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ASME VVUQ 20.1-2024 Multivariate Metric for Validation, 2024
- CONTENTS
- FOREWORD
- ASME VVUQ Committee Roster
- CORRESPONDENCE WITH THE VVUQ COMMITTEE
- PREFACE
- 1 PURPOSE
- 2 SCOPE
- 3 MOTIVATION AND INTRODUCTION
- 4 A MULTIVARIATE METRIC FOR RESULTS FROM MULTIPLE VALIDATION SET POINTS [Go to Page]
- 4.1 Overview of ASME V&V 20-2009
- 4.2 Development of Multivariate Metric Emv2
- 5 EXAMPLE OF THE APPLICATION OF THE MULTIVARIATE METRIC SHOWING THE EFFECTS OF CORRELATION [Go to Page]
- 5.1 Sensitivity Approach
- 5.2 Sampling Approach
- 5.3 Comparison of Results from Sensitivity and Sampling Approaches
- 5.4 Summary
- 6 DISCUSSION AND CAVEATS
- 7 REFERENCES
- Figures [Go to Page]
- Figure 4.1-1 Temperature T as a Function of Time
- Figure 4.1-2 Comparison Error E as a Function of Time
- Figure 4.2.2-1 Assessment of Three Scenarios
- Figure 5.1-1 ASME V&V 20-2009 Validation Metric (E ± uval) at the Two Times for the Three Facilities
- Figure 5.3-1 Schematic Representation of Emv for Three Facilities (Symbols) Using Sensitivity Approach
- Figure 5.3-2 Correlated Errors in Estimates of the True Differences and the Effect of Ignoring Correlation
- Figure A-1-1 Logic Flow for Choosing Approach to Calculate the Validation Uncertainty Matrix, Vval
- Figure B-3.1-1 Experimentally Determined Total Heat Transfer as a Function of Inflow Temperature
- Figure B-4.1-1 Simulation Results and Experimental Observations for Heat Transfer as Functions of Inflow Temperature
- Figure B-5.2.3-1 Comparison Error as a Function of Inflow Temperature With Bars Showing the Range of uval
- Figure C-2.1-1 Domain and Boundary Conditions for the Simulation of the Flow Around the Eppler 387 Airfoil at an Angle of Attack of α = 1 deg and Reynolds number of Re = 3 ×105
- Figure C-3-1 Illustration of a Fully Developed Flow in a Circular Pipe of Diameter, D, and Length, L
- Tables [Go to Page]
- Table 5-1 Simulation Model Parameters a and b
- Table 5-2 Experimental Data D at Two Measurement Times From Three Independent Facilities
- Table 5-3 Mean Simulation Results, Si
- Table 5-4 Comparison Error, Ei, at Two Measurement Times From Three Facilities
- Table 5.1-1 Ratio of Comparison Error, E, to Validation Uncertainty, uval, at the Two Time Instants for the Three Facilities
- Table 5.3-1 Validation Results for Normally Distributed Simulation Model Parameters
- Table A-1-1 Contributions to the Covariance Validation Matrix, Vval, in the Sensitivity Coefficients Approach
- Table A-2.6-1 Summary of Equations Required to Calculate the Validation Uncertainty Matrix, Vval
- Table B-3-1 Measured Flow Conditions and Calculated Total Heat Transfer Rate
- Table B-3-2 Random and Systematic Uncertainties for Input Parameters, Xi
- Table B-3-3 Calculated Sensitivity Coefficients for the Experiments Reported in Table B-3-1
- Table B-3.1-1 Random, Systematic, and Total Data Uncertainties for the Experimental Data
- Table B-4.1-1 Simulation Parameters, Set-Point Conditions, and Results
- Table B-4.1-2 Sensitivity Coefficients for the Simulation Result
- Table B-5.2.2-1 Comparison Error and Validation Uncertainty Estimated Using the Method of Sensitivity Coefficients
- Table B-6.2.1-1 Latin Hypercube Sampling Data
- Table B-6.3-1 Summary of Multivariate Metric Estimates
- Table B-6.3-2 Summary of Multivariate Metric Estimates With Sensitivity/Sampling Ratios
- NONMANDATORY APPENDIX A METHODOLOGY TO EVALUATE THE VALIDATION COVARIANCE MATRIX, Vval [Go to Page]
- A-1 INTRODUCTION
- A-2 Sensitivity Coefficients Approach
- A-3 PROCEDURE TO EVALUATE VALIDATION COVARIANCE MATRIX, Vval, THROUGH RANDOM SAMPLING
- A-4 TWO SHARED IDENTICAL ERRORS BETWEEN THE n VALIDATION SET POINTS (CASES 1B, 2B, 3B, and 4B)
- A-5 VALIDATION COVARIANCE MATRIX, Vval, FOR THE STRONG VERSION OF THE MODEL
- NONMANDATORY APPENDIX B EXAMPLE PROBLEM: FIN-TUBE HEAT EXCHANGER [Go to Page]
- B-1 INTRODUCTION
- B-2 VALIDATION EXAMPLE
- B-3 EXPERIMENTAL DATA AND UNCERTAINTIES
- B-4 SIMULATION MODEL
- B-5 ASME V&V 20-2009 METRIC
- B-6 MULTIVARIATE METRIC
- NONMANDATORY APPENDIX C EXAMPLES OF EVALUATION OF THE VALIDATION COVARIANCE MATRIX, Vval [Go to Page]
- C-1 INTRODUCTION
- C-2 EXAMPLE 1: PRESSURE DISTRIBUTION ON AN AIRFOIL
- C-3 EXAMPLE 2: PRESSURE DROP FOR A FULLY DEVELOPED FLOW IN A SMOOTH PIPE
- C-4 EXAMPLE 3: SKIN FRICTION COEFFICIENT FOR A TURBULENT FLOW OVER A FLAT PLATE [Go to Page]
