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Effect of the Heat Transfer Coefficient Reference Temperatures on Validating Numerical Models of Supercritical CO2 传热系数参考温度对超临界CO2数值模型验证的影响
IF 0.6 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.1115/1.4051637
Ya-tsʻêng d. Chao, Nicholas C. Lopes, Mark A. Ricklick, S. Boetcher
Validating turbulence models for cooling supercritical carbon dioxide (sCO2) in a horizontal pipe is challenging due to the lack of experimental data with spatially resolved local temperature measurements. Although many variables may be present to cause discrepancies between numerical and experimental data, this study focuses on how the choice of reference temperatures (both wall reference temperature and fluid bulk reference temperature) when calculating the heat transfer coefficient influences turbulence-model validation results. While it may seem straightforward to simply use the same parameters as the experimental setup, this has not been observed in practice. In this work, numerical simulations are performed for cooling sCO2 in a horizontal pipe for p = 8 MPa, d = 6 mm, G = 200, and 400 kg/(m2s), and qw = 12, 24, and 33 kW/m2. Local and average heat transfer coefficients with different reference temperatures, found to be frequently used in the literature, are presented and compared with commonly used experimental data. It was found that the choice of reference temperatures has a significant influence on the results of the numerical validation. Historically, the higher heat flux cases have been more difficult to validate, theorized due to using reference temperatures differing from the experiment; however, good agreement was found here using the reference temperatures that most closely matched the experiment. This not only highlights the need for careful selection of reference temperatures in simulations, but also the importance of clearly defining the reference temperature employed when reporting experimental results.
由于缺乏具有空间分辨率的局部温度测量的实验数据,验证水平管道中冷却超临界二氧化碳(sCO2)的湍流模型具有挑战性。虽然可能存在许多变量导致数值和实验数据之间的差异,但本研究的重点是计算传热系数时参考温度(壁面参考温度和流体体参考温度)的选择如何影响湍流模型验证结果。虽然简单地使用与实验设置相同的参数似乎很简单,但在实践中并未观察到这一点。在这项工作中,数值模拟了在p = 8 MPa, d = 6 mm, G = 200和400 kg/(m2s), qw = 12, 24和33 kW/m2的水平管道中冷却sCO2的情况。本文给出了文献中常用的不同参考温度下的局部传热系数和平均传热系数,并与常用的实验数据进行了比较。结果表明,参考温度的选择对数值验证结果有显著影响。从历史上看,由于使用与实验不同的参考温度,较高的热通量情况更难以验证;然而,使用与实验最接近的参考温度,这里发现了很好的一致性。这不仅强调了在模拟中仔细选择参考温度的必要性,而且还强调了在报告实验结果时明确定义参考温度的重要性。
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引用次数: 4
Embedded-Error Bayesian Calibration of Thermal Decomposition of Organic Materials 有机材料热分解的嵌入误差贝叶斯校正
IF 0.6 Q3 Mathematics Pub Date : 2021-12-01 DOI: 10.1115/1.4051638
A. Frankel, E. Wagman, R. Keedy, B. Houchens, Sarah N. Scott
Organic materials are an attractive choice for structural components due to their light weight and versatility. However, because they decompose at low temperatures relative to traditional materials, they pose a safety risk due to fire and loss of structural integrity. To quantify this risk, analysts use chemical kinetics models to describe the material pyrolysis and oxidation using thermogravimetric analysis (TGA). This process requires the calibration of many model parameters to closely match experimental data. Previous efforts in this field have largely been limited to finding a single best-fit set of parameters even though the experimental data may be very noisy. Furthermore, the chemical kinetics models are often simplified representations of the true decomposition process. The simplification induces model-form errors that the fitting process cannot capture. In this work, we propose a methodology for calibrating decomposition models to TGA data that accounts for uncertainty in the model-form and experimental data simultaneously. The methodology is applied to the decomposition of a carbon fiber epoxy composite with a three-stage reaction network and Arrhenius kinetics. The results show a good overlap between the model predictions and TGA data. Uncertainty bounds capture deviations of the model from the data. The calibrated parameter distributions are also presented. The distributions may be used in forward propagation of uncertainty in models that leverage this material.
有机材料由于其重量轻和多功能性,是结构部件的一个有吸引力的选择。然而,由于它们相对于传统材料在低温下分解,因此由于火灾和结构完整性的丧失,它们构成了安全风险。为了量化这种风险,分析师使用化学动力学模型,使用热重分析(TGA)来描述材料的热解和氧化。这一过程需要校准许多模型参数,以与实验数据紧密匹配。尽管实验数据可能非常嘈杂,但先前在该领域的努力在很大程度上仅限于找到一组最适合的参数。此外,化学动力学模型通常是真实分解过程的简化表示。简化会导致拟合过程无法捕捉到的模型形状错误。在这项工作中,我们提出了一种将分解模型校准为TGA数据的方法,该方法同时考虑了模型形式和实验数据的不确定性。该方法应用于具有三阶段反应网络和阿伦尼斯动力学的碳纤维-环氧树脂复合材料的分解。结果表明,模型预测和TGA数据之间有很好的重叠。不确定性边界捕捉模型与数据的偏差。给出了标定后的参数分布。分布可用于利用该材料的模型中不确定性的正向传播。
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引用次数: 1
Quantifying Uncertainty of Damage in Composites Using a Quasi Monte Carlo Technique 用准蒙特卡罗技术量化复合材料损伤的不确定性
IF 0.6 Q3 Mathematics Pub Date : 2021-11-03 DOI: 10.1115/1.4052895
Emil Pitz, K. Pochiraju
Property variations in a structure strongly impact the macroscopic mechanical performance as regions with lower strength will be prone to damage initiation or acceleration. Consideration of the variability in material property is critical for high-resolution simulations of damage initiation and propagation. While the recent progressive damage analyses consider randomness in property fields, accurately quantifying the uncertainty in damage measures remains computationally expensive. Stochastic damage analyses require extensive sampling of random property fields and numerous replications of the underlying non-linear deterministic simulations. This paper demonstrates that a Quasi Monte Carlo (QMC) method, which uses a multi-dimensional low discrepancy Sobol sequence, is a computationally economical way to obtain the mean and standard deviations in cracks evolving in composites. An Extended Finite Element Method (XFEM) method with spatially random strength fields simulates the damage initiation and evolution in a model composite. We compared the number of simulations required for Monte Carlo (MC) and QMC techniques to measure the influence of input variability on the mean crack-length in an open-hole angle-ply tensile test. We conclude that the low discrepancy sampling and QMC technique converges substantially faster than traditional MC methods.
结构中的性能变化强烈影响宏观机械性能,因为具有较低强度的区域将倾向于损伤引发或加速。考虑材料特性的可变性对于损伤萌生和传播的高分辨率模拟至关重要。虽然最近的渐进损伤分析考虑了特性场中的随机性,但准确量化损伤测量中的不确定性在计算上仍然很昂贵。随机损伤分析需要对随机特性场进行大量采样,并对潜在的非线性确定性模拟进行大量复制。本文证明,使用多维低差异Sobol序列的准蒙特卡罗(QMC)方法是一种计算经济的方法,可以获得复合材料裂纹演化的平均偏差和标准偏差。具有空间随机强度场的扩展有限元方法模拟了复合材料模型中的损伤萌生和演化。我们比较了蒙特卡罗(MC)和QMC技术所需的模拟次数,以测量开孔斜交层拉伸试验中输入可变性对平均裂纹长度的影响。我们得出的结论是,低差异采样和QMC技术的收敛速度大大快于传统的MC方法。
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引用次数: 0
On the Generation of Tuned Test Problems for Stress Concentrations 关于应力集中调谐测试问题的生成
IF 0.6 Q3 Mathematics Pub Date : 2021-10-27 DOI: 10.1115/1.4052833
G. Sinclair, A. Kardak
When stress concentration factors are not available in handbooks, finite element analysis has become the predominant method for determining their values. For such determinations, there is a need to know if they have sufficient accuracy. Tuned Test Problems can provide a way of assessing the accuracy of stress concentration factors found with finite elements. Here we offer a means of constructing such test problems for stress concentrations within boundaries that have local constant radii of curvature. These problems are tuned to their originating applications by sharing the same global geometries and having slightly higher peak stresses. They also have exact solutions, thereby enabling a precise determination of the errors incurred in their finite element analysis.
当手册中没有应力集中系数时,有限元分析已成为确定应力集中系数值的主要方法。对于这样的测定,有必要知道它们是否具有足够的准确性。调整测试问题可以提供一种方法来评估用有限元素发现的应力集中因子的准确性。在这里,我们提供了一种方法来构造这样的测试问题的边界内的应力集中,具有局部恒定的曲率半径。这些问题通过共享相同的全局几何形状和略高的峰值应力来调整到它们的原始应用中。它们也有精确的解,从而能够精确地确定在有限元分析中产生的误差。
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引用次数: 1
Experimental and Modeling Uncertainty Considerations for Determining the First Item Ignited in a Compartment Using a Bayesian Method 用贝叶斯方法确定舱室中点燃的第一件物品的实验和建模不确定性考虑
IF 0.6 Q3 Mathematics Pub Date : 2021-10-21 DOI: 10.1115/1.4052796
J. Cabrera, R. Moser, O. Ezekoye
Fire scene reconstruction and determining the fire evolution (i.e. item-to-item ignition events) using the post-fire compartment is an extremely difficult task because of the time-integrated nature of the observed damages. Bayesian methods are ideal for making inferences amongst hypotheses given observations and are able to naturally incorporate uncertainties. A Bayesian methodology for determining probabilities to items that may have initiated the fire in a compartment from damage signatures is developed. Exercise of this methodology requires uncertainty quantification of these damage signatures. A simple compartment configuration was used to quantify the uncertainty in damage predictions by Fire Dynamics Simulator (FDS), and a compartment evolution program, JT-risk as compared to experimentally derived damage signatures. Surrogate sensors spaced within the compartment use heat flux data collected over the course of the simulations to inform damage models. Experimental repeatability showed up to 4% uncertainty in damage signatures between replicates . Uncertainties for FDS and JT-risk ranged from 12% up to 32% when compared to experimental damages. Separately, the evolution physics of a simple three fuel package problem with surrogate damage sensors were characterized in a compartment using experimental data, FDS, and JT-risk predictions. An simple ignition model was used for each of the fuel packages. The Bayesian methodology was exercised using the damage signatures collected, cycling through each of the three fuel packages, and combined with the previously quantified uncertainties. Only reconstruction using experimental data was able to confidently predict the true hypothesis from the three scenarios.
由于观察到的损害具有时间集成性,使用火灾后隔间重建火灾现场并确定火灾演变(即物品到物品的点火事件)是一项极其困难的任务。贝叶斯方法是在给定观测的假设之间进行推断的理想方法,并且能够自然地纳入不确定性。开发了一种贝叶斯方法,用于根据损坏特征确定可能引起隔间火灾的物品的概率。运用这种方法需要对这些损害特征进行不确定性量化。通过火焰动力学模拟器(FDS),使用一个简单的隔室结构来量化损伤预测的不确定性,并与实验得出的损伤特征进行了比较。间隔在舱内的替代传感器使用模拟过程中收集的热通量数据来为损伤模型提供信息。实验可重复性表明,重复之间的损伤特征不确定性高达4%。与实验损伤相比,FDS和jt风险的不确定性从12%到32%不等。另外,利用实验数据、FDS和jt风险预测,对一个具有替代损伤传感器的简单三燃料包问题的演化物理特性进行了表征。每个燃料包都采用了简单的点火模型。贝叶斯方法使用收集到的损伤特征,循环遍历三种燃料包,并结合先前量化的不确定性。只有利用实验数据进行重建,才能自信地从这三种情况中预测出真实的假设。
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引用次数: 0
Benchmark Validation Experiment of Plenum-to-Plenum Flow Through Heated Parallel Channels 通过加热平行通道的正压室-正压室流动的基准验证实验
IF 0.6 Q3 Mathematics Pub Date : 2021-10-15 DOI: 10.1115/1.4052763
A. W. Parker, Barton L. Smith
This paper documents a computational fluid dynamics (CFD) validation benchmark experiment for flow through three parallel, heated channels from one plenum to another. The test section was installed into a facility designed for natural convection benchmark validation experiments. The focus of these experiments was the highly-coupled thermal-fluid dynamics that occur between mixing jets in the upper plenum of the wind tunnel. A thermal instability in mixing jets, called thermal striping, can cause damage to structures which is a concern for High Temperature Gas Reactors. Nine experimental cases were explored by varying the relative channel temperature or blower speed. The boundary conditions for CFD validation were measured and tabulated along with an uncertainty. Geometry measurements of the triple channel test section were used to make an as-built solid model for use in simulation. The outer tunnel and channel surface temperatures, the pressure drop across the test section, atmospheric conditions, and inflow into the upper plenum were measured or calculated for the boundary conditions. The air velocity and temperature were measured in the jet mixing region of the upper plenum as system response quantities.
本文记录了一个计算流体动力学(CFD)验证基准实验,用于通过三个平行的加热通道从一个气室到另一个气室内的流动。测试部分安装在一个为自然对流基准验证实验设计的设施中。这些实验的重点是风洞上部充气室中混合射流之间发生的高度耦合的热流体动力学。混合射流中的热不稳定性,称为热剥离,会对结构造成损坏,这是高温气体反应器关注的问题。通过改变相对通道温度或鼓风机速度来探索九个实验案例。对CFD验证的边界条件进行了测量,并将其与不确定性一起制成表格。三通道试验段的几何测量用于制作用于模拟的竣工实体模型。针对边界条件,测量或计算了外部隧道和通道表面温度、试验段压降、大气条件以及流入上部增压室的流量。在上充气室的射流混合区域中测量空气速度和温度作为系统响应量。
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引用次数: 0
Response to “Closure on the Discussion of “Models, Uncertainty, and the Sandia V&V Challenge Problem” ” (Oberkampf, W. L., and Balch, M. S., ASME J. Verif. Valid. Uncert., 2020, 5(3), p. 035501-1)
IF 0.6 Q3 Mathematics Pub Date : 2021-09-01 DOI: 10.1115/1.4051591
G. Hazelrigg, G. Klutke
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引用次数: 0
Optimal Selection of Model Validation Experiments: Guided by Coverage 模型验证实验的优化选择:以覆盖率为指导
IF 0.6 Q3 Mathematics Pub Date : 2021-09-01 DOI: 10.1115/1.4051497
Robert Hällqvist, R. Braun, M. Eek, P. Krus
Modeling and Simulation (M&S) is seen as a means to mitigate the difficulties associated with increased system complexity, integration, and cross-couplings effects encountered during development of aircraft subsystems. As a consequence, knowledge of model validity is necessary for taking robust and justified design decisions. This paper presents a method for using coverage metrics to formulate an optimal model validation strategy. Three fundamentally different and industrially relevant use-cases are presented. The first use-case entails the successive identification of validation settings, and the second considers the simultaneous identification of n validation settings. The latter of these two use-cases is finally expanded to incorporate a secondary model-based objective to the optimization problem in a third use-case. The approach presented is designed to be scalable and generic to models of industrially relevant complexity. As a result, selecting experiments for validation is done objectively with little required manual effort.
建模和仿真(M&S)被视为一种手段,以减轻在飞机子系统开发过程中遇到的与增加的系统复杂性、集成和交叉耦合效应相关的困难。因此,模型有效性的知识对于采取稳健和合理的设计决策是必要的。本文提出了一种使用覆盖度量来制定最佳模型验证策略的方法。本文提出了三种根本不同且与工业相关的用例。第一个用例需要连续识别验证设置,第二个用例考虑同时识别n个验证设置。最后对这两个用例中的后一个进行扩展,将第二个基于模型的目标合并到第三个用例中的优化问题中。所提出的方法被设计为可扩展的和通用的工业相关复杂性的模型。因此,选择实验进行验证是客观的,几乎不需要人工努力。
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引用次数: 2
Credibility Assessment of Machine Learning in a Manufacturing Process Application 机器学习在制造过程应用中的可信度评估
IF 0.6 Q3 Mathematics Pub Date : 2021-09-01 DOI: 10.1115/1.4051717
G. Banyay, Clarence Worrell, S. E. Sidener, Joshua S. Kaizer
We present a framework for establishing credibility of a machine learning (ML) model used to predict a key process control variable setting to maximize product quality in a component manufacturing application. Our model coupled a purely data-based ML model with a physics-based adjustment that encoded subject matter expertise of the physical process. Establishing credibility of the resulting model provided the basis for eliminating a costly intermediate testing process that was previously used to determine the control variable setting.
我们提出了一个框架,用于建立机器学习(ML)模型的可信度,该模型用于预测关键过程控制变量设置,以最大限度地提高组件制造应用中的产品质量。我们的模型将纯粹基于数据的ML模型与基于物理的调整相结合,该调整编码了物理过程的主题专业知识。建立结果模型的可信度为消除先前用于确定控制变量设置的昂贵的中间测试过程提供了基础。
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引用次数: 1
Uncertainty Reduction for Model Error Detection in Multiphase Shock Tube Simulation 多相激波管仿真中模型误差检测的不确定性降低
IF 0.6 Q3 Mathematics Pub Date : 2021-06-06 DOI: 10.1115/1.4051407
Chanyoung Park, Samaun Nili, Justin T. Mathew, F. Ouellet, R. Koneru, N. Kim, S. Balachandar, R. Haftka
Uncertainty quantification (UQ) is an important step in the verification and validation of scientific computing. Validation can be inconclusive when uncertainties are larger than acceptable ranges for both simulation and experiment. Therefore, uncertainty reduction (UR) is important to achieve meaningful validation. A unique approach in this paper is to separate model error from uncertainty such that UR can reveal the model error. This paper aims to share lessons learned from UQ and UR of a horizontal shock tube simulation, whose goal is to validate the particle drag force model for the compressible multiphase flow. First, simulation UQ revealed the inconsistency in simulation predictions due to the numerical flux scheme, which was clearly shown using the parametric design of experiments. By improving the numerical flux scheme, the uncertainty due to inconsistency was removed, while increasing the overall prediction error. Second, the mismatch between the geometry of the experiments and the simplified 1D simulation model was identified as a lack of knowledge. After modifying simulation conditions and experiments, it turned out that the error due to the mismatch was small, which was unexpected based on expert opinions. Last, the uncertainty in the initial volume fraction of particles was reduced based on rigorous UQ. All these UR measures worked together to reveal the hidden modeling error in the simulation predictions, which can lead to a model improvement in the future. We summarized the lessons learned from this exercise in terms of empty success, useful failure, and deceptive success.
不确定度量化(UQ)是科学计算验证和验证的重要步骤。当不确定性大于模拟和实验的可接受范围时,验证可能是不确定的。因此,减少不确定度(UR)对于实现有意义的验证非常重要。本文中的一种独特方法是将模型误差与不确定性分离,以便UR能够揭示模型误差。本文旨在分享从水平冲击管模拟的UQ和UR中吸取的经验教训,其目的是验证可压缩多相流的颗粒阻力模型。首先,模拟UQ揭示了由于数值通量方案而导致的模拟预测的不一致性,这一点通过实验的参数设计得到了明确的证明。通过改进数值通量格式,消除了不一致性带来的不确定性,同时增加了整体预测误差。其次,实验的几何形状和简化的1D模拟模型之间的不匹配被确定为缺乏知识。在修改了模拟条件和实验后,根据专家的意见,由于失配导致的误差很小,这是出乎意料的。最后,基于严格的UQ降低了颗粒初始体积分数的不确定性。所有这些UR措施共同作用,揭示了模拟预测中隐藏的建模误差,这可能导致未来的模型改进。我们总结了从这次演习中吸取的经验教训,包括空洞的成功、有用的失败和欺骗性的成功。
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引用次数: 2
期刊
Journal of Verification, Validation and Uncertainty Quantification
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