Pub Date : 2025-06-26DOI: 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.
{"title":"Reconstruction of a Continuous Flow Field from Discrete Experimental Data Points using Physics-Informed Neural Networks","authors":"Mattias E. G. Eck, Jakob G. R. von Saldern, Philipp zur Nedden, Alessandro Orchini, Christian Oliver Paschereit","doi":"10.1007/s10494-025-00671-6","DOIUrl":"10.1007/s10494-025-00671-6","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 4","pages":"1613 - 1630"},"PeriodicalIF":2.4,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10494-025-00671-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145479607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-24DOI: 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.
{"title":"Data-Driven Turbulence Modelling for Magnetohydrodynamic Flows in Annular Pipes","authors":"Alejandro Montoya Santamaría, Tyler Buchanan, Francesco Fico, Ivan Langella, Richard P. Dwight, Nguyen Anh Khoa Doan","doi":"10.1007/s10494-025-00668-1","DOIUrl":"10.1007/s10494-025-00668-1","url":null,"abstract":"<div><p>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 <span>(k)</span>-<span>(omega)</span> 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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"567 - 602"},"PeriodicalIF":2.4,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10494-025-00668-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-24DOI: 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.
{"title":"Effect of coolant on wall heat flux in premixed turbulent combustion","authors":"Chenlin Guo, Kunlin Li, Lipo Wang","doi":"10.1007/s10494-025-00672-5","DOIUrl":"10.1007/s10494-025-00672-5","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"927 - 953"},"PeriodicalIF":2.4,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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。
{"title":"Machine-Learning-Assisted Blending of Data-Driven Turbulence Models","authors":"Mourad Oulghelou, Soufiane Cherroud, Xavier Merle, Paola Cinnella","doi":"10.1007/s10494-025-00661-8","DOIUrl":"10.1007/s10494-025-00661-8","url":null,"abstract":"<div><p>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 “<i>experts</i>”) 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 <i>intrusively</i> 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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 :","pages":"1095 - 1132"},"PeriodicalIF":2.4,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145236915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-23DOI: 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。
{"title":"Numerical Study of Turbulent Natural Convection with a Descending Free Surface Due to Evaporation","authors":"Lise Ceresiat, Miltiadis V. Papalexandris","doi":"10.1007/s10494-025-00664-5","DOIUrl":"10.1007/s10494-025-00664-5","url":null,"abstract":"<div><p>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 <span>(boldsymbol{Ra = 1.35 times {10^8}})</span> to <span>(boldsymbol{Ra{ = 10^{10}}})</span>. 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 <span>(boldsymbol{Nu})</span> and present a new <span>(boldsymbol{Nu - Ra})</span> scaling for convection in pools and cavities that covers a large range of turbulence intensities.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"469 - 494"},"PeriodicalIF":2.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-17DOI: 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.
{"title":"Numerical Study on the Effect of Shape, Stagger, Separation Distance, and Number of Obstacles on Methane-Air Flame Acceleration in Partially Confined Geometry","authors":"Ayushi Mishra, Krishnakant Agrawal, Mayank Kumar","doi":"10.1007/s10494-025-00666-3","DOIUrl":"10.1007/s10494-025-00666-3","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"887 - 916"},"PeriodicalIF":2.4,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144904967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-16DOI: 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
{"title":"How Far Does the Influence of the Free Surface Extend in Turbulent Open Channel Flow?","authors":"Christian Bauer, Yoshiyuki Sakai, Markus Uhlmann","doi":"10.1007/s10494-025-00665-4","DOIUrl":"10.1007/s10494-025-00665-4","url":null,"abstract":"<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","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"447 - 468"},"PeriodicalIF":2.4,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10494-025-00665-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-12DOI: 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。
{"title":"Efficient LES Parametric Studies via ANN-Based Multi-Fidelity Modeling and Adaptive Sampling","authors":"Thomas Berthelon, Ali Mahdi, Guillaume Balarac","doi":"10.1007/s10494-025-00669-0","DOIUrl":"10.1007/s10494-025-00669-0","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"603 - 622"},"PeriodicalIF":2.4,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-12DOI: 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.
{"title":"On the Interrelation of the Fractal Description and the Ratio of the 3D and 2D Flame Wrinkling for Turbulent Premixed Flames","authors":"Nilanjan Chakraborty, Markus Klein","doi":"10.1007/s10494-025-00670-7","DOIUrl":"10.1007/s10494-025-00670-7","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"917 - 926"},"PeriodicalIF":2.4,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10494-025-00670-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-11DOI: 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.
{"title":"A Comprehensive Thermoacoustic Framework Based on Doak’s Momentum Potential Theory – Application to Combustion Noise of the VOLVO Test Rig from LES Data","authors":"Raffaele D’Aniello, Philipp Koob, Hanna Reinhardt, Christian Hasse, Karsten Knobloch","doi":"10.1007/s10494-025-00662-7","DOIUrl":"10.1007/s10494-025-00662-7","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":559,"journal":{"name":"Flow, Turbulence and Combustion","volume":"115 2","pages":"829 - 861"},"PeriodicalIF":2.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10494-025-00662-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}