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Analytic Solutions as a Tool for Verification and Validation of a Multiphysics Model 分析解作为多物理模型验证和验证的工具
IF 0.6 Q3 Mathematics Pub Date : 2019-05-15 DOI: 10.2172/1542799
I. Tregillis
Computational physicists are commonly faced with the task of resolving discrepancies between the predictions of a complex, integrated multiphysics numerical simulation, and corresponding experimental datasets. Such efforts commonly require a slow iterative procedure. However, a different approach is available in casesx where the multiphysics system of interest admits closed-form analytic solutions. In this situation, the ambiguity is conveniently broken into separate consideration of theory–simulation comparisons (issues of verification) and theory–data comparisons (issues of validation). We demonstrate this methodology via application to the specific example of a fluid-instability-based ejecta source model under development at Los Alamos National Laboratory and implemented in flag, a Los Alamos continuum mechanics code. The formalism is conducted in the forward sense (i.e., from source to measurement) and enables us to compute, purely analytically, time-dependent piezoelectric ejecta mass measurements for a specific class of explosively driven metal coupon experiments. We incorporate published measurement uncertainties on relevant experimental parameters to estimate a time-dependent uncertainty on these analytic predictions. This motivates the introduction of a “compatibility score” metric, our primary tool for quantitative analysis of the RMI + SSVD model. Finally, we derive a modification to the model, based on boundary condition considerations, that substantially improves its predictions.
计算物理学家通常面临的任务是解决复杂的、集成的多物理数值模拟的预测与相应的实验数据集之间的差异。这种努力通常需要缓慢的迭代过程。然而,在感兴趣的多物理系统允许闭合形式解析解的情况下,可以使用不同的方法。在这种情况下,模糊性很容易被分解为理论-模拟比较(验证问题)和理论-数据比较(验证的问题)的单独考虑。我们通过将该方法应用于洛斯阿拉莫斯国家实验室正在开发的基于流体不稳定性的喷出物源模型的具体示例,并在洛斯阿拉莫斯连续体力学代码flag中实现,来证明该方法。该形式主义是在正向意义上进行的(即从源到测量),使我们能够纯粹分析地计算特定类别爆炸驱动金属试片实验的时间相关压电喷出物质量测量值。我们结合了相关实验参数的已发表测量不确定性,以估计这些分析预测的时间相关不确定性。这促使我们引入了“相容性得分”指标,这是我们对RMI进行定量分析的主要工具 + SSVD模型。最后,基于边界条件的考虑,我们对模型进行了修改,大大改进了模型的预测。
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引用次数: 5
High-Resolution RANS Simulations of Flow Past a Surface-Mounted Cube Using Eddy-Viscosity Closure Models 使用涡流粘度闭合模型对表面安装立方体流动的高分辨率RANS模拟
IF 0.6 Q3 Mathematics Pub Date : 2019-03-01 DOI: 10.1115/1.4044695
M. Goldbach, M. Uddin
While Reynolds-averaged simulations have found success in the evaluation of many canonical shear flows and moderately separated flows, their application to highly separated flows have shown notable deficiencies. This study aimed to investigate these deficiencies in the eddy-viscosity formulation of four commonly used turbulence models under separated flow in an attempt to aid in the improved formulation of such models. Analyses are performed on the flow field around a wall-mounted cube (WMC) at a Reynolds number of 40,000 based on the cube height, h, and freestream velocity, U0. While a common occurrence in industrial applications, this type of flow constitutes a complex structure exhibiting a large separated wake region, high anisotropy, and multiple vortex structures. As well, interactions between vortices developed off of different faces of the cube significantly alter the overall flow characteristics, posing a significant challenge for the commonly used industrial turbulence models. Comparison of mean flow characteristics show remarkable agreement between experimental values and turbulence models which are capable of predicting transitional flow. Evaluation of turbulence parameters show the general underestimation of Reynolds stress for transitional models, while fully turbulent models show this value to be overestimated, resulting in completely disparate representations of mean flow structures between the two classes of models (transitional and fully turbulent).
虽然雷诺平均模拟在许多典型剪切流和中等分离流的评估中取得了成功,但将其应用于高度分离流却显示出明显的不足。本研究旨在探讨在分离流动条件下常用的四种湍流模型的涡流-黏度公式中存在的这些缺陷,以帮助改进这类模型的公式。基于立方体高度h和自由流速度U0,对40,000雷诺数下壁挂式立方体(WMC)周围的流场进行了分析。虽然在工业应用中很常见,但这种类型的流动构成了一个复杂的结构,表现出大的分离尾迹区域,高各向异性和多个涡结构。此外,由立方体不同面形成的漩涡之间的相互作用显著地改变了整体流动特性,这对常用的工业湍流模型提出了重大挑战。平均流动特性的比较表明,实验值与能够预测过渡流的湍流模型具有显著的一致性。对湍流参数的评估表明,过渡模型普遍低估了雷诺应力,而完全湍流模型则高估了雷诺应力,导致两类模型(过渡模型和完全湍流模型)之间的平均流动结构完全不同。
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引用次数: 0
Validation of Notch Sensitivity Factors 缺口敏感性因子的验证
IF 0.6 Q3 Mathematics Pub Date : 2019-03-01 DOI: 10.1115/1.4044236
B. Szabó, R. Actis, D. Rusk
An end-to-end example of the application of the procedures of verification, validation, and uncertainty quantification (VVUQ) is presented with reference to mathematical models formulated for the prediction of fatigue failure in the high cycle range. A validation metric based on the log likelihood function is defined. It is shown that the functional forms of the notch sensitivity factors proposed by Neuber and Peterson cannot be validated but a revised form can be. Calibration and validation are based on published records of fatigue tests performed on notch-free and notched test coupons fabricated from aluminum alloy and alloy steel sheets.
给出了一个端到端的应用验证、验证和不确定性量化(VVUQ)程序的实例,并参考了为预测高周期范围内疲劳失效而制定的数学模型。定义了基于对数似然函数的验证度量。结果表明,Neuber和Peterson提出的缺口敏感因子的函数形式不能得到验证,但可以得到修正形式。校准和验证是基于在铝合金和合金钢薄板制成的无缺口和有缺口试验板上进行的已公布的疲劳试验记录。
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引用次数: 4
A Systematic Validation of a Francis Turbine Under Design and Off-Design Loads 混流式水轮机在设计和非设计负荷下的系统验证
IF 0.6 Q3 Mathematics Pub Date : 2019-03-01 DOI: 10.1115/1.4043965
C. Trivedi
Computational fluid dynamic (CFD) techniques have played a significant role in improving the efficiency of the hydraulic turbines. To achieve safe and reliable design, numerical results should be trustworthy and free from any suspicion. Proper verification and validation (V&V) are vital to obtain credible results. In this work, first we present verification of a numerical model, Francis turbine, using different approaches to ensure minimum discretization errors and proper convergence. Then, we present detailed validation of the numerical model. Two operating conditions, best efficiency point (BEP) (100% load) and part load (67.2% load), are selected for the study. Turbine head, power, efficiency, and local pressure are used for validation. The pressure data are validated in time- and frequency-domains at sensitive locations in the turbine. We also investigated the different boundary conditions, turbulence intensity, and time-steps. The results showed that, while assessing the convergence history, convergence of local pressure/velocity in the turbine is important in addition to the mass and momentum parameters. Furthermore, error in hydraulic efficiency can be misleading, and effort should make to determine the errors in torque, head, and flow rate separately. The total error is 9.82% at critical locations in the turbine. The paper describes a customized V&V approach for the turbines that will help users to determine total error and to establish credibility of numerical models within hydraulic turbines.
计算流体力学(CFD)技术在提高水轮机效率方面发挥了重要作用。为了实现安全可靠的设计,数值结果应该是可信的,没有任何怀疑。正确的验证和确认(V&V)对于获得可信的结果至关重要。在这项工作中,我们首先提出了一个数值模型的验证,混流式涡轮机,使用不同的方法,以确保最小的离散误差和适当的收敛。然后,对数值模型进行了详细的验证。选取最佳效率点(BEP)(100%负荷)和部分负荷(67.2%负荷)两种工况进行研究。涡轮水头、功率、效率和局部压力用于验证。在涡轮敏感位置对压力数据进行时域和频域验证。我们还研究了不同的边界条件、湍流强度和时间步长。结果表明,在评估收敛历史时,除了质量和动量参数外,涡轮内部局部压力/速度的收敛也很重要。此外,液压效率的误差可能会产生误导,应努力分别确定扭矩、扬程和流量的误差。在汽轮机的关键位置,总误差为9.82%。本文描述了一种定制的水轮机V&V方法,该方法将帮助用户确定总误差并建立水轮机数值模型的可信度。
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引用次数: 10
On the Selection of Sensitivity Analysis Methods in the Context of Tolerance Management 公差管理背景下敏感性分析方法的选择
IF 0.6 Q3 Mathematics Pub Date : 2019-03-01 DOI: 10.1115/1.4043912
Björn Heling, Thomas Oberleiter, B. Schleich, K. Willner, S. Wartzack
Although mass production parts look the same at first sight, every manufactured part is unique, at least on a closer inspection. The reason for this is that every manufactured part is inevitable subjected to different scattering influencing factors and variation in the manufacturing process, such as varying temperatures or tool wear. Products, which are built from these deviation-afflicted parts, consequently show deviations from their ideal properties. To ensure that every single product nevertheless meets its technical requirements, it is necessary to specify the permitted deviations. Furthermore, it is crucial to estimate the consequences of the permitted deviations, which is done via tolerance analysis. During this process, the imperfect parts are assembled virtually and the effects of the geometric deviations can be calculated. Since the tolerance analysis enables engineers to identify weak points in an early design stage, it is important to know which contribution every single tolerance has on a certain quality-relevant characteristic to restrict or increase the correct tolerances. In this paper, four different methods to calculate the sensitivity are introduced and compared. Based on the comparison, guidelines are derived which are intended to facilitate a selection of these different methods. In particular, a newly developed approach, which is based on fuzzy arithmetic, is compared to the established high–low–median method, a variance-based method, and a density-based approach. Since all these methods are based on different assumptions, their advantages and disadvantages are critically discussed based on two case studies.
尽管批量生产的零件乍一看是一样的,但至少在仔细检查时,每个制造的零件都是独一无二的。原因是每个制造的零件都不可避免地会受到不同的散射影响因素和制造过程中的变化,例如不同的温度或工具磨损。由这些受偏差影响的零件制成的产品,因此显示出与理想性能的偏差。为了确保每一种产品都符合其技术要求,有必要规定允许的偏差。此外,通过公差分析来估计允许偏差的后果是至关重要的。在此过程中,对不完美的零件进行虚拟装配,并可以计算几何偏差的影响。由于公差分析使工程师能够在早期设计阶段识别弱点,因此了解每个公差对某个质量相关特性的贡献对于限制或增加正确的公差非常重要。本文介绍并比较了四种不同的灵敏度计算方法。在比较的基础上,得出了旨在促进选择这些不同方法的指南。特别是,将一种新开发的基于模糊算法的方法与已建立的高-低-中值方法、基于方差的方法和基于密度的方法进行了比较。由于所有这些方法都基于不同的假设,因此在两个案例研究的基础上批判性地讨论了它们的优缺点。
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引用次数: 3
Estimating Physics Models and Quantifying Their Uncertainty Using Optimization With a Bayesian Objective Function 利用贝叶斯目标函数优化估计物理模型并量化其不确定性
IF 0.6 Q3 Mathematics Pub Date : 2019-03-01 DOI: 10.1115/1.4043807
Stephen A. Andrews, A. Fraser
This paper reports a verification study for a method that fits functions to sets of data from several experiments simultaneously. The method finds a maximum a posteriori probability estimate of a function subject to constraints (e.g., convexity in the study), uncertainty about the estimate, and a quantitative characterization of how data from each experiment constrains that uncertainty. While this work focuses on a model of the equation of state (EOS) of gasses produced by detonating a high explosive, the method can be applied to a wide range of physics processes with either parametric or semiparametric models. As a verification exercise, a reference EOS is used and artificial experimental data sets are created using numerical integration of ordinary differential equations and pseudo-random noise. The method yields an estimate of the EOS that is close to the reference and identifies how each experiment most constrains the result.
本文报告了一种方法的验证研究,该方法将函数同时拟合到来自多个实验的数据集。该方法找到了一个函数的最大后验概率估计,该函数受约束(例如,研究中的凸性)、估计的不确定性以及每个实验的数据如何约束该不确定性的定量表征。虽然这项工作的重点是引爆烈性炸药产生的气体的状态方程(EOS)模型,但该方法可以应用于参数或半参数模型的广泛物理过程。作为验证练习,使用参考EOS,并使用常微分方程和伪随机噪声的数值积分创建人工实验数据集。该方法产生了接近参考的EOS估计,并确定了每个实验如何最大限度地限制结果。
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引用次数: 8
Towards Estimating the Uncertainty Associated with Three-Dimensional Geometry Reconstructed from Medical Image Data. 基于医学图像数据重建三维几何的不确定性估计
IF 0.6 Q3 Mathematics Pub Date : 2019-01-01
Marc Horner, Stephen M Luke, Kerim O Genc, Todd M Pietila, Ross T Cotton, Benjamin A Ache, Zachary H Levine, Kevin C Townsend

Patient-specific computational modeling is increasingly used to assist with visualization, planning, and execution of medical treatments. This trend is placing more reliance on medical imaging to provide accurate representations of anatomical structures. Digital image analysis is used to extract anatomical data for use in clinical assessment/planning. However, the presence of image artifacts, whether due to interactions between the physical object and the scanning modality or the scanning process, can degrade image accuracy. The process of extracting anatomical structures from the medical images introduces additional sources of variability, e.g., when thresholding or when eroding along apparent edges of biological structures. An estimate of the uncertainty associated with extracting anatomical data from medical images would therefore assist with assessing the reliability of patient-specific treatment plans. To this end, two image datasets were developed and analyzed using standard image analysis procedures. The first dataset was developed by performing a "virtual voxelization" of a CAD model of a sphere, representing the idealized scenario of no error in the image acquisition and reconstruction algorithms (i.e., a perfect scan). The second dataset was acquired by scanning three spherical balls using a laboratory-grade CT scanner. For the idealized sphere, the error in sphere diameter was less than or equal to 2% if 5 or more voxels were present across the diameter. The measurement error degraded to approximately 4% for a similar degree of voxelization of the physical phantom. The adaptation of established thresholding procedures to improve segmentation accuracy was also investigated.

特定于患者的计算建模越来越多地用于协助可视化、计划和执行医疗。这种趋势越来越依赖于医学成像来提供准确的解剖结构表征。数字图像分析用于提取解剖数据,用于临床评估/计划。然而,图像伪影的存在,无论是由于物理对象与扫描方式或扫描过程之间的相互作用,都会降低图像的精度。从医学图像中提取解剖结构的过程引入了额外的变异性来源,例如,当阈值化或沿着生物结构的明显边缘侵蚀时。因此,对从医学图像中提取解剖数据的不确定性的估计将有助于评估针对具体患者的治疗计划的可靠性。为此,开发了两个图像数据集,并使用标准图像分析程序进行了分析。第一个数据集是通过对一个球体的CAD模型进行“虚拟体素化”来开发的,代表了图像采集和重建算法中没有错误的理想场景(即完美扫描)。第二个数据集是通过使用实验室级CT扫描仪扫描三个球形球获得的。对于理想的球体,如果在直径上存在5个或更多的体素,则球体直径的误差小于或等于2%。测量误差降低到约4%的体素化程度的物理幻影。本文还研究了阈值分割方法的适应性,以提高分割精度。
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引用次数: 0
Epistemic Uncertainty Stemming From Measurement Processing—A Case Study of Multiphase Shock Tube Experiments 测量过程产生的认知不确定性——以多相激波管实验为例
IF 0.6 Q3 Mathematics Pub Date : 2018-12-01 DOI: 10.1115/1.4042814
Chanyoung Park, J. Matthew, N. Kim, R. Haftka
Experiments of a shock hitting a curtain of particles were conducted at the multiphase shock tube facility at Sandia National Laboratories. These are studied in this paper for quantifying the epistemic uncertainty in the experimental measurements due to processing via measurement models. Schlieren and X-ray imaging techniques were used to obtain the measurements that characterize the particle curtain with particle volume fraction and curtain edge locations. The epistemic uncertainties in the experimental setup and image processing methods were identified and measured. The effects of these uncertainties on the uncertainty in the extracted experimental measurements were quantified. The influence of the epistemic uncertainty was significantly higher than the experimental variability that has been previously considered as the most important uncertainty of experiments.
在桑迪亚国家实验室的多相激波管设备上进行了激波撞击粒子幕的实验。本文对实验测量中由于测量模型处理而产生的认知不确定性进行了量化研究。采用纹影和x射线成像技术获得了粒子幕的测量结果,包括粒子体积分数和幕边缘位置。识别和测量了实验设置和图像处理方法中的认知不确定性。这些不确定度对提取的实验测量不确定度的影响进行了量化。认知不确定性的影响明显高于实验变异性,而实验变异性被认为是实验中最重要的不确定性。
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引用次数: 5
Grid-Induced Numerical Errors for Shear Stresses and Essential Flow Variables in a Ventricular Assist Device: Crucial for Blood Damage Prediction? 心室辅助装置中剪切应力和基本流量变量的网格诱导数值误差:对血液损伤预测至关重要?
IF 0.6 Q3 Mathematics Pub Date : 2018-12-01 DOI: 10.1115/1.4042989
Lucas Konnigk, B. Torner, Sebastian Hallier, M. Witte, F. Wurm
Adverse events due to flow-induced blood damage remain a serious problem for blood pumps as cardiac support systems. The numerical prediction of blood damage via computational fluid dynamics (CFD) is a helpful tool for the design and optimization of reliable pumps. Blood damage prediction models primarily are based on the acting shear stresses, which are calculated by solving the Navier–Stokes equations on computational grids. The purpose of this paper is to analyze the influence of the spatial discretization and the associated discretization error on the shear stress calculation in a blood pump in comparison to other important flow quantities like the pressure head of the pump. Therefore, CFD analysis using seven unsteady Reynolds-averaged Navier–Stokes (URANS) simulations was performed. Two simple stress calculation indicators were applied to estimate the influence of the discretization on the results using an approach to calculate numerical uncertainties, which indicates discretization errors. For the finest grid with 19 × 106 elements, numerical uncertainties up to 20% for shear stresses were determined, while the pressure heads show smaller uncertainties with a maximum of 4.8%. No grid-independent solution for velocity gradient-dependent variables could be obtained on a grid size that is comparable to mesh sizes in state-of-the-art blood pump studies. It can be concluded that the grid size has a major influence on the shear stress calculation, and therefore, the potential blood damage prediction, and that the quantification of this error should always be taken into account.
对于作为心脏支持系统的血泵来说,由于流动引起的血液损伤引起的不良事件仍然是一个严重的问题。通过计算流体动力学(CFD)对血液损伤进行数值预测是设计和优化可靠泵的有用工具。血液损伤预测模型主要基于作用剪切应力,通过在计算网格上求解Navier-Stokes方程来计算。本文的目的是与其他重要流量(如泵的压头)相比,分析空间离散化和相关离散化误差对血泵中剪切应力计算的影响。因此,使用七个非定常雷诺平均Navier-Stokes(URNS)模拟进行了CFD分析。应用两个简单的应力计算指标,使用一种计算数值不确定性的方法来估计离散化对结果的影响,这表明了离散化误差。对于19的最佳网格 × 106个单元,剪切应力的数值不确定性高达20%,而压头显示出较小的不确定性,最大不确定性为4.8%。在与最先进的血泵研究中的网格尺寸相当的网格尺寸上,无法获得速度梯度相关变量的网格独立解。可以得出结论,网格大小对剪切应力计算有重大影响,因此对潜在的血液损伤预测也有重要影响,应始终考虑该误差的量化。
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引用次数: 7
Forensic Uncertainty Quantification for Experiments on the Explosively Driven Motion of Particles 粒子爆炸驱动运动实验的法医学不确定性量化
IF 0.6 Q3 Mathematics Pub Date : 2018-12-01 DOI: 10.1115/1.4043478
K. Hughes, S. Balachandar, N. Kim, Chanyoung Park, R. Haftka, A. Diggs, D. Littrell, Jason Darr
Six explosive experiments were performed in October 2014 and February of 2015 at the Munitions Directorate of the Air Force Research Laboratory with the goal of providing validation-quality data for particle drag models in the extreme regime of detonation. Three repeated single particle experiments and three particle array experiments were conducted. The time-varying position of the particles was captured within the explosive products by X-ray imaging. The contact front and shock locations were captured by high-speed photography to provide information on the early time gas behavior. Since these experiments were performed in the past and could not be repeated, we faced an interesting challenge of quantifying and reducing uncertainty through a detailed investigation of the experimental setup and operating conditions. This paper presents the results from these unique experiments, which can serve as benchmark for future modeling, and also our effort to reduce uncertainty, which we dub forensic uncertainty quantification (FUQ).
2014年10月和2015年2月,空军研究实验室弹药局进行了六次爆炸实验,目的是为极端爆炸状态下的颗粒阻力模型提供验证质量数据。进行了三次重复的单粒子实验和三次粒子阵列实验。通过X射线成像捕捉到爆炸物内颗粒的时变位置。接触前沿和冲击位置通过高速摄影获得,以提供早期气体行为的信息。由于这些实验是在过去进行的,不能重复,我们面临着一个有趣的挑战,即通过对实验设置和操作条件的详细调查来量化和降低不确定性。本文介绍了这些独特实验的结果,这些结果可以作为未来建模的基准,以及我们为减少不确定性所做的努力,我们称之为法医不确定性量化(FUQ)。
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引用次数: 7
期刊
Journal of Verification, Validation and Uncertainty Quantification
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