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Assessment of Roughness Characterization Methods for Data-Driven Predictions 评估用于数据驱动预测的粗糙度表征方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-05-04 DOI: 10.1007/s10494-024-00549-z
Jiasheng Yang, Alexander Stroh, Sangseung Lee, Shervin Bagheri, Bettina Frohnapfel, Pourya Forooghi

A comparative analysis is undertaken to explore the impact of various roughness characterization methods as input variables on the performance of data-driven predictive models for estimating the roughness equivalent sand-grain size (k_s). The first type of model, denoted as (text {ENN}_text {PS}), incorporates the roughness height probability density function (p.d.f.) and power spectrum (PS), while the second type of model, (text {ENN}_text {PA}), utilizes a finite set of 17 roughness statistical parameters as input variables. Furthermore, a simplified parameter-based model, denoted as (text {ENN}_text {PAM}), is considered, which features only 6 input roughness parameters. The models are trained based on identical databases and evaluated using roughness samples similar to the training databases as well as an external testing database based on literature. While the predictions based on p.d.f. and PS achieves a stable error level of around 10% among all considered testing samples, a notable deterioration in performance is observed for the parameter-based models for the external testing database, indicating a lower extrapolating capability to diverse roughness types. Finally, the sensitivity analysis on different types of roughness confirms an effective identification of distinct roughness effects by (text {ENN}_text {PAM}), which is not observed for (text {ENN}_text {PA}). We hypothesize that the successful training of (text {ENN}_text {PAM}) is attributed to the enhanced training efficiency linked to the lower input dimensionality.

我们进行了对比分析,以探讨各种粗糙度表征方法作为输入变量对用于估算粗糙度等效砂粒尺寸 (k_s) 的数据驱动预测模型性能的影响。第一类模型,即 (text {ENN}_text {PS}/),包含粗糙度高度概率密度函数(p.d.f.)和功率谱(PS),而第二类模型,即 (text {ENN}_text {PA}/),利用有限的 17 个粗糙度统计参数作为输入变量。此外,我们还考虑了一种简化的基于参数的模型,称为 (text {ENN}_text {PAM}),其特点是只有 6 个输入粗糙度参数。这些模型基于相同的数据库进行训练,并使用与训练数据库相似的粗糙度样本以及基于文献的外部测试数据库进行评估。在所有测试样本中,基于 p.d.f. 和 PS 的预测误差稳定在 10% 左右,而在外部测试数据库中,基于参数的模型性能明显下降,这表明对不同粗糙度类型的外推能力较低。最后,对不同粗糙度类型的敏感性分析证实了 (text {ENN}_text {PAM}) 能够有效识别不同的粗糙度效应,而 (text {ENN}_text {PA}) 则无法做到这一点。我们假设,(text {ENN}_text {PAM}) 的成功训练归因于与较低的输入维度相关的训练效率的提高。
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引用次数: 0
Noise Mechanisms of an Axial Turbine Stage Based on Large Eddy Simulation 基于大涡流模拟的轴流涡轮级噪声机理
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-30 DOI: 10.1007/s10494-024-00547-1
Lanyi Yan, Yigang Luan, Daniele Simoni, Tao Sun, Lianfeng Yang, Pietro Zunino, Franco Magagnato

This paper aims at identifying the noise sources in an axial turbine stage and their relative importance. The Large eddy simulation (LES) has been carried out on a geometry containing single rotor and stator passages and the mesh of the rotor domain is circumferentially sliding. The proper orthogonal decomposition (POD) is applied to data matrices constructed with the pressure fields in order to distinctly extract the coherent structures responsible for noise generation. The results show that the rotor–stator interaction contributes up to 50% of the total sound energy, the flow fluctuations are influenced by the rotor–stator interaction even in the very upstream region of the stator passage due to the massive pressure wave reflections between the stator vane row and the rotor blade row. Therefore, the tonal noise at the blade passing frequency and its second harmonic frequency are the dominant noise of the turbine stage. An aerodynamic-acoustic feedback loop is observed in the stator passage and it is mainly due to the emission, reflection and interference of the pressure waves generated by the trailing edge vortex shedding. The surface pressure levels of the rotor blade surface are lower than those of the stator vane surface, thus the rotor blades have a smaller contribution to the overall noise level of the turbine stage than the stator vanes, since there is no aerodynamic-acoustic feedback loop in the rotor passage.

本文旨在确定轴流式涡轮级中的噪声源及其相对重要性。大涡流模拟(LES)是在包含单转子和定子通道的几何体上进行的,转子域的网格是圆周滑动的。适当的正交分解(POD)被应用于用压力场构建的数据矩阵,以明确提取产生噪声的相干结构。结果表明,转子-定子相互作用产生的声能占总声能的 50%,由于定子叶片排和转子叶片排之间存在大量压力波反射,即使在定子通道的上游区域,流动波动也会受到转子-定子相互作用的影响。因此,叶片通过频率及其二次谐波频率的音调噪声是涡轮级的主要噪声。在定子通道中可以观察到空气动力-声反馈回路,这主要是由于后缘涡流脱落产生的压力波的发射、反射和干扰造成的。转子叶片表面的压力水平低于定子叶片表面的压力水平,因此转子叶片对涡轮级整体噪声水平的贡献小于定子叶片,因为转子通道中不存在空气动力-声反馈回路。
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引用次数: 0
Flow Topology of the Bi-Stable Wake States for the DrivAer Fastback Model DrivAer Fastback 模型双稳定唤醒状态的流动拓扑图
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-23 DOI: 10.1007/s10494-024-00546-2
Matthew Aultman, Lian Duan

For this work, conditional averaging and Proper Orthogonal Decomposition (POD) were used to analyze the salient three-dimensional structures in the wake of a DrivAer fastback model with smooth underbody. Conditional averaging revealed that the bi-stable structure of the wake consists of a ring-like structure with three vortex legs, which includes a vortex pair on the side associated with the bi-stability and one on the opposite side associated with the wheel vortex. POD revealed the entrainment of low-momentum fluid from the wheel wake into the vortex pair leads to an induced spanwise crossflow which drives a feedback loop for the bi-stability. The resultant bi-stable structure was dependent on the state of the wheels. With stationary wheels, the feedback mechanism is enhanced, leading to higher spanwise crossflow that breaks the ring-like vortex. A different structure was observed when the wheels rotate, wherein the ring-like structure is unbroken and pierced by the vortex pair. The feedback mechanism and resultant vortex structure are similar to those found in simplified square-back models. Given the similarity in bi-stability between realistic and simplified vehicles, the suppression of the bi-stability in realistic vehicles could initially be based on the same mechanism as that for simplified square-back models.

本研究采用条件平均法和适当正交分解法(POD)分析了具有光滑底部的 DrivAer Fastback 模型尾流中的显著三维结构。条件平均法显示,尾流的双稳态结构由带有三个涡腿的环状结构组成,其中包括与双稳态相关的一侧的一对涡,以及与车轮涡相关的另一侧的一对涡。POD 显示,车轮尾流中的低动量流体夹带进入涡旋对,导致诱导跨向横流,从而推动双稳态的反馈回路。由此产生的双稳态结构取决于车轮的状态。当车轮静止时,反馈机制得到加强,导致更高的跨向横流,从而打破环状涡流。当车轮旋转时,观察到不同的结构,其中环状结构未被打破,并被涡对穿透。反馈机制和由此产生的涡旋结构与简化的方背模型相似。鉴于现实车辆与简化车辆在双稳态方面的相似性,现实车辆的双稳态抑制最初可能基于与简化方背模型相同的机制。
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引用次数: 0
On the Continuous Adjoint of Prominent Explicit Local Eddy Viscosity-based Large Eddy Simulation Approaches for Incompressible Flows 论基于大涡粘度的不可压缩流动的显式局部大涡模拟方法的连续临界点
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-16 DOI: 10.1007/s10494-024-00543-5
Niklas Kühl

The manuscript deals with continuous adjoint companions of prominent explicit Large Eddy Simulation (LES) methods grounding on the eddy viscosity assumption for incompressible fluids. The subgrid-scale approximations considered herein address the classic Smagorinsky-Lilly, the Wall-Adapting Local Eddy-Viscosity (WALE), and the Kinetic Energy Subgrid-Scale (KESS) model, whereby only static implementations, i.e., those without dynamically adjusted model parameters, are considered. The associated continuous adjoint systems and resulting shape sensitivity expressions are derived. Information on the consistent discrete implementation is provided that benefits from the self-adjoint primal discretization of convective and diffusive fluxes via unbiased, symmetric approximations, frequently performed in explicit LES studies to minimize numerical diffusion. Algebraic primal subgrid-scale models yield algebraic adjoint LES relationships that resemble additional adjoint momentum sources. The KESS one equation model introduces an additional adjoint equation, which enlarges the resulting continuous adjoint KESS system with potentially increased numerical stiffness. The different adjoint LES methods are tested and compared against each other on a flow around a circular cylinder at (text{Re}_text{D} = {140000,}) for a boundary (drag) and volume (deviation from target velocity distribution) based cost functional. Since all primal implementations predict similar flow fields, it is possible to swap the associated adjoint systems –i.e., applying an adjoint WALE method to a primal KESS result– and still obtain plausible adjoint results. Due to the LES’s inherent unsteady character, the adjoint solver requires the entire primal flow field over the cost-functional relevant time horizon. Even for the academic cases studied herein, the storage capacities are in the order of terabytes and refer to a practical bottleneck. However, in the case of suitable, time-averaged cost functional, the time-averaged primal flow field can be used directly in a steady adjoint solver, which results in a drastic effort reduction.

手稿讨论了以不可压缩流体的涡流粘度假设为基础的著名显式大涡流模拟(LES)方法的连续邻接伴生方法。本文考虑的子网格尺度近似方法包括经典的 Smagorinsky-Lilly、Wall-Adapting Local Eddy-Viscosity (WALE) 和动能子网格尺度 (KESS) 模型,其中只考虑了静态实现方法,即没有动态调整模型参数的方法。推导出了相关的连续邻接系统和由此产生的形状灵敏度表达式。提供的一致离散实施信息得益于通过无偏对称近似对对流和扩散通量进行的自相关基元离散化,这种离散化经常在显式 LES 研究中进行,以最大限度地减少数值扩散。代数基元子网格尺度模型产生的代数邻接 LES 关系类似于额外的邻接动量源。KESS 单方程模型引入了一个额外的邻接方程,扩大了由此产生的连续邻接 KESS 系统,可能会增加数值刚度。对基于边界(阻力)和体积(与目标速度分布的偏差)成本函数的 (text{Re}_text{D} = {140000,})环绕圆柱体的流动进行了测试和比较。由于所有基元实现都预测类似的流场,因此可以交换相关的辅助系统,即对基元 KESS 结果应用辅助 WALE 方法,仍然可以获得可信的辅助结果。由于 LES 本身具有非稳态特性,因此辅助求解器需要成本功能相关时间范围内的整个原始流场。即使在本文研究的学术案例中,存储容量也达到了 TB 级,这是一个实际瓶颈。不过,在成本函数合适、时间平均的情况下,时间平均的原始流场可直接用于稳定的邻接求解器,从而大幅减少工作量。
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引用次数: 0
Publisher Correction to: Experimentally Closing the Balance of Progress of Reaction in Premixed Turbulent Combustion in the Thin Flame Regime 出版者对《薄火焰状态下预混合湍流燃烧中反应进展平衡的实验关闭》的更正薄火焰区预混合湍流燃烧中反应进展平衡的实验关闭
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-15 DOI: 10.1007/s10494-024-00545-3
Yutao Zheng, Lee Weller, Simone Hochgreb
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引用次数: 0
A Method to Simulate an Outwardly Propagating Turbulent Premixed Flame at Constant Pressure 模拟恒压下向外传播的湍流预混合火焰的方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-13 DOI: 10.1007/s10494-024-00544-4
Seung Hyun Kim

An outwardly propagating premixed flame in homogeneous isotropic turbulence at constant pressure is considered one of canonical configurations to study turbulent premixed flames. In this paper, a surface forcing method to prevent the undesirable influence of the boundary-condition-induced backflow on the flame evolution, while maintaining the constant pressure, in the simulation of the outwardly propagating flame is presented. The method is validated for laminar and turbulent flames. The results show that the present method well preserves the characteristics of turbulence and of an outwardly propagating flame, without the undesirable influence of the boundary condition, by feeding the homogeneous turbulence relative to the velocity field induced by the volume expansion due to heat release to the domain in which the flame develops.

在恒定压力下的均质各向同性湍流中向外传播的预混火焰被认为是研究湍流预混火焰的典型构型之一。本文提出了一种表面强制方法,用于在模拟向外传播火焰时防止边界条件引起的逆流对火焰演化的不良影响,同时保持压力恒定。该方法对层流火焰和湍流火焰进行了验证。结果表明,本方法通过将热量释放导致的体积膨胀引起的速度场相对于均匀湍流馈入火焰发展的域中,很好地保留了湍流和向外传播火焰的特征,而不会受到边界条件的不良影响。
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引用次数: 0
Assessment of Laws of the Wall During Flame–Wall Interaction of Premixed Flames Within Turbulent Boundary Layers 湍流边界层内预混合火焰与壁面相互作用过程中的壁面法则评估
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-12 DOI: 10.1007/s10494-024-00541-7
Umair Ahmed, Sanjeev Kr. Ghai, Nilanjan Chakraborty

The validity of the usual laws of the wall for Favre mean values of the streamwise velocity component and temperature for non-reacting flows has been assessed for turbulent premixed flame-wall interaction using Direct Numerical Simulation (DNS) data. Two different DNS databases corresponding to friction velocity-based Reynolds number of 110 and 180 representing unsteady head-on quenching of statistically planar flames within turbulent boundary layers have been considered. The usual log-law based expressions for the Favre mean values of the streamwise velocity and temperature for the inertial layer have been found to be inadequate at capturing the corresponding variations obtained from DNS data. The underlying assumptions of constant shear stress and the equilibrium of production and dissipation of turbulent kinetic energy underpinning the derivation of the usual log-law for the mean streamwise velocity have been found to be rendered invalid within the usual inertial layer during flame-wall interaction for both cases considered here. The heat flux does not remain constant within the usual inertial layer, and the turbulent flux of temperature exhibits counter-gradient transport within the so-called inertial layer for the cases considered in this work. These render the assumptions behind the derivation of the usual log-law for temperature to be invalid for application to turbulent flame-wall interaction. It has been found that previously proposed empirical modifications to the existing laws of the wall, which account for density and kinematic viscosity variations with temperature, do not significantly improve the agreement with the corresponding DNS data in the inertial layer and the inaccurate approximations for the kinematic viscosity compensated wall normal distance and the density compensated streamwise velocity component contribute to this disagreement. The DNS data has been utilised here to propose new expressions for the kinematic viscosity compensated wall normal distance and the density compensated streamwise velocity component, which upon using in the empirically modified law of wall expressions have been demonstrated to provide reasonable agreement with DNS data.

利用直接数值模拟(DNS)数据评估了非反应流的流向速度分量和温度的法夫尔平均值的通常壁面定律对湍流预混火焰-壁面相互作用的有效性。两种不同的 DNS 数据库分别对应于基于摩擦速度的雷诺数 110 和 180,代表了湍流边界层内统计平面火焰的非稳态迎面淬火。研究发现,惯性层流向速度和温度的法弗尔平均值的常用对数法表达式不足以捕捉 DNS 数据中的相应变化。在这里考虑的两种情况下,在焰壁相互作用过程中,惯性层内的恒定剪应力和湍流动能的产生与耗散平衡的基本假设被认为是无效的。在通常的惯性层内,热通量并不是保持不变的,而且在本研究中考虑的情况下,温度的湍流通量在所谓的惯性层内呈现反梯度传输。这使得推导通常温度对数定律的假设在应用于湍流焰壁相互作用时失效。研究发现,之前提出的对现有焰壁定律的经验性修改(考虑到密度和运动粘度随温度的变化)并不能显著改善与惯性层中相应 DNS 数据的一致性,而对运动粘度补偿焰壁法向距离和密度补偿流向速度分量的不精确近似也导致了这种分歧。本文利用 DNS 数据提出了运动粘度补偿壁面法向距离和密度补偿流向速度分量的新表达式,并将其用于根据经验修改的壁面定律表达式,结果表明这些表达式与 DNS 数据具有合理的一致性。
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引用次数: 0
A Method to Dampen Acoustic Waves in Compressible Reactive Flow Simulations 在可压缩反应流模拟中抑制声波的方法
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-11 DOI: 10.1007/s10494-024-00542-6
Jonas Eigemann, Christian Beck, Andreas Kempf

A novel technique is presented to improve the initialization of compressible combustion LES, DNS or URANS by numerically turning the flame into a damper to quickly remove (artificial) pressure fluctuations and acoustic energy from the system. This is achieved by modifying the pressure dependency of the heat release rate, effectively modifying the Rayleigh Integral to achieve negative values, so that the acoustic energy is quickly removed from the system. The technique can (a) reduce the cost of simulations (by shortening the initialization), (b) contribute to stabilize the simulation, (c) help to avoid unrealistic thermoacoustic modes and, (d) potentially, be modified to compensate for excessive numerical dissipation of acoustic energy. Examples from LES of a thermoacoustic test case are presented to demonstrate the effective stabilization achieved.

本文介绍了一种改进可压缩燃烧 LES、DNS 或 URANS 初始化的新技术,即通过数值方法将火焰转化为阻尼器,以快速消除系统中的(人为)压力波动和声能。这是通过修改热释放率的压力依赖性来实现的,有效地修改了瑞利积分,使其达到负值,从而快速从系统中消除声能。该技术可(a)降低模拟成本(通过缩短初始化时间),(b)有助于稳定模拟,(c)有助于避免不切实际的热声模式,以及(d)有可能被修改以补偿过多的声能数值耗散。本文以一个热声测试案例的 LES 为例,展示了所取得的有效稳定效果。
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引用次数: 0
Numerical Study of Ignition and Combustion of Hydrogen-Enriched Methane in a Sequential Combustor 富氢甲烷在顺序燃烧器中的点火和燃烧数值研究
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-04-05 DOI: 10.1007/s10494-024-00540-8
Matteo Impagnatiello, Quentin Malé, Nicolas Noiray

Ignition and combustion behavior in the second stage of a sequential combustor are investigated numerically at atmospheric pressure for pure ({text{CH}}_{4}) fueling and for two ({text{CH}}_{4})-({text{H}}_{2}) fuel blends in 24:1 and 49:1 mass ratios , respectively, using Large Eddy Simulation (LES). Pure ({text{CH}}_{4}) fueling results in a turbulent propagating flame anchored by the hot gas recirculation zones developed near the inlet of the sequential combustion chamber. As the ({text{H}}_{2}) content increases, the combustion process changes drastically, with multiple auto-ignition kernels produced upstream of the main flame brush. Analysis of the explosive modes indicates that, for the highest ({text{H}}_{2}) amount investigated, flame stabilization in the combustion chamber is strongly supported by auto-ignition chemistry. The analysis of fuel decomposition pathways highlights that radicals advected from the first stage flame, in particular OH, induce a rapid fuel decomposition and cause the reactivity enhancement that leads to auto-ignition upstream of the sequential flame. This behavior is promoted by the relatively large mass fraction of OH radicals found in the flow reaching the second stage, which is approximately one order of magnitude greater than it would be at chemical equilibrium. The importance of the out-of-equilibrium vitiated air on the ignition behavior is proven via an additional LES that features weak auto-ignition kernel formation when equilibrium is artificially imposed. It is therefore concluded that parameters affecting the relaxation towards chemical equilibrium of the vitiated flow can have an important influence on the operability of sequential combustors fueled with varying fractions of ({text{H}}_{2}) blending.

利用大涡模拟(LES)技术,在大气压力下对纯({text{CH}}_{4})燃料和两种质量比分别为24:1和49:1的({text{CH}}_{4})-({text{H}}_{2})燃料混合物的点火和燃烧行为进行了数值研究。纯({text{CH}}_{4})燃料会导致火焰湍流传播,并在顺序燃烧室入口附近形成热气再循环区。随着({text{H}}_{2}/)含量的增加,燃烧过程发生了急剧变化,在主火焰刷上游产生了多个自燃核。对爆炸模式的分析表明,在所研究的最高({text{H}}_{2}/)含量下,燃烧室中的火焰稳定得到了自燃化学的有力支持。对燃料分解途径的分析突出表明,从第一级火焰中移入的自由基,特别是羟基,会引起燃料的快速分解,并导致反应性增强,从而导致顺序火焰上游的自燃。在到达第二级火焰的气流中,OH 自由基的质量分数相对较大,大约比化学平衡时的质量分数大一个数量级,从而促进了这种行为的发生。失衡的虚化空气对点火行为的重要性通过额外的 LES 得到了证明,该 LES 的特点是在人为施加平衡时会形成微弱的自燃核。因此可以得出结论,影响虚化气流向化学平衡弛豫的参数会对以不同比例的 ({text{H}}_{2}) 混合燃料为燃料的顺序燃烧器的可操作性产生重要影响。
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引用次数: 0
Exploring the Potential and the Practical Usability of a Machine Learning Approach for Improving Wall Friction Predictions of RANS Wall Functions in Non-equilibrium Turbulent Flows 探索改进非平衡湍流中 RANS 壁函数的壁面摩擦预测的机器学习方法的潜力和实际可用性
IF 2 3区 工程技术 Q3 MECHANICS Pub Date : 2024-03-28 DOI: 10.1007/s10494-024-00539-1
Erwan Rondeaux, Adèle Poubeau, Christian Angelberger, Miguel Munoz Zuniga, Damien Aubagnac-Karkar, Roberto Paoli

A data-driven wall function estimation approach is proposed, aimed at accounting for non-equilibrium effects in turbulent boundary layers in RANS simulations of wall bounded flows. While keeping key simplifying hypothesis of standard wall functions and their general structure, the law-of-the-wall is replaced by a fully connected feed-forward neural network. The latter is trained to infer wall friction from the local flow state at the first of-wall nodes, described by an extended set of flow variables and gradients. For this purpose, the neural network is trained on high-fidelity wall resolved simulation data. It is then applied to formulate two different wall functions trained on high-fidelity data: a backward-facing step and a round jet impacting a flat wall. After integration into an industrial CFD code, they are applied to perform RANS simulations of the flow configurations they were trained for, and are shown to yield a largely improved prediction of wall friction as compared to standard wall functions. Finally, key issues related to the practical usability in RANS applications of the proposed data-driven approach are critically discussed.

本文提出了一种数据驱动的壁面函数估算方法,旨在考虑壁面约束流 RANS 模拟中湍流边界层的非平衡效应。在保留标准壁面函数及其一般结构的关键简化假设的同时,用一个全连接的前馈神经网络取代了壁面定律。通过对神经网络进行训练,可以根据扩展的流动变量和梯度集描述的壁面第一节点处的局部流动状态推断壁面摩擦力。为此,神经网络在高保真壁面解析模拟数据上进行了训练。然后,将其应用于在高保真数据上训练的两种不同的壁面功能:后向阶梯和圆形射流撞击平壁。在集成到工业 CFD 代码中后,将它们应用于对其所训练的流动配置进行 RANS 模拟,结果表明,与标准壁面函数相比,壁面摩擦的预测得到了很大改善。最后,对与数据驱动方法在 RANS 应用中的实际可用性有关的关键问题进行了批判性讨论。
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引用次数: 0
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