of vertical planes and statistics conditional on the local density gradient, that most irreversible mixing of both density and momentum occurs in regions of stronger static stability.
采用直接数值模拟的方法研究了稳定分层流体中普朗特数的变化对湍流的影响。给出了给定初始弗劳德数和三种不同初始雷诺数递增时湍流均匀衰减的模拟结果。对于每种情况,显示了两个不同普朗特数1和7的结果。提出了各种统计数据,包括动能和势能衰减率、动能和势能耗散率、浮力通量、能谱以及以垂直密度梯度局域值为条件的统计数据。发现增加普朗特数的作用是增加动能耗散率,而降低势能耗散率。在较高普朗特数的情况下,有一个显著的势能到动能的转移。最后,根据垂直平面的分析和局部密度梯度条件下的统计数据,有证据表明,密度和动量的最不可逆混合发生在静态稳定性较强的区域。
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引用次数: 6
Modeling rough walls from surface topography to double averaged Navier-Stokes computation 从表面形貌到双平均Navier-Stokes计算的粗糙壁建模
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-02-01 DOI: 10.1080/14685248.2023.2173760
F. Chedevergne
The discrete element method was recently revisited using a double averaged Navier-Stokes formulation [Chedevergne F. A double-averaged navier-stokes turbulence model for wall flows over rough surfaces with heat transfer. J Turbul. 2021 Sep;22(11):713–734. doi:10.1080/14685248.2021.1973014] and a new closure relation for the drag coefficient [Chedevergne F, Forooghi P. On the importance of the drag coefficient modelling in the double averaged navier-stokes equations for prediction of the roughness effects. J Turbul. 2020 Aug;21(8):463–482. doi:10.1080/14685248.2020.1817465]. The developed model lies on the notion of representative elementary roughness whose characterisation needs to be generalised to provide a rigorous definition for randomly distributed rough configurations. From 3D scans of rough surfaces and simple image processing, a procedure was proposed to compute the blockage factor and the elementary diameter, the two main parameters of the representative elementary roughness. The procedure was successfully applied to two experimental configurations [Squire D, Morrill-Winter C, Hutchins N, et al. Comparison of turbulent boundary layers over smooth and rough surfaces up to high reynolds numbers. J Fluid Mech. 2016;795:210–240; Croner E, Léon O, Chedevergne F. Industrial use of equivalent sand grain height models for roughness modelling in turbomachinery. In: 55th 3AF International Conference on Applied Conference; Poitiers, France; Apr 2021. https://hal.archives-ouvertes.fr/hal-03228846]. Computed velocity profiles match experimental ones when the Reynolds number is varied, showing at the same time the relevance of the procedure and the validity of the double averaged Navier-Stokes model across the different rough regimes.
最近,使用双平均Navier-Stokes公式[Chedevergne F.重新审视了离散元方法。粗糙表面上带传热的壁流的双平均Navier Stokes湍流模型。涡轮机杂志。2021年9月;22(11):713–734。doi:10.1080/14685248..2021.1973014]和阻力系数的一种新的闭合关系[Chedevergne F,Forooghi P.关于双平均navier-stokes方程中阻力系数建模对粗糙度影响预测的重要性。Turbul.2020 Aug;21(8):463–482。doi:10.1080/14685248..2020.1817465]。所开发的模型基于代表性基本粗糙度的概念,需要对其特征进行概括,以提供随机分布粗糙配置的严格定义。通过对粗糙表面的三维扫描和简单的图像处理,提出了一种计算阻塞因子和基本直径的程序,这是代表基本粗糙度的两个主要参数。该程序已成功应用于两种实验配置[Squire D,Morrill Winter C,Hutchins N等人。高雷诺数光滑和粗糙表面上湍流边界层的比较。流体力学杂志。2016;795:210–240;Croner E,Léon O,Chedevergne F。涡轮机械中粗糙度建模的等效沙粒高度模型的工业应用。在:第55届3AF国际应用会议;普瓦捷,法国;2021年4月。https://hal.archives-ouvertes.fr/hal-03228846]。当雷诺数变化时,计算的速度剖面与实验结果相匹配,同时显示了该程序的相关性和双平均Navier-Stokes模型在不同粗糙状态下的有效性。
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引用次数: 1
Effect of high skewness and kurtosis on turbulent channel flow over irregular rough walls 高偏度和峰度对不规则粗糙壁面上湍流通道流动的影响
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-02-01 DOI: 10.1080/14685248.2023.2173761
A. Busse, T. Jelly
The skewness of the roughness height distribution is one of the key topographical parameters that govern roughness effects on wall-bounded turbulence. In this paper mathematical bounds for realisable values of skewness and kurtosis are discussed in the context of irregular multi-scale rough surfaces, which are representative of typical forms of engineering roughness. The properties of a set of irregular rough surfaces fully covered by roughness features with very high positive and negative skewness and high kurtosis are investigated using direct numerical simulations of turbulent channel flow at . While an increase of the roughness function is observed at moderate skewness values in line with empirical predictions and previous results for moderately skewed surfaces, the roughness function saturates at extreme values of skewness. Overall, the roughness effect is found to be more sensitive to skewness over the negative skewness range compared to the positive skewness range. Surface pressure statistics show that for surfaces with extreme skewness fully covered by roughness features extreme pits or peaks do not dominate the roughness effect and that surrounding roughness features (‘background’ roughness) retain a significant influence. This is because, while extreme roughness features emerge as skewness approaches high positive or negative values, they tend to be sparse decreasing their overall impact on the wall-bounded flow.
粗糙度高度分布的偏度是决定壁面湍流粗糙度效应的关键地形参数之一。本文讨论了具有典型工程粗糙度形式的不规则多尺度粗糙表面的偏度和峰度可实现值的数学界限。采用直接数值模拟的方法,研究了一组完全被高度正、负偏度和高峰度粗糙度特征覆盖的不规则粗糙表面的性质。虽然粗糙度函数在中等偏度值下观察到增加,与经验预测和先前中等偏度表面的结果一致,但粗糙度函数在极端偏度值处饱和。总的来说,与正偏度范围相比,在负偏度范围内,粗糙度效应对偏度更敏感。表面压力统计数据表明,对于完全被粗糙度特征覆盖的极端偏度表面,极端凹坑或峰值不会主导粗糙度效应,而周围的粗糙度特征(“背景”粗糙度)仍有显著影响。这是因为,当偏度接近高正值或负值时,极端粗糙度特征就会出现,它们往往是稀疏的,从而降低了它们对壁面流动的总体影响。
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引用次数: 3
Special Issue on the “Numerical Simulation of Rough-Wall Flows” “粗壁流动数值模拟”特刊
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2023-02-01 DOI: 10.1080/14685248.2023.2192037
Dear Readers, This Special Issue features four articles on the numerical simulation and modelling of turbulent flows over rough-wall boundary layers. Roughness is a topic of crucial importance in many fields, ranging from hydroelectric-power generation, to naval hydrodynamics, to meteorology. Historically, experiments have been the principal tool that has shaped our understanding of the modifications of turbulence caused by roughness, and experimental data has been widely used to develop and validate the turbulence models used to close the Reynolds-Averaged Navier-Stokes (RANS) equations. Numerical simulations of rough-wall boundary-ayers that resolved the roughness were hampered by resolution requirements, set out in the review by Jiménez [Ann. Rev. Fluid Mech, vol 36, pp. 173–196 (2004)]. The increase in available computational power and the development of more advanced algorithms, however, have allowed direct and large-eddy simulations to begin having an impact. The data that can be provided by these techniques can answer questions that are difficult to address through experiments, which rarely have access to the region below the crest. This data, hopefully, can also lead to the development of more advanced turbulence models, through improved understanding of the interaction between the roughness sublayer and the outer flow. The issue is opened by a position paper by Paul Durbin, that addresses three matters that affect primarily the development of turbulence models, but also, to some extent, eddyresolving calculations. The paper discusses the limitations of models based on the doubleaveraging operation, compares drag models with boundary-condition modifications, and raises the troubling issue of the change in the value of the von Kármán constant caused by roughness. As mentioned above, one advantage of eddy-resolving simulations of rough-wall flows is the fact that the region below the roughness crest is accessible. This has allowed several researchers to study the effect of the form-induced velocity (the deviation of the timeaveraged velocity from the time and space-averaged – or Double-Averaged (DA) – one) and stresses on the turbulence. Mangavelli and Yuan investigate the role of these quantities on the statistics and on the turbulence structure. They consider channels in which an increase of the flow rate is followed by a steady period during which the flow rate remains constant. Their results highlight the role of the form-induced velocity gradients in generating pressure fluctuations that, in turn, affect the Reynolds-stress budgets. Busse and Jelly perform Direct Numerical Simulations of rough surfaces with very high values of skewness and kurtosis of the geometry. They find that the roughness function saturates for very high values of skewness, and that it is more sensitive to negative than
亲爱的读者,本期特刊收录了四篇关于粗糙壁边界层湍流数值模拟和建模的文章。粗糙度在许多领域都是至关重要的话题,从水力发电到海军流体力学,再到气象学。从历史上看,实验一直是我们理解粗糙度引起的湍流变化的主要工具,实验数据已被广泛用于开发和验证用于闭合雷诺平均纳维-斯托克斯(RANS)方程的湍流模型。解决粗糙度的粗糙壁边界层的数值模拟受到分辨率要求的阻碍,该要求在Jiménez的综述[Ann。Rev.Fluid Mech,第36卷,第173–196页(2004)]中提出。然而,可用计算能力的增加和更先进算法的发展,使得直接和大涡模拟开始产生影响。这些技术可以提供的数据可以回答难以通过实验解决的问题,因为实验很少能够访问波峰以下的区域。希望这些数据也能通过更好地理解粗糙亚层和外部流动之间的相互作用,开发出更先进的湍流模型。保罗·德宾(Paul Durbin)的一份立场文件揭示了这一问题,该文件解决了三个主要影响湍流模型发展的问题,但在某种程度上也影响了解算。本文讨论了基于双重平均运算的模型的局限性,将阻力模型与边界条件修改进行了比较,并提出了由粗糙度引起的von Kármán常数值变化这一令人不安的问题。如上所述,粗糙壁流的涡流解析模拟的一个优点是可以访问粗糙度波峰以下的区域。这使得几位研究人员能够研究形状诱导速度(时间平均速度与时间和空间平均值或双平均值(DA)的偏差)和应力对湍流的影响。Mangavelli和Yuan研究了这些量在统计学和湍流结构中的作用。他们考虑的通道中,流量增加后会有一段稳定的时间,在此期间流量保持不变。他们的结果强调了形状诱导的速度梯度在产生压力波动中的作用,而压力波动反过来又影响雷诺应力预算。Busse和Jelly对几何体具有非常高的偏度和峰度值的粗糙表面进行直接数值模拟。他们发现,粗糙度函数在非常高的偏斜度值下饱和,并且它对负比
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引用次数: 0
An improved method for coherent structure identification based on mutual K-nearest neighbors 一种改进的基于互K近邻的相干结构识别方法
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2022-12-02 DOI: 10.1080/14685248.2022.2159421
Ze-Jun Wei, Jiazhong Zhang, Rui-chang Jia, Jingsheng Gao
ABSTRACT The clustering algorithm based on mutual K-nearest neighbors (MKNN) is presented to identify coherent structures in complicated fluid flows, in order to analyze the mass mixing and transport. First, both trajectory similarity and spatial proximity are used to describe and measure the coherence between particles. These two identification criteria are frame-invariant since they are derived from the relative distances of particles. Then, the concept of mutual K-nearest neighbors is introduced further, and particles with the same cluster label are identified as coherent structures after the initialization and merging process of clusters, while incoherent regions consist of incoherent particles, which cannot form a mutual K-nearest neighbors relationship with other particles. Finally, the MKNN-based clustering algorithm is applied to three examples, realizing the identification and tracking of coherent structures. The identification results show that the MKNN-based clustering algorithm is robust to parameter K, and a higher threshold λ of cluster quantity will be helpful to identify the finer structures in flows. Moreover, spatial proximity performs better in vortex identification, and trajectory similarity is more suitable for elongated structures (jets) identification. Importantly, the method presented analyzes the evolutions of vortices in detail, including the generation, stretching, and merging processes. In summary, the MKNN-based clustering algorithm takes particle trajectories as input data, analyzes the evolution of relative distances between particles quantitatively, and carries out clustering analysis on particles according to trajectory similarity and spatial proximity. The combination of the MKNN-based clustering algorithm and frame-invariant identification criteria shows great potential in coherent structure identification of complicated fluid flows.
提出了一种基于互k近邻(MKNN)的聚类算法,用于识别复杂流体流动中的相干结构,从而分析质量混合和输运过程。首先,利用轨迹相似度和空间接近度来描述和测量粒子间的相干性。这两个识别标准是帧不变的,因为它们是从粒子的相对距离推导出来的。然后,进一步引入相互k近邻的概念,具有相同簇标的粒子经过簇的初始化和合并过程后被识别为相干结构,而非相干区域由不相干粒子组成,它们不能与其他粒子形成相互k近邻关系。最后,将基于mknn的聚类算法应用于三个实例,实现了相干结构的识别与跟踪。识别结果表明,基于mknn的聚类算法对参数K具有较强的鲁棒性,较高的聚类数量阈值λ有助于识别流中较细的结构。空间接近度在涡流识别中表现较好,轨迹相似度在细长结构(射流)识别中表现较好。重要的是,该方法详细分析了涡旋的演化过程,包括涡旋的产生、拉伸和合并过程。综上所述,基于mknn的聚类算法以粒子轨迹作为输入数据,定量分析粒子间相对距离的演变,根据轨迹相似度和空间接近度对粒子进行聚类分析。将基于mknn的聚类算法与帧不变识别准则相结合,在复杂流体流动的相干结构识别中显示出巨大的潜力。
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引用次数: 2
High-enthalpy effects on turbulent coherent structures over a curved compression corner 弯曲压缩角上湍流相干结构的高焓效应
IF 1.9 4区 工程技术 Q3 MECHANICS Pub Date : 2022-12-02 DOI: 10.1080/14685248.2022.2155299
Dong Sun, Qilong Guo, Xianxu Yuan, Chen Li, Pengxin Liu
Direct numerical simulation (DNS) is performed to study high-enthalpy effects on a turbulent boundary layer (TBL) over a curved compression corner. The post-shock flow state behind a wedge flying at Mach 20 and at an altitude of 30 km are chosen for the present simulation. The post-shock temperature is 3400 K, which is high enough to trigger chemical non-equilibrium of the air. A low-enthalpy case is used for comparison. The influences on the instantaneous structures of the streamwise velocity, temperature, and oxygen atoms are examined. The results show that the flow structures are similar on an upstream flat plate in both cases, while on a ramp, streaks of streamwise velocity fluctuations in the high-enthalpy case experience stronger shrink compared with that in the low-enthalpy case. Furthermore, streaks of temperature break into smaller ones when dissociation reactions are introduced. Qualitative and quantitative comparisons are made with the low-enthalpy case; performed using two-point streamwise wall-normal correlation, space–time correlation, and by comparing the propagation velocities of the fluctuations. The results of these analyses validate the observations about the instantaneous fluctuations and show that the differences in the propagation velocity are affected by convection effects and chemical reactions, and that the dissociation reactions accelerate the propagation of temperature fluctuations.
采用直接数值模拟方法研究了弯曲压缩角上湍流边界层的高焓效应。本文选取20马赫飞行高度为30 km的楔形后激波流态进行仿真。冲击后的温度为3400k,这个温度高到足以引发空气的化学不平衡。我们用低焓的情况作比较。考察了对水流速度、温度和氧原子的瞬时结构的影响。结果表明,两种情况下,在上游平板上的流动结构相似,而在坡道上,高焓情况下沿流速度波动的条纹比低焓情况下收缩更强。此外,当引入解离反应时,温度条纹会分解成更小的条纹。与低焓情况作了定性和定量比较;使用两点流式壁法向相关,时空相关,并通过比较波动的传播速度进行。这些分析结果验证了瞬时波动的观测结果,表明传播速度的差异受对流效应和化学反应的影响,解离反应加速了温度波动的传播。
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Journal of Turbulence
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