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Large Eddy Simulations of a Turbulent Premixed Swirling Flame with Finite-Rate Chemistry and Flame-Wrinkling Turbulent Combustion Models 用有限速率化学和火焰起皱湍流燃烧模型模拟湍流预混旋转火焰的大涡
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-04-09 DOI: 10.1007/s10494-025-00652-9
Alessandro Ercole, Daniel Lörstad, Christer Fureby

Lean, premixed, swirl-stabilized flames are widely used in modern Dry Low Emissions gas turbine combustors; however, the turbulent combustion process under those conditions is known to be extremely sensitive and prone to instabilities. Numerical simulations can be a valuable tool in predicting the effects of alternative fuels; however, the sensitivity of the results to different models ought to be outlined. In this work, we present the results of Large Eddy Simulations performed on the CECOST burner with both Finite Rate Chemistry and Flamelet Progress Variable combustion models, non-adiabatic boundary conditions, and radiation modeling. The results highlight a surprising sensitivity of the simulation results in terms of mean fields, flame macrostructure, and flame dynamics. We discuss the model effects on the coupling mechanisms between turbulence and combustion, e.g., thermal expansion, and we conclude that, in particularly sensitive cases, they are capable of locally altering the flowfield to the extent it influences key flow structures on which flame stabilization relies. Additionally, the interaction between the smallest resolved scales of turbulence and the flame front is also affected, resulting in distinct flame dynamics.

在现代干式低排放燃气轮机燃烧室中,广泛使用了稀薄、预混、涡流稳定火焰;然而,在这些条件下的湍流燃烧过程是非常敏感的,容易产生不稳定性。数值模拟是预测替代燃料影响的一个有价值的工具;然而,结果对不同模型的敏感性应该被概述。在这项工作中,我们展示了在CECOST燃烧器上使用有限速率化学和Flamelet Progress变量燃烧模型、非绝热边界条件和辐射模型进行大涡模拟的结果。结果表明,在平均场、火焰宏观结构和火焰动力学方面,模拟结果具有惊人的敏感性。我们讨论了湍流和燃烧之间耦合机制的模型效应,例如热膨胀,我们得出结论,在特别敏感的情况下,它们能够局部改变流场,从而影响火焰稳定所依赖的关键流动结构。此外,湍流最小分解尺度与火焰锋面之间的相互作用也受到影响,从而导致明显的火焰动力学。
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引用次数: 0
LES Modeling of the DLR Generic Single-Cup Spray Combustor: Comparison of Exploratory Category C Jet Fuels DLR通用单杯喷雾燃烧器的LES建模:探索性C类喷气燃料的比较
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-04-03 DOI: 10.1007/s10494-025-00653-8
Arvid Åkerblom, Christer Fureby

The combustion of conventional Jet A, alongside two alternative jet fuels, C1 and C5, is simulated with Large Eddy Simulations (LES) in a generic single-cup spray combustor during idle and cruise conditions. The spray is modeled using Lagrangian particle tracking and the combustion chemistry of each fuel is modeled by skeletal reaction mechanisms. The volatility and atomizability of each fuel directly affect the spray penetration depth, with Jet A having the longest spray and C5 the shortest. All fuels have qualitatively similar flames at idle conditions, but the Jet A flame is relatively lifted at cruise conditions. C1 and C5 have similar flames despite different spray lengths, likely due to the rapid breakup of C1. The fuels produce different emission profiles, which is connected to their respective H/C ratios, equivalence ratios, and aromatics contents. NOx emissions are particularly affected by the mixture fraction in the flame, resulting in high NOx emissions for the compact C1 and C5 flames. Thermoacoustic oscillations are observed in all simulations but are strongest for C1 and C5, which we hypothesize is a result of their high volatility.

在一个普通的单杯喷射燃烧器中,利用大涡模拟(LES)模拟了传统喷气机A以及两种替代喷气燃料C1和C5在怠速和巡航条件下的燃烧情况。喷雾采用拉格朗日粒子跟踪模型,每种燃料的燃烧化学采用骨架反应机理模型。每种燃料的挥发性和雾化性直接影响喷雾穿透深度,其中A射流喷射时间最长,C5射流喷射时间最短。所有燃料在怠速状态下都有类似的火焰,但Jet A的火焰在巡航状态下相对升起。C1和C5有相似的火焰,尽管喷射长度不同,可能是由于C1的快速分裂。燃料产生不同的排放曲线,这与它们各自的H/C比、当量比和芳烃含量有关。NOx排放特别受火焰中混合物分数的影响,导致紧凑的C1和C5火焰的NOx排放量高。在所有模拟中都观察到热声振荡,但C1和C5最强,我们假设这是它们高挥发性的结果。
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引用次数: 0
High Gas Void Fraction Two-Phase Flow Measurement Based on One-Dimensional Acoustic Wave in Pipeline 基于一维声波的管道高含气率两相流测量
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-04-02 DOI: 10.1007/s10494-025-00646-7
Rui Pei, Danping Jia, Lianggui Wang, Zhensheng Zang, Bo Liu, Yong Sun

Parameter measurement of gas–liquid two-phase flow with a high gas void fraction has received great attention in the research field of multiphase flow. As a flowmeter on the sonar principle, the line array-mounted piezoelectric sensors can be applied for gas void fraction measurement of gas–liquid two-phase flow. Firstly, the formula for calculating the density and sound velocity of the medium is analyzed, including: the gas equation of air, the AGA8 and AGA10 standards of natural gas, and the IAPWS-IF97 model of water, combined with the Wood formula and the one-dimensional acoustic attenuation formula of the pipeline, it is deduced that in the gas void fraction > 50% high zone where the gas well is located, the mixed sound velocity increases with the increase of the gas void fraction, showing a monotony increasing correspondence. Secondly, the MVDR beamforming algorithm is applied to solve the “acoustic ridge” in the (k - omega) domain based on the one-dimensional acoustic model of the pipeline to realize the mixed sound velocity measurement of two-phase flow. Finally, the air and water standard device was used to replicate on-site gas well high gas void fraction experiments. The relative error was 2.62% and repeatability was 1.50% for vertically mounted large array spacing. The accuracy meets the requirements for gas well measurements, verifying the feasibility of using the acoustic method to measure gas void fraction. Therefore, it is of great engineering guiding significance to realize the measurement of gas void fraction in the on-site gas well.

高气含率气液两相流的参数测量一直是多相流研究领域中备受关注的问题。线阵式压电传感器是一种基于声纳原理的流量计,可用于气液两相流的气空隙率测量。首先,分析了介质密度和声速的计算公式,包括:空气的气体方程、天然气的AGA8和AGA10标准、水的IAPWS-IF97模型,结合Wood公式和管道的一维声衰减公式,推导出在含气率&gt; 50% high zone where the gas well is located, the mixed sound velocity increases with the increase of the gas void fraction, showing a monotony increasing correspondence. Secondly, the MVDR beamforming algorithm is applied to solve the “acoustic ridge” in the (k - omega) domain based on the one-dimensional acoustic model of the pipeline to realize the mixed sound velocity measurement of two-phase flow. Finally, the air and water standard device was used to replicate on-site gas well high gas void fraction experiments. The relative error was 2.62% and repeatability was 1.50% for vertically mounted large array spacing. The accuracy meets the requirements for gas well measurements, verifying the feasibility of using the acoustic method to measure gas void fraction. Therefore, it is of great engineering guiding significance to realize the measurement of gas void fraction in the on-site gas well.
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引用次数: 0
Experimental and Numerical Investigation of Scale Effects on the Flow Over a Sedan Vehicle 轿车流动尺度效应的实验与数值研究
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-04-01 DOI: 10.1007/s10494-025-00651-w
Guilherme Espíndola da Silva, Rafael Rezende Dias, Odenir de Almeida, Anderson Ramos Proença

Experiments and numerical modeling on vehicle aerodynamics were conducted in a Reynolds (Re) number one order of magnitude lower than that of typical full-scale application. Drag coefficient, velocity profile measurements and flow visualization were the focus with the proposition of comparing scale effects of a 1:10 sedan passenger vehicle model with numerical data from full-scale (1:1) based on the Reynolds Averaged Navier–Stokes (RANS) approach. After the validation of the numerical approach at 1:10 scale, additional investigation of sharp and rounded fillets presented on the car’s geometry showed to be relevant to the calculation of the separating shear layers and drag prediction, although the general wake structures are qualitatively similar. Effects of the reduced scale are translated to low Reynolds number where viscous effects starts to play a role. Detailed flow features such as recirculating regions and reversing flow acts on the model’s surface while the near wake velocity field is well captured and evaluated both experimentally and numerically. The results permitted to characterize flow details based on Re number flow, to show the effects of sharp corners on the model and to scrutinize the influence of scale effects on vehicle’s aerodynamics.

在比典型全尺寸应用低一个数量级的雷诺数(Re)条件下进行了车辆空气动力学实验和数值模拟。阻力系数、速度剖面测量和流动可视化是研究的重点,并提出了将1:10轿车乘用车模型的比例效应与基于Reynolds平均Navier-Stokes (RANS)方法的全尺寸(1:1)数值数据进行比较的建议。在1:10比例的数值方法验证后,对汽车几何形状上呈现的尖锐和圆形圆角的进一步研究表明,尽管一般尾流结构在质量上相似,但与分离剪切层的计算和阻力预测相关。缩小尺度的影响转化为低雷诺数,粘性效应开始发挥作用。详细的流动特征,如回流区域和回流作用于模型表面,而近尾迹速度场被很好地捕获和评估了实验和数值。这些结果可以描述基于雷诺数流的流动细节,显示尖角对模型的影响,并仔细检查尺度效应对车辆空气动力学的影响。
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引用次数: 0
Wall Model Based on a Mixture Density Network to Predict the Wall Shear Stress Distribution for Turbulent Separated Flows 基于混合密度网络的壁面模型预测湍流分离流壁面剪应力分布
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-29 DOI: 10.1007/s10494-025-00641-y
Margaux Boxho, Thomas Toulorge, Michel Rasquin, Grégoire Winckelmans, Grégory Dergham, Koen Hillewaert

Most wall shear stress models assume the boundary layer to be fully turbulent, at equilibrium, and attached. Under these strong assumptions, that are often not verified in industrial applications, these models predict an averaged behavior. To address the instantaneous and non-equilibrium phenomenon of separation, the mixture density network (MDN), the neural network implementation of a Gaussian Mixture Model, initially deployed for uncertainty prediction, is employed as a wall shear stress model in the context of wall-modeled large eddy simulations (wmLES) of turbulent separated flows. The MDN is trained to estimate the conditional probability (p(varvec{tau }_wvert textbf{x})), knowing certain entries (textbf{x}), to better predict the instantaneous wall shear stress (varvec{tau }_w) (which is then sampled from the distribution). In this work, an MDN is trained on a turbulent channel flow at the friction Reynolds number (Re_{tau}) of 1000 and on the two-dimensional periodic hill at the bulk Reynolds number of 10,595. The latter test case is known to feature a massive separation from the hill crest. By construction, the model outputs the probability distribution of the two wall-parallel components of the wall shear stress, conditioned by the model inputs: the instantaneous velocity field, the instantaneous and mean pressure gradients, and the wall curvature. Generalizability is ensured by carefully non-dimensionalizing databases with the kinematic viscosity and wall-model height. The relevance of the MDN model is evaluated a posteriori by performing wmLES using the in-house high-order discontinuous Galerkin (DG) flow solver, named Argo-DG, on a turbulent channel flow at (Re_{tau} =2000) and on the same periodic hill flow. The data-driven WSS model significantly improves the prediction of the wall shear stress on both the upper and lower walls of the periodic hill compared to quasi-analytical WSS models.

大多数壁面剪应力模型假定边界层是完全紊流的、处于平衡状态的和附着的。在这些通常未在工业应用中得到验证的强假设下,这些模型预测了平均行为。为了解决瞬时和非平衡分离现象,混合密度网络(MDN)是一种神经网络实现的高斯混合模型,最初用于不确定性预测,在湍流分离流动的壁面大涡模拟(wmLES)中被用作壁面剪切应力模型。MDN被训练来估计条件概率(p(varvec{tau }_wvert textbf{x})),知道某些条目(textbf{x}),以更好地预测瞬时壁面剪切应力(varvec{tau }_w)(然后从分布中采样)。在这项工作中,MDN在摩擦雷诺数(Re_{tau})为1000的湍流通道流动和体积雷诺数为10,595的二维周期山丘上进行训练。众所周知,后一种测试用例的特点是与山顶有很大的分离。通过构造,模型输出壁面剪切应力两个平行壁面分量的概率分布,该分布以模型输入瞬时速度场、瞬时压力梯度和平均压力梯度以及壁面曲率为条件。通过对具有运动粘度和壁型高度的数据库进行仔细的无量纲化处理,确保了通用性。MDN模型的相关性是通过使用内部的高阶不连续伽辽金(DG)流动求解器(Argo-DG)对(Re_{tau} =2000)的湍流通道流动和相同的周期性山流进行wmLES后验评估的。与准解析型WSS模型相比,数据驱动型WSS模型显著提高了周期丘上下壁面剪应力的预测能力。
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引用次数: 0
Extrapolation Performance of Convolutional Neural Network-Based Combustion Models for Large-Eddy Simulation: Influence of Reynolds Number, Filter Kernel and Filter Size 基于卷积神经网络的大涡模拟燃烧模型外推性能:雷诺数、滤波器核和滤波器尺寸的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-24 DOI: 10.1007/s10494-025-00643-w
Geveen Arumapperuma, Nicola Sorace, Matthew Jansen, Oliver Bladek, Ludovico Nista, Shreyans Sakhare, Lukas Berger, Heinz Pitsch, Temistocle Grenga, Antonio Attili

The extrapolation performance of Convolutional Neural Network (CNN)-based models for Large-Eddy Simulations (LES) has been investigated in the context of turbulent premixed combustion. The study utilises a series of Direct Numerical Simulation (DNS) datasets of turbulent premixed methane/air and hydrogen/air jet flames to train the CNN models. The methane/air flames, which are characterised by increasing Reynolds numbers, are used to model the subgrid-scale flame wrinkling. The hydrogen/air flame, exhibiting complex thermodiffusive instability, is employed to test the ability of the CNN-based combustion models to predict the filtered progress variable source term. This study focuses on the influence of varying training Reynolds numbers, filter sizes, and filter kernels to evaluate the performance of the CNN models to out-of-sample conditions, i.e., not seen during training. The objectives of this study are threefold: (i) analyse the performance of CNN models at different Reynolds numbers compared to the one trained with; (ii) analyse the performance of CNN models at different filter sizes compared to the one trained with; (iii) assess the influence of using different filter kernels (i.e., Gaussian and box filter kernels) between training and testing, to emulate a posteriori applications. The results demonstrate that the CNN models show good extrapolation performance when the training Reynolds number is sufficiently high. Vice versa, when CNN models are trained on low-Reynolds-number flame data, their performance degrades as they are applied to flames with progressively higher Reynolds numbers. When these CNN models are tested on datasets with filter sizes not included in the training process, they exhibit sufficient interpolation capabilities, the extrapolation performance is less precise but still satisfactory overall. This indicates that CNN models can be effectively trained using data filtered with a limited range of filter sizes and then successfully applied across a broader spectrum of filter sizes. Furthermore, when CNNs trained on box-filtered data are applied to Gaussian-filtered data, or vice versa, the models perform well for smaller filter sizes. However, as the filter size increases, the accuracy of the predictions diminishes. Interestingly, increasing the quantity of training data does not significantly enhance model performance. Yet, when training data are distributed with greater weighting towards larger filter sizes, the model’s overall performance improves. This suggests that the strategic selection and weighting of training data can lead to more robust generalization across different filter conditions.

研究了基于卷积神经网络(CNN)的大涡模拟(LES)模型在湍流预混燃烧中的外推性能。该研究利用一系列湍流预混甲烷/空气和氢气/空气射流火焰的直接数值模拟(DNS)数据集来训练CNN模型。以雷诺数增加为特征的甲烷/空气火焰为模型,对亚网格尺度火焰起皱进行了研究。采用具有复杂热扩散不稳定性的氢气/空气火焰,测试了基于cnn的燃烧模型对过滤后的过程变量源项的预测能力。本研究侧重于不同训练雷诺数、滤波器大小和滤波器核的影响,以评估CNN模型在样本外条件下的性能,即在训练过程中未见的情况。本研究的目标有三个:(i)分析CNN模型在不同雷诺数下的性能,并与训练的模型进行比较;(ii)分析CNN模型在不同滤波器尺寸下的性能,并与训练后的模型进行比较;(iii)评估在训练和测试之间使用不同的滤波核(即高斯滤波核和箱形滤波核)对模拟后验应用的影响。结果表明,当训练雷诺数足够高时,CNN模型具有良好的外推性能。反之亦然,当CNN模型在低雷诺数火焰数据上训练时,当它们应用于雷诺数逐渐增加的火焰时,它们的性能会下降。当这些CNN模型在训练过程中不包含过滤器大小的数据集上进行测试时,它们表现出足够的插值能力,外推性能不太精确,但总体上仍然令人满意。这表明CNN模型可以使用有限范围的滤波器尺寸过滤的数据进行有效训练,然后成功地应用于更广泛的滤波器尺寸范围。此外,当在盒滤波数据上训练的cnn应用于高斯滤波数据时,反之亦然,模型在较小的滤波器尺寸下表现良好。然而,随着过滤器尺寸的增加,预测的准确性会降低。有趣的是,增加训练数据的数量并不能显著提高模型的性能。然而,当训练数据以更大的权重分布到更大的过滤器尺寸时,模型的整体性能得到改善。这表明训练数据的策略选择和加权可以在不同的过滤条件下实现更稳健的泛化。
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引用次数: 0
Impact of Ammonia Content on Explosion of Methane‒Air Premixed Gas Duct with Varying Equivalence Ratios 不同当量比下氨含量对甲烷-空气预混管道爆炸的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-11 DOI: 10.1007/s10494-025-00647-6
Quan Wang, Wenyan Zhu, Rui Yang, Yaoyong Yang, Rui Li, Yu Ge, Dingyu Feng, Jianshe Xu

In this study, a duct explosion experiment with an ammonia-methane-air mixture was conducted using a custom-built stainless steel flame acceleration duct (D = 120 mm, L/D = 45.8). The effects of varying ammonia concentrations (φ = 0%, 10%, 20%, 30%) and equivalence ratios (Φ = 0.9, 1.0, 1.1) on flame behavior were examined. The key aspects analyzed included the evolution of the explosion overpressure within the duct and the average propagation velocity of the deflagration flames. The results show that ammonia reduces the brightness of methane-air deflagration flames and that this reduction becomes more pronounced as the ammonia concentration (φ) increases, and the pressure‒time histories inside the duct have a three-peak structure (Pb, Pout, and Pext), which is caused by the burst of the vent cover, venting of burned mixtures, and counterflow flame generated by the external explosion, Additionally, rarefaction waves in the duct following discharge can lead to oscillatory combustion, and a "backfire" phenomenon is observed in all experiments. This study provides fundamental theoretical support for the promotion and application of ammonia fuel.

本研究采用特制的不锈钢火焰加速风道(D = 120 mm, L/D = 45.8),对氨-甲烷-空气混合气进行了风道爆炸实验。考察了不同氨浓度(φ = 0%、10%、20%、30%)和当量比(Φ = 0.9、1.0、1.1)对火焰行为的影响。分析的关键方面包括管道内爆炸超压的演变和爆燃火焰的平均传播速度。结果表明:氨降低了甲烷-空气爆燃火焰的亮度,且随着氨浓度(φ)的增加,这种降低更为明显;管道内的压力-时间历史呈现出三峰结构(Pb、Pout和Pext),这是由通风口盖爆裂、燃烧混合物排出和外部爆炸产生的逆流火焰引起的;排气后管道内的稀薄波会导致振荡燃烧,所有实验均观察到“逆火”现象。本研究为氨燃料的推广应用提供了基础理论支持。
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引用次数: 0
Evolution of a Jet-in-Coflow 同向气流喷射的演变
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-11 DOI: 10.1007/s10494-025-00648-5
Rishikesh Sampat, Ferry Schrijer, Gangoli Rao Arvind

The jet-in-coflow is a two-stream configuration having engineering applications in combustors and gas turbine engine exhausts. In practical systems, the coflow generates a boundary layer of the outer wall of the jet pipe and may also have a certain level of turbulence. In the current work, the evolution of this flow configuration is studied using an air-air turbulent jet in a low turbulence coflow (turbulence intensity < 6%), and the 2D velocity field is measured by planar particle image velocimetry. Cases of varying coflow ratio (ratio of coflow velocity to jet velocity) of 0 (turbulent free jet), 0.09, 0.15, and 0.33 are generated by keeping a constant velocity jet (Re = 14000) and varying the coflow velocity. The trends of jet centerline properties such as velocity decay, jet spread, and jet momentum of jet-in-coflow cases, scaled to represent an equivalent free jet, show deviations from that of the turbulent free jet. The radial profile of mean velocity shows a region of velocity deficit, compared to a turbulent free jet, on the coflow side in the jet-in-coflow cases. In contrast, the turbulence intensity and Reynolds shear stress profiles show an enhanced peak near the interface for the jet-in-coflow cases. Further, conditional statistics were extracted by detecting the interface between the jet and the surroundings, wherein the same trends are observed. The low turbulence levels of the coflow have little effect on the jet/coflow interface, as seen by the conditional enstrophy diffusion and tortuosity compared to a turbulent free jet. The differences at the jet/coflow interface of a jet-in-coflow with respect to a turbulent free jet are attributed to the boundary layer initially developed by the turbulent coflow over the pipe generating the jet, and these are seen throughout the near-to-intermediate field (0(le)x/D(le)40).

共流射流是一种双流结构,在燃烧室和燃气涡轮发动机排气中具有工程应用。在实际系统中,共流在射流管的外壁产生边界层,也可能产生一定程度的湍流。在当前的工作中,使用低湍流共流(湍流强度&lt;6%), and the 2D velocity field is measured by planar particle image velocimetry. Cases of varying coflow ratio (ratio of coflow velocity to jet velocity) of 0 (turbulent free jet), 0.09, 0.15, and 0.33 are generated by keeping a constant velocity jet (Re = 14000) and varying the coflow velocity. The trends of jet centerline properties such as velocity decay, jet spread, and jet momentum of jet-in-coflow cases, scaled to represent an equivalent free jet, show deviations from that of the turbulent free jet. The radial profile of mean velocity shows a region of velocity deficit, compared to a turbulent free jet, on the coflow side in the jet-in-coflow cases. In contrast, the turbulence intensity and Reynolds shear stress profiles show an enhanced peak near the interface for the jet-in-coflow cases. Further, conditional statistics were extracted by detecting the interface between the jet and the surroundings, wherein the same trends are observed. The low turbulence levels of the coflow have little effect on the jet/coflow interface, as seen by the conditional enstrophy diffusion and tortuosity compared to a turbulent free jet. The differences at the jet/coflow interface of a jet-in-coflow with respect to a turbulent free jet are attributed to the boundary layer initially developed by the turbulent coflow over the pipe generating the jet, and these are seen throughout the near-to-intermediate field (0(le)x/D(le)40).
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引用次数: 0
Enhancing Unsteady Reynolds-Averaged Navier–Stokes Modelling from Sparse Data Through Sequential Data Assimilation and Machine Learning 基于序列数据同化和机器学习的稀疏数据非定常reynolds - average Navier-Stokes建模
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-10 DOI: 10.1007/s10494-024-00623-6
Raphaël Villiers, Vincent Mons, Denis Sipp, Eric Lamballais, Marcello Meldi

A Bayesian-based approach is developed to learn predictive turbulence-model corrections for unsteady flow simulations. A distinct feature of the present approach is its ability to perform such a learning task using limited data, which is characteristic of realistic configurations where full sampling can be difficult. Relying on the Expectation–Maximization formalism, the learning task is performed in two steps that optimally combine the strengths of data-assimilation and machine-learning techniques. In a first step, an Ensemble Kalman Filter is used to perform sequential state estimation, namely inferring full flow representations from the considered sparse unsteady data. In a second step, the thus-obtained full states are used to form a training dataset to build the turbulence-model corrections. The present methodology is employed to learn corrective terms for the unsteady Reynolds-Averaged Navier–Stokes (URANS) equations closed by the Spalart–Allmaras model. The sparse data that are used for training are given in the form of a limited number of spatially pointwise velocity observations that are extracted from a Direct Numerical Simulation of the flow past a circular cylinder at (Re=3900). It is shown that the corrected URANS model that is obtained via this strategy significantly outperforms the baseline model despite of the sparse nature of the considered data.

Graphical Abstract

提出了一种基于贝叶斯的方法来学习非定常流场模拟中预测湍流模型的修正。当前方法的一个显著特征是它能够使用有限的数据执行这样的学习任务,这是现实配置的特征,其中完整采样可能是困难的。依靠期望最大化的形式,学习任务分两个步骤执行,最佳地结合了数据同化和机器学习技术的优势。在第一步中,使用集成卡尔曼滤波器进行顺序状态估计,即从考虑的稀疏非稳态数据推断出全流表示。第二步,使用由此获得的完整状态组成训练数据集来构建湍流模型校正。该方法用于学习由Spalart-Allmaras模型封闭的非定常reynolds - average Navier-Stokes (URANS)方程的校正项。用于训练的稀疏数据以有限数量的空间点向速度观测的形式给出,这些观测是从(Re=3900)处流过圆柱体的直接数值模拟中提取的。结果表明,尽管所考虑的数据具有稀疏性,但通过该策略获得的校正URANS模型的性能明显优于基线模型。图形摘要
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引用次数: 0
Towards Efficient Hybrid RANS–LES for Industrial Aeronautical Applications 面向工业航空应用的高效混合ranss - les
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2025-03-08 DOI: 10.1007/s10494-025-00645-8
Axel Probst, Elrawy Soliman, Silvia Probst, Matthias Orlt, Tobias Knopp

Three complementary approaches for reducing the grid-resolution requirements in hybrid RANS–LES computations, namely (a) the use of wall functions, (b) the application of locally embedded WMLES instead of global WMLES, as well as (c) local grid adaptation in LES regions, are assessed for different test cases up to an industry-relevant aeronautical flow. In this context, targeted improvements and an extension to general 3D geometries of an embedded WMLES method in a second-order accurate, unstructured compressible finite-volume solver are presented. For the wall functions and the embedded WMLES, which are applied to the NASA hump flow and the CRM-HL aircraft configuration, significant computational efficiency gains relative to corresponding reference simulations are demonstrated, while the loss of predictive accuracy compared to experiments can be limited to acceptable levels. Using a refinement indicator based on the locally resolved turbulent kinetic energy, the grid adaptation applied to the NASA hump flow and the NACA0021 at stall conditions yields partly even improved results compared to computations on globally-refined fixed grids, but the computational overhead due to the iterative refinement and averaging process was not yet included in this study. With grid-point savings ranging between 1/3 and more than 2/3 of grid points compared to respective reference meshes, all considered methods offer potential towards more efficient hybrid RANS–LES simulations of complex flows, although their accumulated potential through combination still needs to be explored.

在混合ranss - LES计算中,降低网格分辨率要求的三种互补方法,即(a)使用壁函数,(b)应用局部嵌入的WMLES而不是全局WMLES,以及(c)在LES区域的局部网格适应,在不同的测试案例中进行了评估,直至与工业相关的航空流。在此背景下,提出了一种基于二阶精确非结构化可压缩有限体积求解器的嵌入式WMLES方法的有针对性的改进和对一般三维几何形状的扩展。对于应用于NASA驼峰流和CRM-HL飞机配置的壁面函数和嵌入式WMLES,相对于相应的参考模拟,计算效率得到了显著提高,而与实验相比,预测精度的损失可以限制在可接受的水平。采用基于局部解析湍流动能的细化指标,将网格自适应应用于NASA驼峰流和NACA0021失速工况,与全局细化的固定网格计算相比,结果甚至有所改善,但由于迭代细化和平均过程带来的计算开销尚未包括在本研究中。与各自的参考网格相比,节省的网格点在1/3到2/3之间,所有考虑的方法都有可能实现更有效的混合ranss - les复杂流动模拟,尽管它们通过组合积累的潜力仍有待探索。
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Flow, Turbulence and Combustion
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