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Automatic Ground-Truth Image Labeling for Deep Neural Network Training and Evaluation Using Industrial Robotics and Motion Capture 利用工业机器人和运动捕捉技术为深度神经网络训练和评估自动标记地面真实图像
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-20 DOI: 10.1115/1.4064311
Harrison Helmich, Charles J. Doherty, Donald Costello, Michael Kutzer
The United States Navy intends to increase the amount of uncrewed aircraft in a carrier air wing. To support this increase, carrier based uncrewed aircraft will be required to have some level of autonomy as there will be situations where a human cannot be in/on the loop. However, there is no existing and approved method to certify autonomy within Naval Aviation. In support of generating certification evidence for autonomy, the United States Naval Academy has created a training and evaluation system to provide quantifiable metrics for feedback performance in autonomous systems. The preliminary use-case for this work focuses on autonomous aerial refueling. Prior demonstrations of autonomous aerial refueling have leveraged a deep neural network (DNN) for processing visual feedback to approximate the relative position of an aerial refueling drogue. The training and evaluation system proposed in this work simulates the relative motion between the aerial refueling drogue and feedback camera system using industrial robotics. Ground truth measurements of the pose between camera and drogue is measured using a commercial motion capture system. Preliminary results demonstrate calibration methods providing ground truth measurements with millimeter precision. Leveraging this calibration, the proposed system is capable of providing large-scale data sets for DNN training and evaluation against a precise ground truth.
美国海军打算增加航母编队中无人驾驶飞机的数量。为支持这一增长,航母上的无人驾驶飞机将需要具备一定程度的自主性,因为在某些情况下人无法进入/在环路上。然而,在海军航空兵内部,目前还没有经批准的自主性认证方法。为支持生成自主性认证证据,美国海军学院创建了一个培训和评估系统,为自主系统的反馈性能提供可量化的指标。这项工作的初步用例侧重于自主空中加油。之前的自主空中加油演示利用深度神经网络(DNN)处理视觉反馈,以近似确定空中加油垂管的相对位置。本作品中提出的训练和评估系统利用工业机器人技术模拟了空中加油垂体和反馈相机系统之间的相对运动。使用商用动作捕捉系统对相机和垂体之间的姿态进行地面实况测量。初步结果表明,校准方法可提供毫米级精度的地面实况测量。利用这种校准方法,拟议的系统能够提供大规模数据集,用于 DNN 训练和评估精确的地面实况。
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引用次数: 0
Using Responsive Feedback in Scaling a Gender Norms-Shifting Adolescent Sexual and Reproductive Health Intervention in the Democratic Republic of Congo. 在刚果民主共和国,利用响应式反馈来推广改变性别规范的青少年性健康和生殖健康干预措施。
IF 2.5 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-12-18 DOI: 10.9745/GHSP-D-22-00208
Kathryn M Barker, Jennifer Gayles, Mariam Diakité, Florentine Gracia Diantisa, Rebecka Lundgren

Program description: Growing Up GREAT! (GUG) is a sexual and reproductive health (SRH) program for adolescents aged 10-14 years in Kinshasa, Democratic Republic of the Congo (DRC). The multilevel program takes an ecological approach to foster community examination of gender inequitable norms and to increase adolescents' SRH knowledge, skills, and gender-equitable attitudes. GUG design, piloting, and scale-up were informed by a theory of change and responsive feedback mechanisms (RFMs) during piloting and scale-up.

Responsive feedback mechanisms: The program engaged stakeholders via quarterly learning meetings to review monitoring data, evaluation results, and practice-based knowledge and to subsequently identify challenges and develop solutions. The program commissioned rapid research on specific intervention elements to improve implementation and documented scale-up learnings using the World Health Organization/ExpandNet framework.

Achievements: RFMs used in the pilot period allowed the program to address community concerns by intensifying orientation activities with parents and schools, shifting the calendar of activities to increase male engagement, and increasing facilitator training length to improve facilitation quality. Using RFMs during scale-up prompted further adaptations for program sustainability, including recommendations for task-shifting from NGO facilitators to community health workers.

Conclusion: GUG used RFMs from pilot through scale-up to foster a learning culture among local partners, implementers at headquarters, and global research partners. Using responsive feedback (RF) enabled timely response to the evolving implementation context, resulting in strategic program adaptations that fostered increased community support of the project. Other successes due, at least in part, to this RF approach include incorporation of the program into DRC's national adolescent health strategy, and rapid response to the COVID-19 pandemic in educational strategies for program beneficiaries.

计划说明:GREAT 成长计划(GUG)是一项针对刚果民主共和国金沙萨 10-14 岁青少年的性与生殖健康(SRH)计划。该多层次计划采用生态学方法,促进社区对性别不平等规范的审查,提高青少年的性与生殖健康知识、技能和性别平等态度。在试点和推广过程中,GUG 的设计、试点和推广都参考了变革理论和反应反馈机制(RFM):响应式反馈机制:该计划通过季度学习会议让利益攸关方参与进来,审查监测数据、评估结果和基于实践的知识,并随后确定挑战和制定解决方案。该计划委托对具体干预要素进行快速研究,以改进实施工作,并利用世界卫生组织/ExpandNet 框架记录推广学习成果:试点期间使用的 RFM 使该计划能够通过加强对家长和学校的指导活动、调整活动日程以提高男性参与度,以及增加辅导员培训时间以提高辅导质量来解决社区关注的问题。在推广过程中,使用 RFMs 促进了对计划可持续性的进一步调整,包括建议将任务从非政府组织主持人转移到社区卫生工作者:GUG从试点到推广都使用了RFM,在当地合作伙伴、总部实施者和全球研究合作伙伴之间形成了一种学习文化。利用反应反馈(RF)能够及时应对不断变化的实施环境,从而对项目进行战略性调整,增加社区对项目的支持。至少在一定程度上,这种反应反馈方法还取得了其他成功,包括将该项目纳入刚果(金)国家青少年健康战略,以及在针对项目受益人的教育战略中对 COVID-19 大流行做出快速反应。
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引用次数: 0
A Solution Verification Study For Urans Simulations of Flow Over a 5:1 Rectangular Cylinder Using Grid Convergence Index And Least Squares Procedures 基于网格收敛指数和最小二乘程序的5:1矩形圆柱上气流模拟的解验证研究
Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-18 DOI: 10.1115/1.4063818
TarakN Nandi, DongHun Yeo
Abstract A verification study was conducted on an URANS (Unsteady Reynolds-Averaged Navier-Stoke) simulation of flow around a 5:1 rectangular cylinder at a Reynolds number of 56,700 (based on the cylinder depth) using the k-ω SST (Shear Stress Transport) turbulence model and the γ-Reθ transition model for three types of grids (a fully structured grid and two hybrid grids generated using Delaunay and advancing front techniques). The Grid Convergence Index (GCI) and Least Squares (LS) procedures were employed to estimate discretization error and associated uncertainties. The result indicates that the LS procedure provides the most reliable estimates of discretization error uncertainties for solution variables in the structure grid from the k-ω SST model. From the six solution variables, the highest relative uncertainty was typically observed in the rms of lift coefficient, followed by time-averaged reattachment length and peak of rms of pressure coefficient. The solution variable with the lowest uncertainty was Strouhal number, followed by time-averaged drag coefficient. It is also noted that the GCI and LS procedures produce noticeably different uncertainty estimates, primarily due to inconsistences in their estimated observed orders of accuracy and safety factors. To successfully apply the procedures to practical problems, further research is required to reliably estimate uncertainties in solutions with “noisy” grid convergence behaviors and observed orders of accuracy.
摘要采用k-ω剪切应力输移(SST)湍流模型和γ-Reθ转捩模型对三种网格(完全结构网格和采用Delaunay技术和先进前沿技术生成的两种混合网格)进行了雷诺数为56,700(基于柱体深度)的5:1矩形柱体周围流动的URANS(非定常Reynolds-平均Navier-Stoke)模拟。采用网格收敛指数(GCI)和最小二乘(LS)方法估计离散误差和相关不确定性。结果表明,LS方法对k-ω海表温度模型中结构网格解变量的离散化误差不确定性提供了最可靠的估计。在六个解变量中,升力系数的均方根值相对不确定度最高,其次是时间平均再附着长度和压力系数均方根值的峰值。不确定度最低的解变量是斯特罗哈尔数,其次是时间平均阻力系数。还应指出,GCI和LS程序产生明显不同的不确定性估计,主要是由于其估计的观察到的精度和安全系数的顺序不一致。为了成功地将这些方法应用于实际问题,需要进一步研究如何可靠地估计具有“噪声”网格收敛行为和观测精度阶数的解的不确定性。
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引用次数: 0
Strategies for Computational Fluid Dynamics Validation Experiments 计算流体动力学验证实验策略
Q4 ENGINEERING, MECHANICAL Pub Date : 2023-10-06 DOI: 10.1115/1.4063639
Aldo Gargiulo, Julie E Duetsch-Patel, Aurelien Borgoltz, William Devenport, Christopher J Roy, K. Todd Lowe
Abstract The Benchmark Validation Experiment for RANS/LES Investigations (BeVERLI) aims to produce an experimental dataset of three-dimensional non-equilibrium turbulent boundary layers with various levels of separation that, for the first time, meets the most exacting requirements of computational fluid dynamics validation. The application of simulations and modeling in high-consequence engineering environments has become increasingly prominent in the past two decades, considerably raising the standards and demands of model validation and forcing a significant paradigm shift in the design of corresponding validation experiments. In this paper, based on the experiences of project BeVERLI, we present strategies for designing and executing validation experiments, hoping to ease the transition into this new era of fluid dynamics experimentation and help upcoming validation experiments succeed. We discuss the selection of a flow for validation, the synergistic use of simulations and experiments, cross-institutional collaborations, and tools, such as model scans, time-dependent measurements, and repeated and redundant measurements. The proposed strategies are shown to successfully mitigate risks and enable the methodical identification, measurement, uncertainty quantification, and characterization of critical flow features, boundary conditions, and corresponding sensitivities, promoting the highest levels of model validation experiment completeness per Oberkampf and Smith. Furthermore, the applicability of these strategies to estimating critical and difficult-to-obtain bias error uncertainties of different measurement systems, e.g., the underprediction of high-order statistical moments from particle image velocimetry velocity field data due to spatial filtering effects, and to systematically assessing the quality of uncertainty estimates is shown.
摘要/ Abstract摘要:RANS/LES研究基准验证实验(BeVERLI)旨在生成具有不同分离水平的三维非平衡湍流边界层实验数据集,该数据集首次满足了计算流体动力学验证的最严格要求。在过去的二十年中,模拟和建模在高后果工程环境中的应用变得越来越突出,大大提高了模型验证的标准和要求,并迫使相应验证实验的设计发生了重大的范式转变。在本文中,基于BeVERLI项目的经验,我们提出了设计和执行验证实验的策略,希望能够轻松过渡到这个流体动力学实验的新时代,并帮助即将到来的验证实验取得成功。我们讨论了验证流程的选择、模拟和实验的协同使用、跨机构合作和工具,如模型扫描、时间相关测量以及重复和冗余测量。所提出的策略被证明可以成功地降低风险,并能够有条不紊地识别、测量、不确定度量化和描述关键流动特征、边界条件和相应的灵敏度,从而提高Oberkampf和Smith的模型验证实验的最高水平。此外,这些策略适用于估计不同测量系统的关键和难以获得的偏差误差不确定性,例如,由于空间滤波效应,粒子图像测速速度场数据的高阶统计矩的预估不足,以及系统地评估不确定性估计的质量。
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引用次数: 1
On the Verification of Finite Element Determinations of Stress Concentration Factors for Handbooks 手册应力集中系数有限元计算的验证
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-08-01 DOI: 10.1115/1.4063064
A. Kardak, G. Sinclair
Here we offer an approach for being reasonably sure that finite element determinations of stress concentration factors are accurate enough to be included in engineering handbooks. The approach has two contributors. The first consists of analyzing a stress concentration on a sequence of systematically refined meshes until the error estimates of ASME have that sufficient accuracy has been achieved. The second consists of constructing a test problem with an exact and somewhat higher value of its stress concentration factor, then analyzing this test problem with the same sequence of meshes and showing that, in fact, sufficient accuracy has been achieved. In combination, these two means of verification are applied to a series of U-notches in a plate under tension. Together they show that it is reasonable to regard finite element values of stress concentration factors on the finest meshes as being accurate to three significant figures. Given this level of accuracy it is then also reasonable to use the approach to verify other existing stress concentration factors and resolve any discrepancies between them, as well as to verify new stress concentration factors.
在这里,我们提供了一种方法,可以合理地确保应力集中因子的有限元确定足够准确,可以包含在工程手册中。这种方法有两个贡献者。第一步包括分析一系列系统细化网格上的应力集中,直到ASME的误差估计达到足够的精度。第二种方法是构造一个具有精确且略高应力集中因子值的测试问题,然后用相同的网格序列分析该测试问题,并表明事实上已经达到了足够的精度。在组合中,这两种验证方法适用于张力下板上的一系列U形缺口。它们一起表明,将最细网格上的应力集中因子的有限元值视为精确到三个有效数字是合理的。考虑到这种精度水平,使用该方法来验证其他现有的应力集中因子并解决它们之间的任何差异,以及验证新的应力聚集因子也是合理的。
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引用次数: 0
Analysis of Roll Decay for Surface-ship Model Experiments with Uncertainty Estimates 带不确定性估计的水面舰船模型试验横摇衰减分析
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-07-24 DOI: 10.1115/1.4063010
J. Park
Roll decay of David Taylor Model Basin (DTMB) Model 5720, a 23rd scale free-running model of the research vessel (R/V) Melville, is evaluated with uncertainty estimates. Experimental roll-decay time series was accurately modeled as an exponentially decaying cosine function, which is the solution of a second-order ordinary differential equation for damping coefficient of less than one (N < 1). The curve-fit provides damping coefficient (N), period (T), and offset. Roll period in calm water was dependent on Froude number (Fr) and initial roll angle (a). Roll decay data are from 76 runs for three nominal Froude numbers, Fr = 0, 0.15, and 0.22. The initial roll angle variation was 30 to 250. The natural roll period was 2.139 10.041 s 11.9 %). The decay coefficient data were approximated by a plane in three dimensions with Fr and initial roll amplitudes (a) as the independent variables. Curve-fit results are compared to decay coefficient by log decrement and period from time between zero crossings. Examples demonstrate average values for a single roll decay event from log decrement are the same as values by the curve-fitting method within uncertainty estimates. The uncertainty estimate for the decay coefficient is significantly less by curve-fit method in comparison to log-decrement method. By log decrement, the relative uncertainty increases with decreasing roll amplitude peak; consequently, focus should be on the damping coefficient at the largest peaks, where the uncertainty is the smallest.
采用不确定性估计方法对梅尔维尔号科考船(R/V) 23尺度自由运行模型5720模型的滚转衰减进行了评估。实验滚动衰减时间序列被精确地建模为指数衰减余弦函数,它是二阶常微分方程的解,阻尼系数小于1 (N < 1)。曲线拟合提供了阻尼系数(N)、周期(T)和偏移量。静水中的滚转周期取决于弗劳德数(Fr)和初始滚转角(a)。滚转衰减数据来自76次运行,适用于三种名义弗劳德数,Fr = 0,0.15和0.22。初始滚转角变化为30 ~ 250。自然滚动周期为2.139(10.041)(11.9%)。衰减系数数据在三维平面上近似,以Fr和初始滚动幅值(a)为自变量。曲线拟合结果与衰减系数通过对数衰减和从零交叉的时间间隔进行比较。实例表明,从对数衰减得到的单个滚动衰减事件的平均值与曲线拟合方法在不确定性估计中的值相同。曲线拟合法对衰减系数的不确定性估计明显小于对数衰减法。通过对数递减,相对不确定度随横摇振幅峰值的减小而增大;因此,重点应放在不确定性最小的最大峰处的阻尼系数上。
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引用次数: 0
Variability Estimation in a Non-Linear Crack Growth Simulation Model with Controlled Parameters Using Designed Experiments Testing 利用设计实验测试估算参数受控的非线性裂纹生长模拟模型的变异性
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-07-19 DOI: 10.1115/1.4064053
Seungju Yeoa, Paul Funkenbuscha, H. Askari
Variability in multiple independent input parameters makes it difficult to estimate the resultant variability in a system's overall response. The Propagation of Errors (PE) and Monte-Carlo (MC) techniques are two major methods to predict the variability of a system. However, the formalism of PE can lead to an inaccurate estimate for systems that have parameters varying over a wide range. For the latter, the results give a direct estimate of the variance of the response, but for complex systems with many parameters, the number of trials necessary to yield an accurate estimate can be sizeable to the point the technique becomes impractical. The effectiveness of a designed experiment (orthogonal array) methodology, as employed in Taguchi Tolerance Design (TD) method to estimate variability in complex systems is studied. We use a linear elastic 3-point bending beam model and a nonlinear extended finite elements crack growth model to test and compare the PE and MC methods with the TD method. Results from an MC estimate, using 10,000 trials, serve as a reference to verify the result in both cases. We find that the PE method works suboptimal for a coefficient of variation above 5% in the input variables. In addition, we find that the TD method works very well with moderately sized trials of designed experiment for both models. Our results demonstrate how the variability estimation methods perform in the deterministic domain of numerical simulations and can assist in designing physical tests by providing a guideline performance measure.
由于多个独立输入参数存在变异,因此很难估算系统整体响应的变异性。误差传播(PE)和蒙特卡洛(MC)技术是预测系统变异性的两种主要方法。然而,对于参数变化范围较大的系统,PE 的形式主义会导致估计结果不准确。对于后者,其结果可直接估算出响应的方差,但对于参数较多的复杂系统,要获得准确的估算结果,所需的试验次数可能会非常多,以至于该技术变得不切实际。我们研究了田口公差设计(TD)方法中采用的设计实验(正交阵列)方法在估计复杂系统变异性方面的有效性。我们使用线性弹性三点弯曲梁模型和非线性扩展有限元裂纹生长模型来测试和比较 PE 和 MC 方法与 TD 方法。使用 10,000 次试验得出的 MC 估计结果可作为验证两种方法结果的参考。我们发现,当输入变量的变异系数超过 5%时,PE 方法的效果并不理想。此外,我们还发现 TD 方法在两种模型中都能很好地使用中等规模的设计试验。我们的结果表明了变异性估计方法在数值模拟的确定性领域中的表现,并通过提供指导性的性能测量方法来帮助设计物理试验。
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引用次数: 0
Sensitivity Analysis of Direct Numerical Simulation of a Spatially Developing Turbulent Mixing Layer to the Domain Dimensions 空间发展湍流混合层直接数值模拟对区域维数的敏感性分析
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-06-20 DOI: 10.1115/1.4062770
J. Colmenares F., M. Abuhegazy, Y. Peet, S. Murman, S. Poroseva
Understanding spatial development of a turbulent mixing layer is essential for many engineering applications. However, the flow development is difficult to replicate in physical or numerical experiments. For this reason, the most attractive method for the mixing layer analysis is the direct numerical simulation (DNS), with the most control over the simulation inputs and free from modeling assumptions. However, the DNS cost often prevents conducting the sensitivity analysis of the simulation results to variations in the numerical procedure and thus, separating numerical and physical effects. In the current paper, effects of the computational domain dimensions on statistics collected from DNS of a spatially developing incompressible turbulent mixing layer are analyzed with the focus on determining the domain dimensions suitable for studying the flow asymptotic state. In the simulations, the mixing layer develops between two co-flowing laminar boundary layers formed on two sides of a sharp-ended splitter plate of a finite thickness with characteristics close to those of the un-tripped boundary layers in the experiments by J. H. Bell, R. D. Mehta, AIAA Journal, 28 (12), 2034 (1990). The simulations were conducted using the spectral-element code Nek5000.
了解湍流混合层的空间发展对许多工程应用至关重要。然而,在物理或数值实验中,流动的发展是难以复制的。由于这个原因,混合层分析最吸引人的方法是直接数值模拟(DNS),它对模拟输入有最大的控制,并且不需要建模假设。然而,DNS成本常常妨碍对数值过程的变化进行模拟结果的敏感性分析,从而分离数值和物理效应。本文分析了计算域维数对空间发展不可压缩湍流混合层的DNS统计量的影响,重点讨论了适合研究流动渐近状态的域维数。在模拟中,混合层在有限厚度的尖头分流板的两侧形成的两个共流层流边界层之间发展,其特征与J. H. Bell, R. D. Mehta, AIAA学报,28(12),2034(1990)的实验中未跳脱边界层的特征接近。用谱元代码Nek5000进行了模拟。
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引用次数: 0
Semi-Parametric Functional Calibration Using Uncertainty Quantification Based Decision Support 基于不确定性量化决策支持的半参数函数校准
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-06-01 DOI: 10.1115/1.4062694
Anton van Beek, A. Giuntoli, Nitin K. Hansoge, S. Keten, Wei Chen
While most calibration methods focus on inferring a set of model parameters that are unknown but assumed to be constant, many models have parameters that have a functional relation with the controllable input variables. Formulating a low-dimensional approximation of these calibration functions allows modelers to use low-fidelity models to explore phenomena at lengths and time scales unattainable with their high-fidelity sources. While functional calibration methods are available for low-dimensional problems (e.g., one to three unknown calibration functions), exploring high-dimensional spaces of unknown calibration functions (e.g., more than ten) is still a challenging task due to its computational cost and the risk for identifiability issues. To address this challenge, we introduce a semiparametric calibration method that uses an approximate Bayesian computation scheme to quantify the uncertainty in the unknown calibration functions and uses this insight to identify what functions can be replaced with low-dimensional approximations. Through a test problem and a coarse-grained model of an epoxy resin, we demonstrate that the introduced method enables the identification of a low-dimensional set of calibration functions with a limited compromise in calibration accuracy. The novelty of the presented method is the ability to synthesize domain knowledge from various sources (i.e., physical experiments, simulation models, and expert insight) to enable high-dimensional functional calibration without the need for prior knowledge on the class of unknown calibration functions.
虽然大多数校准方法侧重于推断一组未知但假设为常数的模型参数,但许多模型的参数与可控输入变量具有函数关系。通过对这些校准函数进行低维近似,建模人员可以使用低保真度模型来探索高保真度源无法达到的长度和时间尺度上的现象。虽然函数校准方法可用于低维问题(例如,一到三个未知校准函数),但由于其计算成本和可识别性问题的风险,探索未知校准函数(例如,超过十个)的高维空间仍然是一项具有挑战性的任务。为了应对这一挑战,我们引入了一种半参数校准方法,该方法使用近似贝叶斯计算方案来量化未知校准函数中的不确定性,并利用这一见解来确定哪些函数可以用低维近似代替。通过一个测试问题和环氧树脂的粗粒度模型,我们证明了所引入的方法能够识别低维校准函数集,同时在校准精度方面有有限的折衷。所提出的方法的新颖性在于能够综合来自各种来源(即物理实验、模拟模型和专家见解)的领域知识,以实现高维函数校准,而不需要关于未知校准函数类别的先验知识。
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引用次数: 0
Code Verification For The SENSEI CFD Code 代码验证的SENSEI CFD代码
IF 0.6 Q4 ENGINEERING, MECHANICAL Pub Date : 2023-05-23 DOI: 10.1115/1.4062609
Weicheng Xue, Hongyu Wang, Christopher J. Roy
This work performs systematic studies for code verification for turbulence modeling in our research CFD code SENSEI. Turbulence modeling verification cases including cross term sinusoidal manufactured solutions and a few exact solutions are used to justify the proper Spalart-Allmaras and Menter's SST turbulence modeling implementation of the SENSEI CFD code. The observed order of accuracy matches fairly well with the formal order for both the 2D/3D steady-state and 2D unsteady flows when using the cross term sinusoidal manufactured solutions. This work concludes that it is important to keep the spatial discretization error in a similar order of magnitude as the temporal error in order to avoid erroneous analysis when performing combined spatial and temporal order analysis. Since explicit time marching scheme typically requires smaller time step size compared to implicit time marching schemes due to stability constraints, multiple implicit schemes such as the Singly-Diagonally Implicit Runge-Kutta multi-stage scheme and three point backward scheme are used in our work to mitigate the stability constraints.
这项工作对我们研究CFD代码SENSEI中湍流建模的代码验证进行了系统的研究。湍流建模验证案例,包括交叉项正弦制造解决方案和一些精确解决方案,用于证明正确的Spalart-Allmaras和Menter SST湍流建模SENSEI CFD代码的实施。当使用交叉项正弦制造解时,观测到的精度阶数与2D/3D稳态和2D非定常流的形式阶数相当匹配。这项工作得出的结论是,在进行空间和时间顺序的组合分析时,重要的是将空间离散化误差保持在与时间误差相似的数量级,以避免错误的分析。由于稳定性约束,与隐式时间推进方案相比,显式时间推进格式通常需要更小的时间步长,因此在我们的工作中使用了多个隐式方案,如单对角隐式Runge-Kutta多级方案和三点后向方案来减轻稳定性约束。
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引用次数: 1
期刊
Journal of Verification, Validation and Uncertainty Quantification
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