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Effects of groove distributions on supersonic turbulent channel flows 槽分布对超声速湍流通道流动的影响
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2023-06-12 DOI: 10.1080/14685248.2023.2224019
YaLu Fu, Qingqing Zhou, M. Yu, H. Su, Qilong Guo, Xianxu Yuan
This paper investigates the influences of the distribution of the grooves on the wall on the turbulent statistics, transport of turbulent kinetic energy, and flow structures in supersonic turbulent channel flows at the bulk Mach number of 3.0 by performing direct numerical simulations. It is found that the existence of the grooves leads to the enhancement of the turbulent kinetic energy close to the wall and the abatement thereof above the buffer layer. The density and temperature fluctuations are also enhanced, but only within the buffer layer, above which the influences of the grooves can be disregarded. The pressure fluctuations, however, are significantly increased, which is attributed to the radiated acoustic waves from the wall generated by the disturbances on the wall. Such inference is substantiated by the fact that the inclination angles of the phase averaged pressure are related to the Mach number. Nevertheless, the acoustic and dynamic processes seem to be decoupled, leading to insignificant pressure-dilatation terms in the transport of turbulent kinetic energy.
本文通过直接数值模拟研究了壁面凹槽的分布对体积马赫数为3.0的超音速湍流通道流中湍流统计、湍流动能传输和流动结构的影响。研究发现,沟槽的存在导致靠近壁的湍流动能增强,并在缓冲层上方减少湍流动能。密度和温度波动也被增强,但仅在缓冲层内,在缓冲层之上可以忽略凹槽的影响。然而,压力波动显著增加,这归因于墙壁上的扰动产生的来自墙壁的辐射声波。相平均压力的倾角与马赫数有关,这一事实证实了这种推断。然而,声学和动力学过程似乎是解耦的,导致湍流动能传输中的压力膨胀项微不足道。
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引用次数: 0
Toward the use of LES for industrial complex geometries. Part I: automatic mesh definition 用于工业复杂几何形状的LES。第一部分:自动网格定义
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2023-05-28 DOI: 10.1080/14685248.2023.2214399
A. Grenouilloux, J. Leparoux, V. Moureau, G. Balarac, T. Berthelon, R. Mercier, M. Bernard, P. Bénard, G. Lartigue, O. Métais
With the constant increase of computational power for the past years, Computational Fluid Dynamics (CFD) has become an essential part of the design in complex industrial processes. In this context, among the scale resolving numerical methods, Large-Eddy Simulation (LES) has become a valuable tool for the simulation of complex unsteady flows. To generalise the industrial use of LES, two main limitations are identified. First, the generation of a proper mesh can be a difficult task, which often relies on user-experience. Secondly, the ‘time-to-solution’ associated with the LES approach can be prohibitive in an industrial context. In this work, these two challenges are addressed in two parts. In this Part I, an automatic procedure for mesh definition is proposed, whereas the Part II is devoted to numerical technique to reduce the LES ‘time-to-solution’. The main goal of these works is then to develop an accurate LES strategy at an optimised computational cost. Concerning the mesh definition, because LES is based on separation between resolved and modelled subgrid-scales, the quality of the computed solution is then directly linked to the quality of the mesh. However, the definition of an adequate mesh is still an issue when LES is used to predict the flow in an industrial complex geometry without a priori knowledge of the flow dynamics. This first part presents a user-independent approach for both the generation of an initial mesh and the convergence of the mesh in the LES framework. An automatic mesh convergence strategy is proposed to ensure LES accuracy. This strategy is built to guarantee a mesh-independent mean field kinetic energy budget. The mean field kinetic energy is indeed expected to be mesh independent since only turbulent scales should be unresolved in LES. The approach is validated on canonical cases, a turbulent round jet and a turbulent pipe flow. Finally, the PRECCINSTA swirl burner is considered as a representative case of complex geometry. First, an algorithm for the generation of an unstructured mesh from a STL file is proposed to generate a coarse initial mesh, before applying the mesh convergence procedure. The overall strategy including automatic first mesh generation and its automatic adaptation paves the way to use LES approach as a decision support tool for various applications, provided that the ‘time-to-solution’ is compatible with the applications constraint. A second paper, referred as Part II, is devoted to the reduction of this time.
近年来,随着计算能力的不断提高,计算流体动力学(CFD)已成为复杂工业过程设计的重要组成部分。在此背景下,在各种尺度分解数值方法中,大涡模拟(Large-Eddy Simulation, LES)已成为模拟复杂非定常流场的重要工具。为了概括LES的工业用途,确定了两个主要限制。首先,生成合适的网格可能是一项艰巨的任务,这通常依赖于用户体验。其次,与LES方法相关的“解决方案的时间”在工业环境中可能是令人望而却步的。在这项工作中,这两个挑战将分两部分解决。在第一部分中,提出了网格定义的自动程序,而第二部分则致力于数值技术以减少LES的“求解时间”。这些工作的主要目标是在优化的计算成本下开发准确的LES策略。关于网格的定义,因为LES是基于分离的分解和建模的子网格尺度,计算解的质量直接与网格的质量挂钩。然而,当在没有流动动力学先验知识的情况下使用LES来预测工业复杂几何结构中的流动时,适当网格的定义仍然是一个问题。第一部分介绍了一种独立于用户的方法,用于生成初始网格和在LES框架中收敛网格。提出了一种自动网格收敛策略来保证LES精度。该策略的建立是为了保证网格无关的平均场动能收支。平均场动能确实期望与网格无关,因为在LES中只需要解决湍流尺度。通过典型情况、湍流圆射流和湍流管流对该方法进行了验证。最后,以PRECCINSTA涡流燃烧器为复杂几何结构的典型案例。首先,提出了一种从STL文件生成非结构化网格的算法,在应用网格收敛过程之前生成粗初始网格。整体策略包括自动第一个网格生成及其自动适应,为使用LES方法作为各种应用的决策支持工具铺平了道路,前提是“解决时间”与应用约束兼容。第二篇论文,称为第二部分,致力于减少这段时间。
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引用次数: 1
Physical/numerical duality of explicit/implicit subgrid-scale modelling 显式/隐式子网格尺度建模的物理/数值对偶
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2023-05-25 DOI: 10.1080/14685248.2023.2215530
R. Vicente Cruz, E. Lamballais
The development of implicit approaches has prompted debate on the actual usefulness of any explicit subgrid-scale modelling in large-eddy simulation. This question is addressed here by considering two generic turbulent flows: (i) the Taylor-Green vortex problem; (ii) the pipe flow. For both flow configurations, implicit modelling is found to overtake the very popular Smagorinsky model. To understand this robust observation, an analysis in the Fourier space is presented for the Taylor-Green vortex problem. The concept of spectral eddy viscosity, widely used in the pioneer work of Marcel Lesieur in two-point closure and subgrid-scale modelling, is revisited in a general framework based on explicit/implicit subgrid-scale modelling. In particular, the essentially anisotropic nature of implicit modelling is exhibited, as a favourable feature in terms of consistency with the computational mesh. Smagorinsky's model, considered as a generic explicit subgrid-scale model in the framework of Boussinesq's hypothesis, is found to be highly sensitive to numerical errors. Removing the latter is easy but makes computationally inefficient this type of explicit modelling. Comparisons between a priori and a posteriori spectral eddy viscosities show that neither Smagorinsky's model nor implicit modelling can mimic the expected spectral behaviour. Smagorinsky's model is observed to be weakly scale-selective with a poor ability to actually filter the solution. The feature of scale-selectivity is well replicated by implicit modelling which exhibits excellent capabilities for filtering. However, its lack of influence at the largest scales is against the expected behaviour for the spectral eddy viscosity at low wavenumber through the establishment of a non-zero plateau value. This lack of consistency of implicit LES could be overcome thanks to an extra explicit modelling but the attempt to mix Smagorinsky's model and implicit LES is not successful in this study. The potential of implicit large-eddy simulation is also exhibited for the accurate computation of near-wall turbulence inside a pipe flow despite the use of a regular Cartesian mesh with an immersed boundary method. Interestingly, the resulting coarse wall-normal resolution in the near-wall direction does not prevent the reliable prediction of statistical profiles up to the capture of subgrid-scale details. It is suggested that the regularisation associated with implicit modelling is a necessary condition to reach numerical accuracy. However, to faithfully represent the large-scale dynamics, present results confirm that non-local triad interactions must be taken into account as widely discussed in the inspiring textbook Lesieur [Turbulence in fluids. 4th ed. Springer; 2008] of Marcel Lesieur.
隐式方法的发展引发了关于显式亚网格尺度模型在大涡模拟中的实际用途的争论。这里通过考虑两种一般的湍流来解决这个问题:(i)泰勒-格林涡旋问题;(ii)管道流量。对于这两种流配置,隐式建模被发现超越了非常流行的Smagorinsky模型。为了理解这一强有力的观察结果,在傅里叶空间中对泰勒-格林涡旋问题进行了分析。在Marcel Lesieur的两点闭合和亚网格尺度建模的先驱工作中广泛使用的频谱涡流粘度概念,在基于显式/隐式亚网格尺度建模的一般框架中重新审视。特别是,隐式建模的本质各向异性被展示出来,作为与计算网格一致性方面的有利特征。Smagorinsky模型被认为是Boussinesq假设框架下的一般显式亚网格尺度模型,它对数值误差非常敏感。去除后者很容易,但会使这种显式建模的计算效率低下。先验和后验光谱涡流粘度的比较表明,Smagorinsky的模型和隐式模型都不能模拟预期的光谱行为。Smagorinsky的模型被观察到是弱尺度选择性的,实际上过滤溶液的能力很差。隐式建模很好地复制了尺度选择性的特征,显示出良好的滤波能力。然而,它在最大尺度上缺乏影响,这与通过建立非零平台值对低波数谱涡粘度的预期行为相反。由于采用了额外的显式建模,内隐LES的不一致性可以得到克服,但在本研究中,将Smagorinsky的模型与内隐LES混合的尝试并不成功。隐式大涡模拟的潜力也显示了精确计算近壁湍流管内流动,尽管使用常规笛卡尔网格与浸入边界法。有趣的是,在近壁方向产生的粗墙法向分辨率并不妨碍对统计剖面的可靠预测,直到捕获亚网格尺度的细节。结果表明,隐式建模的正则化是达到数值精度的必要条件。然而,为了忠实地表示大尺度动力学,目前的结果证实,必须考虑非局部三元相互作用,正如鼓舞人心的教科书Lesieur[流体中的湍流]中广泛讨论的那样。第4版b施普林格;[2008] Marcel Lesieur。
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引用次数: 1
Multi-fidelity parametric sensitivity estimation for large eddy simulation with the Spalart–Allmaras model 基于Spalart-Allmaras模型的大涡模拟多保真度参数灵敏度估计
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2023-05-04 DOI: 10.1080/14685248.2023.2212982
Nikhil Oberoi, Walter Arias-Ramírez, J. Larsson
ABSTRACT A computationally affordable approach to estimate parametric sensitivities of engineering relevant quantities of interest for a large eddy simulation (LES) is explored. The method is based on defining a Reynolds-averaged Navier–Stokes (RANS) problem that is constrained to reproduce the LES mean flow field. The proposed method is described and assessed for a shock/boundary layer interaction problem, where the shock angle and wall temperature are considered variable or uncertain. In the current work, we show that the proposed method offers improved sensitivity predictions for certain flow features as compared to standalone RANS simulations, while using a fraction of the LES cost.
摘要:探索了一种计算合理的方法来估计大涡模拟(LES)中感兴趣的工程量的参数灵敏度。该方法基于定义雷诺平均纳维-斯托克斯(RANS)问题,该问题被约束为再现LES平均流场。针对冲击/边界层相互作用问题描述和评估了所提出的方法,其中冲击角和壁温被认为是可变的或不确定的。在目前的工作中,我们表明,与独立的RANS模拟相比,所提出的方法对某些流动特征提供了改进的灵敏度预测,同时使用了LES成本的一小部分。
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引用次数: 0
Influence of streamwise and spanwise wall magnet arrays on near-wall MHD turbulence 流向和展向壁面磁体阵列对近壁MHD湍流的影响
IF 1.9 4区 工程技术 Q1 Engineering Pub Date : 2023-04-20 DOI: 10.1080/14685248.2023.2203497
Amandine Capogna, O. Doche, J. Schillings, L. Davoust, S. Tardu
ABSTRACT The effect of a permanent, localised and non-uniform magnetic field on the near-wall turbulence in a fully developed channel flow is analysed through direct numerical simulations. The magnetic field distribution is obtained by an arrangement of magnets placed on the upper and lower channel walls, producing preferentially either a streamwise (i.e. in the main flow direction) or a spanwise magnetic field component. The wall shear stress is drastically reduced under the effect of the streamwise arrangement of the wall magnets wherein both streamwise and wall-normal magnetic fields are involved. The magnetic braking effect leads to an important increase of the body force. Paradoxically enough, the small-scale turbulent activity is significantly increased above the low buffer layer in this case. On the opposite, imposing a magnetic field with a predominant spanwise component reduces tremendously the population of the turbulent shear stress producing eddies by directly affecting the regeneration of the buffer layer quasi-streamwise vortices. The flow is quasi-relaminarised between the magnets in the low-buffer and viscous sublayers. The wall shear increases in a predictable and deterministic way over the magnets, wherein the wall normal magnetic field component induces electric current loops.
摘要通过直接数值模拟,分析了在完全发展的通道流中,永久、局部和非均匀磁场对近壁湍流的影响。磁场分布是通过放置在上下通道壁上的磁体的排列来获得的,优选产生顺流(即在主流方向上)或展向磁场分量。壁剪切应力在壁磁体的流向布置的作用下显著降低,其中包括流向磁场和壁法向磁场。磁性制动作用导致车身力的显著增加。矛盾的是,在这种情况下,低缓冲层上方的小规模湍流活动显著增加。相反,通过直接影响缓冲层准流向涡流的再生,施加具有主要展向分量的磁场极大地减少了湍流剪切应力产生涡流的数量。低缓冲层和粘性子层中的磁体之间的流动是准重新分级的。壁剪切以可预测和确定的方式在磁体上增加,其中壁法向磁场分量感应电流回路。
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引用次数: 0
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 Q1 Engineering 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 Q1 Engineering 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 Q1 Engineering 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 Q1 Engineering 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 Q1 Engineering 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
期刊
Journal of Turbulence
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