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Measures of agreement between computation and experiment: Validation metrics

Journal Article · · Journal of Computational Physics
 [1];  [2]
  1. Validation and Uncertainty Quantification Department, Mailstop 0828, P.O. Box 5800, Sandia National Laboratories, Albuquerque, NM 87185-0828 (United States)
  2. Aerosciences and Compressible Fluid Mechanics Department, Mailstop 0825, P.O. Box 5800, Sandia National Laboratories, Albuquerque, NM 87185 (United States)

With the increasing role of computational modeling in engineering design, performance estimation, and safety assessment, improved methods are needed for comparing computational results and experimental measurements. Traditional methods of graphically comparing computational and experimental results, though valuable, are essentially qualitative. Computable measures are needed that can quantitatively compare computational and experimental results over a range of input, or control, variables to sharpen assessment of computational accuracy. This type of measure has been recently referred to as a validation metric. We discuss various features that we believe should be incorporated in a validation metric, as well as features that we believe should be excluded. We develop a new validation metric that is based on the statistical concept of confidence intervals. Using this fundamental concept, we construct two specific metrics: one that requires interpolation of experimental data and one that requires regression (curve fitting) of experimental data. We apply the metrics to three example problems: thermal decomposition of a polyurethane foam, a turbulent buoyant plume of helium, and compressibility effects on the growth rate of a turbulent free-shear layer. We discuss how the present metrics are easily interpretable for assessing computational model accuracy, as well as the impact of experimental measurement uncertainty on the accuracy assessment.

OSTI ID:
20840336
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 217; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English