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Computational Fluid Dynamics Prediction of External Thermal Loads on Film-Cooled Gas Turbine Vanes: A Validation of Reynolds-Averaged Navier–Stokes Transition Models and Scale-Resolving Simulations for the VKI LS-94 Test Case 薄膜冷却燃气轮机叶片外部热负荷的计算流体动力学预测:针对 VKI LS-94 试验案例的雷诺平均纳维-斯托克斯转换模型和尺度解析模拟验证
IF 1.9 Q2 Engineering Pub Date : 2024-04-15 DOI: 10.3390/fluids9040091
Simone Sandrin, Lorenzo Mazzei, Riccardo Da Soghe, Fabrizio Fontaneto
Given the increasing role of computational fluid dynamics (CFD) simulations in the aerothermal design of gas turbine vanes and blades, their rigorous validation is becoming more and more important. This article exploits an experimental database obtained by the von Karman Institute (VKI) for Fluid Dynamics for the LS-94 test case. This represents a film-cooled transonic turbine vane, investigated in a five-vane linear cascade configuration under engine-like conditions in terms of the Reynolds number and Mach number. The experimental characterization included inlet freestream turbulence measured with hot-wire anemometry, aerodynamic performance assessed with a three-hole pressure probe in the downstream section, and vane convective heat transfer coefficient distribution determined with thin-film thermometers. The test matrix included cases without any film-cooling injection, pressure-side injection, and suction-side injection. The CFD simulations were carried out in Ansys Fluent, considering the impact of mesh sizing and steady-state Reynolds-Averaged Navier-Stokes (RANS) transition modelling, as well as more accurate transient scale-resolving simulations. This work provides insight into the advantages and drawbacks of such approaches for gas turbine hot-gas path designers.
鉴于计算流体动力学(CFD)模拟在燃气轮机叶片和叶片的气动热设计中发挥着越来越重要的作用,对其进行严格验证变得越来越重要。本文利用了冯-卡门流体动力学研究所(VKI)获得的 LS-94 试验案例实验数据库。它代表了一种薄膜冷却的跨音速涡轮叶片,在雷诺数和马赫数方面与发动机类似的条件下,以五叶片线性级联配置进行了研究。实验特征包括用热线风速计测量的入口自由流湍流、用下游部分的三孔压力探头评估的空气动力性能,以及用薄膜温度计测定的叶片对流传热系数分布。测试矩阵包括无膜冷却喷射、压力侧喷射和吸入侧喷射的情况。CFD 模拟在 Ansys Fluent 中进行,考虑了网格大小和稳态雷诺平均纳维-斯托克斯(RANS)转换模型的影响,以及更精确的瞬态尺度分辨率模拟。这项工作让燃气轮机热气路径设计人员深入了解了这些方法的优缺点。
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引用次数: 0
A Compressible Formulation of the One-Fluid Model for Two-Phase Flows 两相流单流体模型的可压缩公式
IF 1.9 Q2 Engineering Pub Date : 2024-04-12 DOI: 10.3390/fluids9040090
Simon El Ouafa, Stephane Vincent, V. Le Chenadec, Benoît Trouette, Syphax Ferreka, Amine Chadil
In this paper, we introduce a compressible formulation for dealing with 2D/3D compressible interfacial flows. It integrates a monolithic solver to achieve robust velocity–pressure coupling, ensuring precision and stability across diverse fluid flow conditions, including incompressible and compressible single-phase and two-phase flows. Validation of the model is conducted through various test scenarios, including Sod’s shock tube problem, isothermal viscous two-phase flows without capillary effects, and the impact of drops on viscous liquid films. The results highlight the ability of the scheme to handle compressible flow situations with capillary effects, which are important in computational fluid dynamics (CFD).
本文介绍了一种处理二维/三维可压缩界面流的可压缩公式。它集成了一个整体求解器,实现了稳健的速度-压力耦合,确保了不同流体流动条件下的精度和稳定性,包括不可压缩和可压缩单相流和两相流。通过各种测试场景对模型进行了验证,包括索德冲击管问题、无毛细管效应的等温粘性两相流以及液滴对粘性液膜的影响。结果凸显了该方案处理具有毛细管效应的可压缩流动情况的能力,这在计算流体动力学(CFD)中非常重要。
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引用次数: 0
Numerical Analysis of Convective Heat Transfer in Quenching Treatments of Boron Steel under Different Configurations of Immersed Water Jets and Its Effects on Microstructure 不同配置的浸入式水射流下硼钢淬火处理中的对流传热及其对微观结构影响的数值分析
IF 1.9 Q2 Engineering Pub Date : 2024-04-11 DOI: 10.3390/fluids9040089
Raúl Alberto Tinajero-Álvarez, C. A. Hernández-Bocanegra, J. A. Ramos-Banderas, N. M. López-Granados, Brandon Farrera-Buenrostro, Enrique Torres-Alonso, G. Solorio‐Diaz
In this work, the effects of jet impact angle and water flow on the heat-transfer coefficient in boron steel probes were analyzed. Angles of 90°, 75° and 60° were used with stirring flows of 33 l·min−1, 25 l·min−1, 13 l·min−1 and 6 l·min−1. The aim consisted of determining the heat-extraction rates by analyzing the correlation programmed in the Ansys Fluent 2020R2 software when different cooling conditions are used, avoiding many experiments, and establishing quenching conditions free of surface defects on the workpiece. This process is currently used in heavy machinery, requiring high hardness and wear resistance. The fluid-dynamic field was validated using a scale physical model using the particle image velocimetry technique, PIV. In contrast, the thermal field was validated with transient state experiments solving the inverse heat conduction problem, IHCP. The results show that for high flows (33 l·min−1), the jets with an angle of 90° impact the entire surface of the piece, but their cooling rate is slower compared to the other angles, being 243.61 K·s−1, and 271.70 K·s−1, 329.56 K·s−1 for 75° and 60°, respectively. However, for low flows (6 l·min−1), the impact velocities are very similar for the three cases, promoting more homogeneous cooling rates of 58.47 K·s−1, 73.58 K·s−1 and 63.98 K s−1 for angles of 90°, 75° and 60°, respectively. Likewise, through the use of CCT diagrams, it was determined that regardless of the cooling rate, the final structure will always be a mixture of martensite–bainite due to the effect of boron as determined experimentally, which implies a more significant proportion of martensite at higher cooling rates.
本研究分析了射流冲击角度和水流对硼钢探针传热系数的影响。采用的角度分别为 90°、75° 和 60°,搅拌流量分别为 33 升/分钟-1、25 升/分钟-1、13 升/分钟-1 和 6 升/分钟-1。目的是通过分析 Ansys Fluent 2020R2 软件中的相关程序,确定在不同冷却条件下的热萃取率,避免多次实验,并确定工件无表面缺陷的淬火条件。这种工艺目前用于要求高硬度和耐磨性的重型机械。流体动力场是通过使用粒子图像测速技术(PIV)的比例物理模型进行验证的。与此相反,热场则是通过瞬态实验求解逆热传导问题(IHCP)来验证的。结果表明,在高流量(33 l-min-1)条件下,90°角的射流冲击整个工件表面,但冷却速度比其他角度慢,分别为 243.61 K-s-1、271.70 K-s-1、329.56 K-s-1(75°和 60°)。然而,在低流量(6 l-min-1)情况下,三种情况下的冲击速度非常相似,促进了更均匀的冷却速度,90°、75° 和 60° 角的冷却速度分别为 58.47 K-s-1、73.58 K-s-1 和 63.98 K-s-1。同样,通过使用 CCT 图可以确定,无论冷却速率如何,最终结构始终是马氏体-贝氏体的混合物,这是因为实验确定了硼的影响,这意味着在较高的冷却速率下,马氏体的比例更大。
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引用次数: 0
Deep Reinforcement Learning-Augmented Spalart–Allmaras Turbulence Model: Application to a Turbulent Round Jet Flow 深度强化学习增强的 Spalart-Allmaras 湍流模型:湍流圆形射流的应用
IF 1.9 Q2 Engineering Pub Date : 2024-04-09 DOI: 10.3390/fluids9040088
Lukas M. Fuchs, Jakob G. R. von Saldern, T. Kaiser, K. Oberleithner
The purpose of this work is to explore the potential of deep reinforcement learning (DRL) as a black-box optimizer for turbulence model identification. For this, we consider a Reynolds-averaged Navier–Stokes (RANS) closure model of a round turbulent jet flow at a Reynolds number of 10,000. For this purpose, we augment the widely utilized Spalart–Allmaras turbulence model by introducing a source term that is identified by DRL. The algorithm is trained to maximize the alignment of the augmented RANS model velocity fields and time-averaged large eddy simulation (LES) reference data. It is shown that the alignment between the reference data and the results of the RANS simulation is improved by 48% using the Spalart–Allmaras model augmented with DRL compared to the standard model. The velocity field, jet spreading rate, and axial velocity decay exhibit substantially improved agreement with both the LES reference and literature data. In addition, we applied the trained model to a jet flow with a Reynolds number of 15,000, which improved the mean field alignment by 35%, demonstrating that the framework is applicable to unseen data of the same configuration at a higher Reynolds number. Overall, this work demonstrates that DRL is a promising method for RANS closure model identification. Hurdles and challenges associated with the presented methodology, such as high numerical cost, numerical stability, and sensitivity of hyperparameters are discussed in the study.
本研究旨在探索深度强化学习(DRL)作为湍流模型识别黑盒优化器的潜力。为此,我们考虑了雷诺数为 10,000 的圆形湍流喷射流的雷诺平均纳维-斯托克斯(RANS)闭合模型。为此,我们在广泛使用的 Spalart-Allmaras 湍流模型中引入了一个源项,该源项由 DRL 识别。对算法进行了训练,以最大限度地提高增强 RANS 模型速度场与时间平均大涡模拟(LES)参考数据的一致性。结果表明,使用 DRL 增强的 Spalart-Allmaras 模型与标准模型相比,参考数据与 RANS 模拟结果之间的一致性提高了 48%。速度场、射流扩散率和轴向速度衰减与 LES 参考数据和文献数据的一致性都有大幅提高。此外,我们还将训练有素的模型应用于雷诺数为 15,000 的喷射流,其平均场对齐度提高了 35%,这表明该框架适用于雷诺数更高的相同构造的未见数据。总之,这项工作证明 DRL 是一种很有前途的 RANS 闭合模型识别方法。研究还讨论了与所提出的方法相关的障碍和挑战,如高数值成本、数值稳定性和超参数的敏感性。
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引用次数: 0
Discrete and Continuous Adjoint-Based Aerostructural Wing Shape Optimization of a Business Jet 基于离散和连续相接法的公务喷气机机翼形状优化
IF 1.9 Q2 Engineering Pub Date : 2024-04-05 DOI: 10.3390/fluids9040087
K. Tsiakas, X. Trompoukis, V. Asouti, K. Giannakoglou, G. Rogé, Sarah Julisson, Ludovic Martin, S. Kleinveld
This article presents single- and multi-disciplinary shape optimizations of a generic business jet wing at two transonic cruise flow conditions. The studies performed are based on two high-fidelity gradient-based optimization tools, assisted by the adjoint method (following both discrete and continuous approaches). Single discipline and coupled multi-disciplinary sensitivity derivatives computed from the two tools are compared and verified against finite differences. The importance of not making the frozen turbulence assumption in adjoint-based optimization is demonstrated. Then, a number of optimization runs, ranging from a pure aerodynamic with a rigid structure to an aerostructural one exploring the trade-offs between the involved disciplines, are presented and discussed. The middle-ground scenario of optimizing the wing with aerodynamic criteria and, then, performing an aerostructural trimming is also investigated.
本文介绍了在两种跨音速巡航流动条件下对通用公务喷气机机翼进行的单学科和多学科形状优化。所进行的研究基于两个基于梯度的高保真优化工具,并采用了辅助方法(同时采用离散和连续方法)。通过这两种工具计算出的单学科和多学科耦合灵敏度导数与有限差分进行了比较和验证。证明了在基于邻接法的优化中不做冻结湍流假设的重要性。然后,介绍并讨论了一系列优化运行,从具有刚性结构的纯空气动力学运行到探索相关学科之间权衡的空气结构运行。此外,还研究了以空气动力学标准优化机翼,然后进行气动结构修剪的中间方案。
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引用次数: 0
Study of the Geometry of an Oscillating Water Column Device with Five Chambers Coupled under Regular Waves through the Constructal Design Method 通过构造设计法研究规则波浪条件下五室耦合振荡水柱装置的几何形状
IF 1.9 Q2 Engineering Pub Date : 2024-04-05 DOI: 10.3390/fluids9040086
Yuri Theodoro Barbosa de Lima, Liércio André Isoldi, E. D. dos Santos, B. N. Machado, M. N. Gomes, C. Biserni, Luiz Alberto Oliveira Rocha
This research conducts a numerical study of a wave energy converter (WEC) device with five coupled hydropneumatic chambers, operating based on the principle of an oscillating water column (OWC). A turbine was not included, only considering the tube without it. The computational domain was defined by a wave channel housing an OWC device subjected to regular incident waves. The central objective was to assess the impact of chamber geometry on maximizing the total hydropneumatic power in energy conversion. The numerical simulations consider the pressure, mass flow rate, and total hydropneumatic power, with the latter being the performance indicator. To determine the geometries to be analyzed, the Constructal Design method was employed in conjunction with the exhaustive search optimization method to maximize the performance indicator. The degrees of freedom defined were the ratios between the height (Hn) and the length (Ln) of the hydropneumatic chambers (Hn/Ln, where n varies from one to five). Based on the results of the mass flow rate and pressure, their influence on power was evaluated. It was observed that the influence of the degrees of freedom on the pressure difference, mass flow rate, and hydrodynamic power was quite similar, displaying an increase for low ratios of Hn/Ln up to a maximum magnitude and followed by a decrease in magnitude. The best performance was achieved for the geometric configuration with Hn/Ln = 0.2613 (Hn = 5.0625 m and Ln = 15.8219 m), representing an improvement of 98.6% compared to the worst case analyzed.
本研究对带有五个耦合水气腔的波浪能转换器(WEC)装置进行了数值研究,该装置根据振荡水柱(OWC)原理运行。不包括涡轮机,只考虑没有涡轮机的管子。计算域由容纳 OWC 设备的波道定义,该波道受到规则入射波的影响。核心目标是评估腔体几何形状对能量转换中最大化总水气动力的影响。数值模拟考虑了压力、质量流量和总水气动力,后者是性能指标。为了确定要分析的几何形状,采用了构造设计法与穷举搜索优化法相结合的方法,以最大限度地提高性能指标。确定的自由度是水气动室的高度(Hn)和长度(Ln)之间的比率(Hn/Ln,其中 n 从 1 到 5 不等)。根据质量流量和压力的结果,评估了它们对功率的影响。结果表明,自由度对压差、质量流量和流体动力的影响非常相似,Hn/Ln 比率越低,影响越大,直至达到最大值,随后影响逐渐减小。Hn/Ln = 0.2613(Hn = 5.0625 米,Ln = 15.8219 米)的几何配置性能最佳,与分析的最差情况相比,提高了 98.6%。
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引用次数: 0
Computational Analysis of Blood Flow in Healthy Pulmonary Arteries in Comparison to Repaired Tetralogy of Fallot Results: A Small Cohort Study 健康肺动脉血流的计算分析与法洛氏四联症修复结果的比较:小型队列研究
IF 1.9 Q2 Engineering Pub Date : 2024-04-01 DOI: 10.3390/fluids9040085
M. Boumpouli, S. Black, A. Kazakidi
Characterization of the physiological hemodynamic environment in normal pulmonary arteries is a key factor in understanding pathological conditions. This study aimed to analyze the morphology and hemodynamics in the healthy adult pulmonary bifurcation in comparison to age-matched repaired Tetralogy of Fallot (rTOF) geometries. The pulmonary trunk of five healthy volunteers was reconstructed from 4D Flow-MRI data and was compared to rTOF results. Subject-specific boundary conditions were assigned in both the inlet and outlets of the models, and flow characteristics were analyzed computationally. The morphological and flow features were consistent among the healthy geometries, highlighting the ability of an averaged geometry derived from this small cohort to capture the main flow characteristics. A slightly higher mean time-averaged wall shear stress (TAWSS) was found in the right pulmonary artery, which was also the branch with a higher mean curvature and local Reynolds number. Compared to rTOF results, the averaged healthy geometry demonstrated more than an 8-fold lower value in TAWSS, with the individual patient-specific healthy volunteers showing further reduced TAWSS than the rTOF patients. These observations could be useful in clinical assessment and decision making based on hemodynamic indices.
描述正常肺动脉的生理血流动力学环境是了解病理情况的关键因素。本研究旨在分析健康成人肺动脉分叉的形态和血流动力学,并与年龄匹配的法洛氏四联症(rTOF)修复几何图形进行比较。根据 4D Flow-MRI 数据重建了五名健康志愿者的肺动脉干,并与 rTOF 结果进行了比较。在模型的入口和出口处分配了特定受试者的边界条件,并对流动特征进行了计算分析。健康几何图形的形态和流动特征是一致的,这突出表明从这个小规模人群中得出的平均几何图形能够捕捉到主要的流动特征。右肺动脉的平均时间平均壁剪应力(TAWSS)略高,这也是平均曲率和局部雷诺数较高的分支。与 rTOF 结果相比,平均健康几何图形的 TAWSS 值降低了 8 倍多,与 rTOF 患者相比,特定患者的健康志愿者的 TAWSS 值进一步降低。这些观察结果有助于根据血液动力学指数进行临床评估和决策。
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引用次数: 0
Turbulent Flow Prediction-Simulation: Strained Flow with Initial Isotropic Condition Using a GRU Model Trained by an Experimental Lagrangian Framework, with Emphasis on Hyperparameter Optimization 湍流预测与模拟:使用由实验拉格朗日框架训练的 GRU 模型模拟初始各向同性条件下的应变流,重点是超参数优化
IF 1.9 Q2 Engineering Pub Date : 2024-04-01 DOI: 10.3390/fluids9040084
R. Hassanian, Marcel Aach, A. Lintermann, Á. Helgadóttir, M. Riedel
This study presents a novel approach to using a gated recurrent unit (GRU) model, a deep neural network, to predict turbulent flows in a Lagrangian framework. The emerging velocity field is predicted based on experimental data from a strained turbulent flow, which was initially a nearly homogeneous isotropic turbulent flow at the measurement area. The distorted turbulent flow has a Taylor microscale Reynolds number in the range of 100 < Reλ < 152 before creating the strain and is strained with a mean strain rate of 4 s−1 in the Y direction. The measurement is conducted in the presence of gravity consequent to the actual condition, an effect that is usually neglected and has not been investigated in most numerical studies. A Lagrangian particle tracking technique is used to extract the flow characterizations. It is used to assess the capability of the GRU model to forecast the unknown turbulent flow pattern affected by distortion and gravity using spatiotemporal input data. Using the flow track’s location (spatial) and time (temporal) highlights the model’s superiority. The suggested approach provides the possibility to predict the emerging pattern of the strained turbulent flow properties observed in many natural and artificial phenomena. In order to optimize the consumed computing, hyperparameter optimization (HPO) is used to improve the GRU model performance by 14–20%. Model training and inference run on the high-performance computing (HPC) JUWELS-BOOSTER and DEEP-DAM systems at the Jülich Supercomputing Centre, and the code speed-up on these machines is measured. The proposed model produces accurate predictions for turbulent flows in the Lagrangian view with a mean absolute error (MAE) of 0.001 and an R2 score of 0.993.
本研究提出了一种新方法,即使用门控递归单元(GRU)模型(一种深度神经网络)在拉格朗日框架下预测湍流。新出现的速度场是根据一个扭曲湍流的实验数据预测的,该湍流最初在测量区域是一个近乎均匀的各向同性湍流。在产生应变之前,扭曲湍流的泰勒微尺度雷诺数范围为 100 < Reλ < 152,Y 方向的平均应变速率为 4 s-1。测量是在实际条件下存在重力的情况下进行的,这种影响通常被忽视,大多数数值研究也未对其进行调查。拉格朗日粒子跟踪技术用于提取流动特征。它用于评估 GRU 模型利用时空输入数据预测受扭曲和重力影响的未知湍流模式的能力。利用流动轨迹的位置(空间)和时间(时间)可以突出模型的优越性。建议的方法为预测在许多自然和人工现象中观察到的应变湍流特性的新模式提供了可能性。为了优化所消耗的计算,采用了超参数优化(HPO)技术,将 GRU 模型的性能提高了 14-20%。模型的训练和推理在尤里希超级计算中心的高性能计算(HPC)JUWELS-BOOSTER 和 DEEP-DAM 系统上运行,并对这些机器上的代码加速进行了测量。所提出的模型在拉格朗日视角下对湍流进行了精确预测,平均绝对误差 (MAE) 为 0.001,R2 为 0.993。
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引用次数: 0
Airborne Transmission of SARS-CoV-2: The Contrast between Indoors and Outdoors SARS-CoV-2 的空中传播:室内与室外的对比
IF 1.9 Q2 Engineering Pub Date : 2024-02-22 DOI: 10.3390/fluids9030054
C. Beggs, R. Abid, Fariborz Motallebi, Abdus Samad, Nithya Venkatesan, Eldad J. Avital
COVID-19 is an airborne disease, with the vast majority of infections occurring indoors. In comparison, little transmission occurs outdoors. Here, we investigate the airborne transmission pathways that differentiate the indoors from outdoors and conclude that profound differences exist, which help to explain why SARS-CoV-2 transmission is much more prevalent indoors. Near- and far-field transmission pathways are discussed along with factors that affect infection risk, with aerosol concentration, air entrainment, thermal plumes, and occupancy duration all identified as being influential. In particular, we present the fundamental equations that underpin the Wells–Riley model and show the mathematical relationship between inhaled virus particles and quanta of infection. A simple model is also presented for assessing infection risk in spaces with incomplete air mixing. Transmission risk is assessed in terms of aerosol concentration using simple 1D equations, followed by a description of thermal plume–ceiling interactions. With respect to this, we present new experimental results using Schlieren visualisation and computational fluid dynamics (CFD) based on the Eulerian–Lagrangian approach. Pathways of airborne infection are discussed, with the key differences identified between indoors and outdoors. In particular, the contribution of thermal and exhalation plumes is evaluated, and the presence of a near-field/far-field feedback loop is postulated, which is absent outdoors.
COVID-19 是一种空气传播疾病,绝大多数感染发生在室内。相比之下,室外传播很少。在这里,我们研究了室内与室外不同的空气传播途径,并得出结论:两者之间存在着深刻的差异,这有助于解释为什么 SARS-CoV-2 在室内传播更为普遍。我们讨论了近场和远场传播途径以及影响感染风险的因素,其中气溶胶浓度、空气夹带、热羽流和占用时间都被认为是有影响的因素。我们特别介绍了威尔斯-瑞利模型的基本方程,并展示了吸入病毒颗粒与感染量子之间的数学关系。我们还提出了一个简单的模型,用于评估空气混合不完全空间的感染风险。使用简单的一维方程,根据气溶胶浓度评估传播风险,然后描述热羽流与天花板的相互作用。为此,我们介绍了基于欧拉-拉格朗日方法的 Schlieren 可视化和计算流体动力学(CFD)的新实验结果。我们讨论了空气传播感染的途径,并确定了室内和室外的主要区别。特别是对热羽流和呼出羽流的贡献进行了评估,并推测了近场/远场反馈回路的存在,而这在室外是不存在的。
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引用次数: 0
Dynamic Mesh Simulations in OpenFOAM: A Hybrid Eulerian–Lagrangian Approach OpenFOAM 中的动态网格模拟:欧拉-拉格朗日混合方法
IF 1.9 Q2 Engineering Pub Date : 2024-02-16 DOI: 10.3390/fluids9020051
R. Pasolari, C. Ferreira, Alexander van van Zuijlen, Carlos Fernando Baptista
The past few decades have witnessed a growing popularity in Eulerian–Lagrangian solvers due to their significant potential for simulating aerodynamic flows, particularly in cases involving strong body–vortex interactions. In this hybrid approach, the two component solvers are mutually coupled in a two-way fashion. Initially, the Lagrangian solver can supply boundary conditions to the Eulerian solver, while the Eulerian solver functions as a corrector for the Lagrangian solution in regions where the latter cannot achieve high accuracy. To utilize such tools effectively, it is vital for them to be capable of handling dynamic mesh movements. This study builds upon the previous research conducted by our team and extends the capabilities of the hybrid solver to handle dynamic meshes. While OpenFOAM, the Eulerian component of this hybrid code, incorporates built-in dynamic mesh properties, certain modifications are necessary to ensure its compatibility with the Lagrangian solver. More specifically, the evolution algorithm of the pimpleFOAM solver needs to be divided into two discrete steps: first, updating the mesh, and later, evolving the solution. This division enables a proper coupling between pimpleFOAM and the Lagrangian solver as an intermediate step. Therefore, the primary objective of this specific paper is to adapt the OpenFOAM solver to meet the demands of the hybrid solver and subsequently validate that the hybrid solver can effectively address dynamic mesh challenges using this approach. This approach introduces a pioneering method for conducting dynamic mesh simulations within the OpenFOAM framework, showcasing its potential for broader applications. To validate the approach, various test cases involving dynamic mesh movements are employed. Specifically, all these cases employ the Lamb–Oseen diffusing vortex, but each case incorporates different types of mesh movements, including translational, rotational, oscillational, and combinations thereof. The results from these cases demonstrate the effectiveness of the proposed OpenFOAM algorithm, with the maximum relative errors —when compared to the analytical solution across all presented cases—capped at 2.0% for the worst-case scenario. This affirms the algorithm’s capability to successfully handle dynamic mesh simulations with the proposed solver.
过去几十年来,欧拉-拉格朗日求解器越来越受欢迎,因为它们在模拟空气动力流,特别是涉及强烈体涡相互作用的情况下,具有巨大的潜力。在这种混合方法中,两个求解器以双向方式相互耦合。首先,拉格朗日求解器可以为欧拉求解器提供边界条件,而欧拉求解器则在拉格朗日求解器无法达到高精度的区域充当拉格朗日求解器的修正器。要有效利用这些工具,它们必须能够处理动态网格移动。本研究以我们团队之前的研究为基础,扩展了混合求解器处理动态网格的能力。虽然混合代码的欧拉部分 OpenFOAM 包含内置的动态网格属性,但为了确保其与拉格朗日求解器的兼容性,有必要进行某些修改。更具体地说,pimpleFOAM 求解器的演化算法需要分为两个离散步骤:首先是更新网格,然后是演化求解。这种划分可以使 pimpleFOAM 和拉格朗日求解器之间的中间步骤适当耦合。因此,本文的主要目的是调整 OpenFOAM 求解器,以满足混合求解器的需求,并随后验证混合求解器是否能利用这种方法有效解决动态网格难题。该方法介绍了在 OpenFOAM 框架内进行动态网格模拟的开创性方法,展示了其更广泛的应用潜力。为了验证该方法,我们采用了各种涉及动态网格运动的测试案例。具体来说,所有这些案例都采用了 Lamb-Oseen 扩散漩涡,但每个案例都包含了不同类型的网格运动,包括平移、旋转、振荡以及它们的组合。这些案例的结果证明了 OpenFOAM 算法的有效性,在最坏情况下,与所有案例的分析解决方案相比,最大相对误差仅为 2.0%。这证实了该算法有能力利用所提出的求解器成功处理动态网格模拟。
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引用次数: 0
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