ASME VVUQ 10 2 2021
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ASME VVUQ 10.2-2021 – The Role of Uncertainty Quantification in Verification and Validation of Computational Solid Mechanics Models
Published By | Publication Date | Number of Pages |
ASME | 2021 |
The purpose of this Standard is to expand upon the important role of uncertainty quantification (UQ) in verification, validation, and uncertainty quantification (VVUQ).
PDF Catalog
PDF Pages | PDF Title |
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4 | CONTENTS |
5 | Foreword |
6 | ASME VVUQ COMMITTEE ROSTER |
7 | CORRESPONDENCE WITH THE VVUQ COMMITTEE |
9 | INTRODUCTION |
10 | 1 PURPOSE AND SCOPE 1.1 Purpose and Motivation 1.2 Objectives and Scope 2 BACKGROUND AND DEFINITIONS 2.1 Mathematical Models |
11 | Figures Figure 1.1-1 Verification, Validation, and Uncertainty Quantification Process |
12 | 2.2 Variables and Parameters Figure 2.2-1 Illustration of a Tapered Cantilever Beam |
13 | 2.3 Errors and Uncertainties |
14 | 2.4 Aleatory and Epistemic Uncertainties Table Table 2.3-1 Examples of Sources of Error and Uncertainty |
15 | 2.5 Deterministic and Nondeterministic Quantities 2.6 Probabilistic and Nonprobabilistic Methods |
16 | 2.7 Sensitivity Analysis Figure 2.6-1 Illustration of Aleatory and Epistemic Uncertainty |
17 | 2.8 Residual Errors and Residual Uncertainty |
18 | 3 UNCERTAINTY QUANTIFICATION IN MODELING AND SIMULATION Figure 2.8-1 Variation of Standard Residual Error With Number of Input Variables Included in Empirical Model Formulation |
19 | 3.1 Sources of Uncertainty in Modeling 3.1.1 Uncertainties in Model Form. |
20 | 3.1.2 Uncertainties in Model Inputs. 3.1.3 Uncertainties in Numerical Solutions. |
21 | Figure 3.1.2-1 Defining a Random Variable Using Data |
22 | 3.1.4 Uncertainties in Model-Basis Data. 3.2 Uncertainty Propagation Figure 3.2-1 Illustration of the Uncertainty Propagation Process |
23 | 4 UNCERTAINTY QUANTIFICATION IN VALIDATION EXPERIMENTS 4.1 Characteristics of Validation Experiments |
24 | 4.2 Uncertainty Quantification in Validation Experiments |
25 | 5 UNCERTAINTY QUANTIFICATION IN MODEL VALIDATION ASSESSMENT 5.1 Validation Requirements 5.2 Validation Metrics and Assessment |
26 | Figure 5.2.1-1 Extension of the Mean Metric: The Difference Between Ymod and Yexp |
27 | Figure 5.2.2-1 Illustration of the Area Metric |
28 | Figure 5.2.3-1 PDF and CDF of the Error Metric |
29 | 6 UNCERTAINTY QUANTIFICATION IN REVISIONS TO MODEL AND EXPERIMENT |
30 | 7 UNCERTAINTIES IN HIERARCHICAL MODELS |
31 | 8 REFERENCES Figure 7-1 Illustration of a Model Hierarchy |