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Reconstruction of a Continuous Flow Field from Discrete Experimental Data Points using Physics-Informed Neural Networks 利用物理信息神经网络从离散实验数据点重建连续流场
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-26 DOI: 10.1007/s10494-025-00671-6
Mattias E. G. Eck, Jakob G. R. von Saldern, Philipp zur Nedden, Alessandro Orchini, Christian Oliver Paschereit

Gas turbine combustors commonly feature swirling flows. The swirl is usually characterized by the swirler geometry. The development of swirl-stabilized burners includes the experimental assessment of the resulting flow field and the quantification of the swirl, e.g. through Laser Doppler Anemometry (LDA). LDA accurately acquires flow velocity components in a small probing volume. Nevertheless, the measurement quality represents a trade-off between invested measurement time and spatial resolution. In this work, the potential of Physics-Informed Neural Networks (PINNs) to assimilate flow fields from sparse LDA measurements is investigated. A novel burner is employed in which the swirl is fluidically adjustable from a non-swirled jet to a fully swirled flow through a secondary air flow injection. Data is acquired through LDA within spatial measurement grids at multiple axial distances from the swirler. Assuming symmetry, axial, tangential, and radial velocity components are determined. A PINN is subsequently trained with the acquired data, creating a continuous and differentiable flow field representation by evaluating RANS equations. By systematically reducing the training data while evaluating the physical validity of the reconstructed field, a minimum training data requirement is identified. As a result, for three operating conditions, the flow field is adequately characterized by a minimum of measurement points.

燃气轮机燃烧室通常以旋流为特征。旋流通常以旋流几何为特征。旋流稳定燃烧器的发展包括对产生的流场的实验评估和旋流的量化,例如通过激光多普勒风速测量(LDA)。LDA在很小的探测体积内精确地获取流速分量。然而,测量质量代表了投入的测量时间和空间分辨率之间的权衡。在这项工作中,研究了物理信息神经网络(pinn)从稀疏LDA测量中吸收流场的潜力。采用了一种新型燃烧器,其涡流可通过二次气流喷射从非旋流射流到完全旋流射流进行流体调节。数据通过LDA在距离旋流器多个轴向距离的空间测量网格内获取。假设对称,则确定轴向、切向和径向速度分量。然后用获取的数据训练一个PINN,通过评估RANS方程来创建一个连续的、可微的流场表示。通过系统地减少训练数据,同时评估重建场的物理有效性,确定了最小的训练数据需求。因此,对于三种工况,流场可以用最少的测量点来充分表征。
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引用次数: 0
Data-Driven Turbulence Modelling for Magnetohydrodynamic Flows in Annular Pipes 环形管道中磁流体动力流动的数据驱动湍流模型
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-24 DOI: 10.1007/s10494-025-00668-1
Alejandro Montoya Santamaría, Tyler Buchanan, Francesco Fico, Ivan Langella, Richard P. Dwight, Nguyen Anh Khoa Doan

We present a data-driven approach to Reynolds-averaged Navier-Stokes (RANS) turbulence closure modelling in magnetohydrodynamic (MHD) flows. In these flows the magnetic field interacting with the conductive fluid induces unconventional turbulence states such as quasi two-dimensional (2D) turbulence, and turbulence suppression, which are poorly represented by standard Boussinesq models. Our data-driven approach uses time-averaged Large Eddy Simulation (LES) data of annular pipe flows, at different Hartmann numbers, to derive corrections for the (k)-(omega) SST model. Correction fields are obtained by injecting time averaged LES fields into the MHD RANS equations, and examining the remaining residuals. The correction to the Reynolds-stress anisotropy is approximated with a modified Tensor Basis Neural Network (TBNN). We extend the generalised eddy hypothesis with a traceless antisymmetric tensor representation of the Lorentz force to obtain MHD flow features, thus keeping Galilean and frame invariance while including MHD effects in the turbulence model. The resulting data-driven models are shown to reduce errors in the mean flow, and to generalise to annular flow cases with different Hartmann numbers from those of the training cases.

我们提出了一种数据驱动的方法,用于磁流体动力学(MHD)流动中的reynolds -average Navier-Stokes (RANS)湍流闭合模型。在这些流动中,磁场与导电流体的相互作用引起了非常规的湍流状态,如准二维(2D)湍流和湍流抑制,这是标准Boussinesq模型难以表示的。我们的数据驱动方法使用环空管道流动的时间平均大涡模拟(LES)数据,在不同的哈特曼数下,得出(k) - (omega)海温模型的修正。通过在MHD RANS方程中注入时间平均LES场,并检查剩余残差,得到校正场。采用改进的张量基神经网络(TBNN)逼近雷诺应力各向异性的修正。我们用洛伦兹力的无迹反对称张量表示来扩展广义涡流假设,以获得MHD流动特征,从而在湍流模型中包括MHD效应的同时保持伽利略和帧不变性。由此产生的数据驱动模型被证明可以减少平均流量的误差,并推广到与训练案例不同的哈特曼数的环空流案例。
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引用次数: 0
Effect of coolant on wall heat flux in premixed turbulent combustion 冷却剂对预混湍流燃烧壁面热流密度的影响
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-24 DOI: 10.1007/s10494-025-00672-5
Chenlin Guo, Kunlin Li, Lipo Wang

Inside the engine combustor, addition of the coolant from the wall makes the physics of flame-wall interaction (FWI) even more complex. Considering the application relevance, wall heat flux is analyzed and modeled. Under various flow conditions, the model predictions satisfactorily match the direct numerical simulation (DNS) results. The effects of coolant on the entrained flame and head-on flame are clearly different. Statistics of the near-wall flame orientation and curvature are sensitive to the coolant blowing ratio (BR). The entrained flame is more likely to be swept away, while the head-on flame is more stable. Both the model and simulation indicate consistently that an increase in BR, although quantitatively small, will greatly reduce the wall heat flux induced by the head-on flame. In contrast, the change of wall heat flux induced by the entrained flame is much smaller. Since most of the near-wall flame is head-on, the BR effect is significant. Additionally, in an a priori large eddy simulation (LES) study, the model predictions show better consistency with DNS, in comparison with the most commonly used turbulence sub-grid models.

在发动机燃烧室内部,壁面冷却剂的加入使得火焰-壁面相互作用(FWI)的物理特性更加复杂。考虑到应用的相关性,对墙体热流密度进行了分析和建模。在各种流动条件下,模型预测结果与直接数值模拟(DNS)结果吻合较好。冷却剂对夹带火焰和迎面火焰的影响明显不同。近壁火焰方向和曲率的统计数据对冷却剂吹气比(BR)敏感。夹带的火焰更有可能被扫走,而迎面的火焰则更稳定。模型和仿真结果一致表明,BR的增加虽然数量不大,但会大大降低迎面火焰引起的壁面热流密度。相比之下,夹带火焰引起的壁面热流密度变化要小得多。由于近壁火焰大部分是正面的,因此BR效应显著。此外,在先验大涡模拟(LES)研究中,与最常用的湍流子网格模型相比,模型预测与DNS具有更好的一致性。
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引用次数: 0
Machine-Learning-Assisted Blending of Data-Driven Turbulence Models 数据驱动湍流模型的机器学习辅助混合
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-24 DOI: 10.1007/s10494-025-00661-8
Mourad Oulghelou, Soufiane Cherroud, Xavier Merle, Paola Cinnella

We present a machine learning–based framework for blending data-driven turbulent closures in the Reynolds-Averaged Navier–Stokes (RANS) equations, aimed at improving their generalizability across diverse flow regimes. Specialized models (hereafter referred to as “experts”) are trained via sparse Bayesian learning and symbolic regression for distinct flow classes, including turbulent channel flows, separated flows, and a near sonic axisymmetric jet. These experts are then combined intrusively within the RANS equations using weighting functions, initially derived via a Gaussian kernel on a dataset spanning equilibrium shear conditions to separated flows. Finally, a Random Forest Regressor is trained to map local physical features to these weighting functions, enabling deployment in previously unseen scenarios. We evaluate the resulting blended model on three representative test cases: a turbulent zero-pressure-gradient flat plate, a wall-mounted hump, and a NACA0012 airfoil at various angles of attack, ranging from fully attached to near-stall conditions. Results for these 2D flows show that the proposed strategy adapts to local flow characteristics, effectively leveraging the strengths of individual models and consistently selecting the most suitable expert in each region. Notably, the blended model also demonstrates robustness for flow configurations not included in the training set, underscoring its potential as a practical and generalizable framework for RANS turbulence modeling.

我们提出了一个基于机器学习的框架,用于在reynolds - average Navier-Stokes (RANS)方程中混合数据驱动的湍流闭包,旨在提高它们在不同流动状态下的可泛化性。专门的模型(以下称为“专家”)通过稀疏贝叶斯学习和符号回归来训练不同的流动类别,包括湍流通道流动,分离流动和近音速轴对称射流。然后使用加权函数将这些专家组合到RANS方程中,这些权重函数最初是通过跨越平衡剪切条件到分离流的数据集上的高斯核得到的。最后,训练随机森林回归器将局部物理特征映射到这些加权函数,从而实现在以前未见过的场景中部署。我们在三个有代表性的测试案例上评估了混合模型:湍流零压力梯度平板,壁挂式驼峰和NACA0012翼型在不同攻角下,从完全附着到接近失速状态。二维流的结果表明,所提出的策略适应了局部流的特征,有效地利用了各个模型的优势,并始终在每个区域选择最合适的专家。值得注意的是,混合模型还展示了对未包含在训练集中的流动配置的鲁棒性,强调了其作为RANS湍流建模的实用和可推广框架的潜力。
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引用次数: 0
Numerical Study of Turbulent Natural Convection with a Descending Free Surface Due to Evaporation 随蒸发而下降的自由面湍流自然对流的数值研究
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-23 DOI: 10.1007/s10494-025-00664-5
Lise Ceresiat, Miltiadis V. Papalexandris

In this paper we report on Large Eddy Simulations of natural convection in water pools with evaporation across the free surface and at the hard turbulence regime. The free surface is approximated as a free-slip top boundary. The loss of water is estimated via a dynamic and inhomogeneous evaporation model. Also, the descent of the free surface is accounted for by regularly reducing the computational domain and applying a remeshing procedure. We present results for 4 different Rayleigh numbers, ranging from (boldsymbol{Ra = 1.35 times {10^8}}) to (boldsymbol{Ra{ = 10^{10}}}). Our simulations predict a slow decrease of the free-surface temperature and evaporation rate over time. This may be attributed to the descent of the free surface due to evaporation which tends to reduce the intensity of turbulent motions. On the other hand, the flow structure remains the same throughout the duration of the simulations. More specifically, the flow is organized in a large scale circulation aligned in a diagonal plane with smaller convective rolls near the corners of the domain. Also, the absence of a top hydrodynamic boundary layer enhances turbulent mixing and convective heat transfer near the free surface. This enhancement is manifested by a shift of the profile of the mean surface temperature towards the upper part of the domain, with the shift becoming more pronounced as the turbulence intensity increases. Herein we also provide results for the Nusselt number (boldsymbol{Nu}) and present a new (boldsymbol{Nu - Ra}) scaling for convection in pools and cavities that covers a large range of turbulence intensities.

在本文中,我们报告了大涡模拟的自然对流的水池蒸发横跨自由表面和在硬湍流状态。自由表面近似为自由滑移的顶边界。水的损失是通过一个动态和非均匀蒸发模型来估计的。此外,通过定期减少计算域和应用重网格程序来解释自由表面的下降。我们给出了4种不同瑞利数的结果,范围从(boldsymbol{Ra = 1.35 times {10^8}})到(boldsymbol{Ra{ = 10^{10}}})。我们的模拟预测随着时间的推移,自由表面温度和蒸发速率会缓慢下降。这可能是由于蒸发导致的自由表面下降,这往往会降低湍流运动的强度。另一方面,流动结构在整个模拟过程中保持不变。更具体地说,流动被组织成一个大尺度的环流,在一个对角线平面上排列,在区域的角落附近有较小的对流卷。此外,缺乏顶部流体动力边界层增强了自由表面附近的湍流混合和对流换热。这种增强表现为平均地表温度向区域上半部分的移动,随着湍流强度的增加,这种移动变得更加明显。本文还提供了Nusselt数(boldsymbol{Nu})的结果,并提出了一个新的(boldsymbol{Nu - Ra})尺度,用于覆盖大范围湍流强度的池和空腔中的对流。
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引用次数: 0
Numerical Study on the Effect of Shape, Stagger, Separation Distance, and Number of Obstacles on Methane-Air Flame Acceleration in Partially Confined Geometry 部分受限几何条件下障碍物形状、错开、分离距离和数量对甲烷-空气火焰加速影响的数值研究
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-17 DOI: 10.1007/s10494-025-00666-3
Ayushi Mishra, Krishnakant Agrawal, Mayank Kumar

The presence of obstacles in confined spaces results in high overpressure from premixed flame combustion and the specific obstacle configurations significantly affect flame dynamics. Although linear plate-type obstacles had been extensively explored for flame acceleration, the present study focused on obstacles with volume blockage. This paper investigated the effects of different shapes of such obstacles and their configurations on the flame propagation characteristics inside a partially confined geometry. Four different flame surface density models were tested: Algebraic Flame Surface Wrinkling model, Turbulent Flame Speed Closure, Algebraic model and Transport model. The Transport model by Weller was selected with the dynamic k-equation Large Eddy Simulation model for turbulence modelling. Four shapes of obstacles, triangular, rectangular, elliptical and circular were examined. The effect of separation distance (standard-100 mm, spaced-out-150 mm and squeezed-in-70 mm) between the obstacles was investigated, along with their number and configuration (in-line and staggered). The results revealed that for standard separation, the overpressure peak is maximum for triangular and minimum for circular obstacles. Staggering the obstacles reduced the peak overpressure. Further, the overpressure peak reduced with both increasing and reducing separation compared to the standard case for triangle, ellipse, and circle-shaped obstacles, whereas it increased with greater separation for rectangular obstacles. The most significant reduction across all cases was observed upon reducing the separation distance. Oscillatory pressure behaviour owing to combustion in unburnt mixture pockets is reported for rectangle and triangle obstacles, attributed to their minimal sphericity. The flame surface area, representative of the turbulence generated, is observed to be directly correlated with the peak overpressure value across the dataset.

在密闭空间中障碍物的存在导致预混火焰燃烧产生高超压,障碍物的特定构型对火焰动力学有显著影响。虽然线性板型障碍物对火焰加速的研究已经非常广泛,但目前的研究主要集中在具有体积阻塞的障碍物上。本文研究了这种障碍物的不同形状及其构型对部分受限几何空间内火焰传播特性的影响。测试了四种不同的火焰表面密度模型:代数火焰表面起皱模型、湍流火焰速度关闭模型、代数模型和传输模型。选用Weller Transport模型,采用动态k-方程大涡模拟模型进行湍流模拟。测试了四种形状的障碍物:三角形、矩形、椭圆形和圆形。研究了障碍物之间的分离距离(标准- 100mm,间隔- 150mm和挤压- 70mm)以及它们的数量和配置(直线和交错)的影响。结果表明:在标准分离条件下,三角形障碍物的超压峰值最大,圆形障碍物的超压峰值最小;交错的障碍物减少了峰值超压。此外,与标准情况相比,三角形、椭圆形和圆形障碍物的超压峰值随距离的增加和减少而降低,而矩形障碍物的超压峰值随距离的增加而增加。所有病例中最显著的减少是在减少分离距离时观察到的。据报道,由于矩形和三角形障碍物的最小球形度,在未燃烧的混合物口袋中燃烧产生的振荡压力行为。火焰表面积代表了所产生的湍流,被观察到与整个数据集的峰值超压值直接相关。
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引用次数: 0
How Far Does the Influence of the Free Surface Extend in Turbulent Open Channel Flow? 自由面对明渠湍流的影响有多大?
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-16 DOI: 10.1007/s10494-025-00665-4
Christian Bauer, Yoshiyuki Sakai, Markus Uhlmann
<div><p>Turbulent open channel flow is known to feature a multi-layer structure near the free surface. In the present work we employ direct numerical simulations considering Reynolds numbers up to <span>(boldsymbol{R{e_tau } = 900})</span> and domain sizes large enough (<span>(boldsymbol{{L_x} = 12pi h})</span>, <span>(boldsymbol{{L_z} = 4pi h})</span>) to faithfully capture the effect of very-large-scale motions in order to test the proposed scaling laws and ultimately answer the question: How far does the influence of the free surface extend? In the region near the free surface, where fluctuation intensities of velocity and vorticity become highly anisotropic, we observe the previously documented triple-layer structure, consisting of a wall-normal velocity damping layer that scales with the channel height <span>(h)</span>, and two sublayers that scale with the near-surface viscous length scale <span>(boldsymbol{{ell _{boldsymbol{V}}} = {boldsymbol{Re}}_{boldsymbol{b}}^{ - 1/2}h})</span> and with the Kolmogorov length scale <span>(boldsymbol{{ell _{boldsymbol{K}}} = {boldsymbol{Re}}_{boldsymbol{b}}^{ - 3/4}h})</span>, respectively. The scaling laws previously proposed by Calmet and Magnaudet [J. Fluid. Mech. <b>474</b>, 355–378 (2003)] are found to hold with the following exceptions. The thin layer, where the intensity of surface-parallel components of the vorticity rapidly decreases to zero, is here found to scale with the Kolmogorov length scale <span>(boldsymbol{{ell _{boldsymbol{K}}}})</span> rather than with the near-surface viscous scale <span>(boldsymbol{{ell _{boldsymbol{V}}}})</span>. In addition, we argue that the Kolmogorov length scale is the relevant scale for the mean velocity gradient near the free surface. Both the mean velocity gradient and the fluctuation intensity of the surface-parallel component of vorticity decay to zero in the Kolmogorov sublayer <span>(boldsymbol{{delta _{boldsymbol{K}}} approx 20{ell _{boldsymbol{K}}}})</span>. On the other hand, the layer, where the wall-normal turbulence intensity decreases linearly to zero near the free surface, scales with <span>(boldsymbol{{ell _{boldsymbol{V}}}})</span> rather than <span>(boldsymbol{{ell _{boldsymbol{K}}}})</span> as suggested by Calmet and Magnaudet. The corresponding near-surface viscous sublayer measures <span>(boldsymbol{{delta _{boldsymbol{V}}} approx {ell _{boldsymbol{V}}}})</span>. Importantly, the streamwise turbulence intensity profile for <span>(boldsymbol{{boldsymbol{R}}{{boldsymbol{e}}_tau } geq 400})</span> suggests that the influence of the free-slip boundary penetrates essentially all the way down to the solid wall through the appearance of enhanced very-large-scale motions (<span>(boldsymbol{{delta _{{boldsymbol{SIL}}}} approx h})</span>). In contrast, the layer where the surface-normal turbulence intensity is damped to zero is restricted to the free surface (<span>(boldsymbol{{delta _{{boldsymbol{NVD}}}} approx 0.3h})</span>). As a consequence, the
众所周知,明渠湍流在自由表面附近具有多层结构。在目前的工作中,我们采用直接数值模拟,考虑到雷诺数高达(boldsymbol{R{e_tau } = 900})和足够大的域尺寸((boldsymbol{{L_x} = 12pi h}), (boldsymbol{{L_z} = 4pi h})),以忠实地捕捉非常大规模运动的影响,以测试所提出的标度定律,并最终回答这个问题:自由表面的影响延伸到什么程度?在接近自由表面的区域,速度和涡度的波动强度变得高度各向异性,我们观察到先前记录的三层结构,包括一个与通道高度(h)成尺度的壁法向速度阻尼层,以及两个分别与近地表粘性长度尺度(boldsymbol{{ell _{boldsymbol{V}}} = {boldsymbol{Re}}_{boldsymbol{b}}^{ - 1/2}h})和Kolmogorov长度尺度(boldsymbol{{ell _{boldsymbol{K}}} = {boldsymbol{Re}}_{boldsymbol{b}}^{ - 3/4}h})成尺度的子层。Calmet和Magnaudet先前提出的标度律[J]。液体。械。474,355-378(2003)]被认为是成立的,但有以下例外。在薄层中,涡度的表面平行分量的强度迅速降至零,这里发现它与Kolmogorov长度尺度(boldsymbol{{ell _{boldsymbol{K}}}})成比例,而与近表面粘性尺度(boldsymbol{{ell _{boldsymbol{V}}}})成比例。此外,我们认为Kolmogorov长度尺度是自由表面附近平均速度梯度的相关尺度。在Kolmogorov亚层(boldsymbol{{delta _{boldsymbol{K}}} approx 20{ell _{boldsymbol{K}}}})中,平均速度梯度和涡度面平行分量的波动强度均衰减为零。另一方面,在靠近自由表面的层中,壁法向湍流强度线性下降至零,用(boldsymbol{{ell _{boldsymbol{V}}}})而不是像Calmet和Magnaudet所建议的(boldsymbol{{ell _{boldsymbol{K}}}})来表示。对应的近地表粘性亚层测量值(boldsymbol{{delta _{boldsymbol{V}}} approx {ell _{boldsymbol{V}}}})。重要的是,(boldsymbol{{boldsymbol{R}}{{boldsymbol{e}}_tau } geq 400})的顺流湍流强度分布表明,自由滑移边界的影响基本上通过增强的超大尺度运动的出现一直渗透到固体壁面((boldsymbol{{delta _{{boldsymbol{SIL}}}} approx h}))。相反,表面法向湍流强度被阻尼到零的层被限制在自由表面((boldsymbol{{delta _{{boldsymbol{NVD}}}} approx 0.3h}))。因此,受表面影响区域的划分必须扩展到跨越整个通道高度(boldsymbol{h})的四层结构。
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引用次数: 0
Efficient LES Parametric Studies via ANN-Based Multi-Fidelity Modeling and Adaptive Sampling 基于神经网络的多保真度建模和自适应采样的高效LES参数研究
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-12 DOI: 10.1007/s10494-025-00669-0
Thomas Berthelon, Ali Mahdi, Guillaume Balarac

Large Eddy Simulations (LES) are increasingly used in industry due to their superior accuracy compared to traditional statistical methods like Reynolds-Averaged Navier-Stokes (RANS) simulation. However, their high computational cost remains a major obstacle to performing daily parametric studies in engineering design offices. The objective of this work is to improve the efficiency of LES-based parametric studies through multi-fidelity surrogate modeling. Taking into account the computational cost of each turbulence modeling approach, multi-fidelity technic propose to combine limited number of LES results with more numerous RANS simulations. To achieve this, we use Artificial Neural Networks (ANN), which are particularly effective at capturing complex relationships between fidelity levels and handling discontinuities. To further reduce computational cost, we propose a new adaptive sampling strategy that selects high-fidelity LES points based on an estimation of interpolation error. This approach enhances the accuracy of the multi-fidelity method by efficiently allocating computational resources where they are most needed. The proposed strategy is first validated on an analytical test case before being applied to the study of the lift coefficient as a function of the angle of attack for a NACA0012 airfoil. We demonstrate that with only five LES evaluations, our method accurately captures the main features of this function, including the stall angle. This work paves the way for more efficient LES-based parametric studies.

与传统的统计方法(如reynolds - average Navier-Stokes (RANS)模拟相比,大涡模拟(LES)具有更高的精度,因此在工业上的应用越来越多。然而,它们的高计算成本仍然是在工程设计办公室进行日常参数化研究的主要障碍。本工作的目的是通过多保真度代理建模来提高基于les的参数化研究的效率。考虑到每种湍流建模方法的计算成本,多保真度技术提出将有限数量的LES结果与更多数量的RANS模拟相结合。为了实现这一点,我们使用人工神经网络(ANN),它在捕获保真度水平和处理不连续性之间的复杂关系方面特别有效。为了进一步降低计算成本,我们提出了一种基于插值误差估计的高保真LES点自适应采样策略。该方法通过在最需要的地方有效地分配计算资源,提高了多保真度方法的准确性。在应用于NACA0012翼型升力系数作为迎角函数的研究之前,首先在分析测试案例上验证了所提出的策略。我们证明,仅通过五次LES评估,我们的方法就准确地捕获了该函数的主要特征,包括失速角。这项工作为更有效的基于les的参数化研究铺平了道路。
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引用次数: 0
On the Interrelation of the Fractal Description and the Ratio of the 3D and 2D Flame Wrinkling for Turbulent Premixed Flames 湍流预混火焰的分形描述与三维和二维火焰起皱比的关系
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-12 DOI: 10.1007/s10494-025-00670-7
Nilanjan Chakraborty, Markus Klein

A scaling relation has been derived to link the fractal dimension of a flame surface with the ratio of the normalised 3D flame surface area to its 2D counterpart. This derivation assumes an isotropic distribution of angles between the measurement plane and the flame’s normal vector, as well as a uniform distribution of angles between the principal direction and the flame’s tangent vector. The validity of the newly derived relation was assessed using an existing Direct Numerical Simulation (DNS) database of statistically planar turbulent premixed flames, encompassing a range of different Karlovitz numbers. The DNS data-based assessment revealed that the newly derived relations are reasonably accurate for the thin reaction zones regime flames, with the precision of predictions based on isotropy improving, as the Karlovitz number increases. Moreover, 2D measurements of the flame surface fractal dimension and the flame wrinkling factor can be effectively used to predict the actual 3D flame wrinkling factor for flames with Karlovitz numbers much greater than unity. Alternatively, the ratio of the 3D wrinkling factor to its 2D counterpart can provide a reasonable estimate of the 3D fractal dimension for flames in the thin reaction zones regime. The newly derived relations provide an estimation for the value of fractal dimension in the limit of high Karlovitz number using an alternative route.

导出了一种比例关系,将火焰表面的分形维数与归一化的3D火焰表面积与其2D对应物的比例联系起来。这个推导假设测量平面和火焰法向量之间的角度是各向同性分布,以及主方向和火焰切向量之间的角度是均匀分布。利用现有的平面湍流预混火焰直接数值模拟(DNS)数据库,包括一系列不同的Karlovitz数,评估了新推导关系的有效性。基于DNS数据的评估表明,新导出的关系对于薄反应区状态火焰来说是相当准确的,随着Karlovitz数的增加,基于各向同性的预测精度也在提高。此外,火焰表面分形维数和火焰起皱因子的二维测量结果可以有效地预测Karlovitz数远大于1的火焰的实际三维起皱因子。另外,三维起皱因子与二维起皱因子的比值可以为薄反应区火焰的三维分形维数提供合理的估计。新导出的关系提供了一种用替代路径估计高Karlovitz数极限处分形维数值的方法。
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引用次数: 0
A Comprehensive Thermoacoustic Framework Based on Doak’s Momentum Potential Theory – Application to Combustion Noise of the VOLVO Test Rig from LES Data 基于Doak动量势理论的综合热声框架——基于LES数据的VOLVO试验台燃烧噪声分析
IF 2.4 3区 工程技术 Q3 MECHANICS Pub Date : 2025-06-11 DOI: 10.1007/s10494-025-00662-7
Raffaele D’Aniello, Philipp Koob, Hanna Reinhardt, Christian Hasse, Karsten Knobloch

An extension to multi-species and reacting flows of Doak’s “Momentum Potential Theory of Energy Flux carried by Momentum Fluctuations” is proposed as a general and comprehensive framework for thermoacoustic characterization of combustor systems. This framework is applied here for the first time in its extended form to analyze simulation data relative to the flow in a bluff-body stabilized combustor, in stable operating conditions. The proposed thermoacoustic model is able to: (i) unambiguously separate turbulent, acoustic, thermal, and mixture fluctuations; (ii) effectively describe the interaction between turbulent, acoustic, thermal, and mixture dynamics; (iii) highlight the main characteristics of the combustion noise emitted by the systems. By means of the performed analysis, the thermal phenomena are found to dominate the dynamics interaction. All convective quantities interact in the shear layer at the flame border and feature a similar, low-frequency spectral behavior. As expected, the acoustics does not couple directly with the convective quantities, due to the considered stable conditions. Although, the acoustic spectrum is strongly characterized by three peaks, which can be attributed to secondary, high-frequency thermal fluctuations. The modes related to these peaks can be seen, therefore, as a representation of the combustion noise emitted by the flame. The new terms related to the mixture do not seem to effectively contribute to the dynamics interaction and to the acoustic production, at least for the considered configuration and operating conditions.

将Doak的“动量涨落携带能量通量的动量势理论”扩展到多物质流和反应流,作为燃烧室系统热声表征的一般和综合框架。本文首次将该框架以扩展形式应用于分析稳定工况下崖体稳定燃烧室内流动的模拟数据。所提出的热声模型能够:(i)明确地分离湍流、声学、热和混合波动;(ii)有效地描述湍流、声学、热和混合动力学之间的相互作用;(iii)突出系统发出的燃烧噪音的主要特征。通过分析,发现热现象在动力学相互作用中起主导作用。所有对流量在火焰边界的剪切层中相互作用,并具有相似的低频频谱行为。正如预期的那样,由于考虑了稳定的条件,声学并不直接与对流量耦合。尽管如此,声波频谱具有明显的三峰特征,这可归因于二次高频热波动。因此,与这些峰相关的模态可以看作是火焰发出的燃烧噪声的表示。与混合物相关的新术语似乎并没有有效地促进动力学相互作用和声学产生,至少在考虑的配置和操作条件下是这样。
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Flow, Turbulence and Combustion
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