DI-SESS-82548
Report Template for Documentation of Uncertainty Quantification Analyses of Computational Engineering Models
This document provides a template for reporting the results of Uncertainty Quantification (UQ) analyses conducted on Computational Engineering Models (CEM) for Department of Navy contract deliverables.
Approval DateJune 25, 2026
AMSC NumberN10680
Preparing ActivityAS
Project NumberSESS-2026-035
OPR—
DTIC Applicable—
GIDEP Applicable—
Limitation—
Applicable Forms—
Approval Limitation—
Form Version—
DID Formatfree_text
963C CompliantYes
DISTRIBUTION STATEMENT A: Approved for public release; distribution is unlimited.
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—Description & Purpose
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Application & Interrelationship
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Use & Relationship
This document provides a template for reporting the results of Uncertainty Quantification (UQ) analyses conducted on Computational Engineering Models (CEM) for Department of Navy contract deliverables. Contractor formatting is considered acceptable for the UQ Report but must follow the outline documented in this template and include the content described herein.
The DID contains the format, content, and intended use information for the data product resulting from the work task described in the contract SOW.
Preparation Instructions
1Reference documentThe applicable issue of the documents cited herein, including their approval dates and dates of any applicable amendments, notices, and revisions, shall be as specified in the contract. The Contractor shall ensure compliance with FAR and DFAR property clauses applicable to the contract.
2FormatContractor's format is acceptable.
3ContentThe report shall contain the following:
3.1Title pageThe arrangement of the information on the title page of the Report shall comply with organizational guidelines and include appropriate distribution statements for dissemination of the material included in the report.
3.2Record of changes
3.3UQ Report outlineThe report shall contain the following sections with supporting information:
3.3.1UQ Report executive summary
3.3.2Problem statement
3.3.2.1Intended use
3.3.2.2Model assumptions & limitations
3.3.2.3Model verification status
3.3.2.4UQ scope
3.4Uncertainty source identification
3.5Model input uncertainty characterization
3.6Numerical solution uncertainty
3.6.1Model input to output uncertainty propagation
3.6.1.1Sampling of aleatory input uncertainties
3.6.1.2Sampling of epistemic input uncertainties
3.6.1.3Sampling of combined aleatory and epistemic input uncertainties
3.6.2Iterative error
3.6.3Discretization error
3.6.4Total numerical solution uncertainty
3.7Model form uncertainty
3.8Total uncertainty in predicted system response
3.9Model parameter updates
3.10Sensitivity analysis results
3.11Conclusions & recommendations
3.12Appendix A references
3.13Appendix B acronyms
3.14Appendix C glossary
3.15Appendix D distribution list
3.16UQ Report executive summaryThe executive summary provides an overview of the UQ Report. It should be a synopsis, two to four pages in length, of the major elements from all sections of the document, with emphasis on UQ scope, UQ requirements and acceptability criteria, UQ task analysis, UQ applications and usability, and recommendations.
3.17Problem statementThis section describes the problem the Computational Engineering Model (CEM) is expected to address. The problem statement serves as the foundation for the definition of requirements, bounding assumptions, and level of predictive capability delivered by the CEM. It documents (1) the question(s) to be answered and the particular aspects of the problem that the CEM will be used to help address; (2) the decisions that will be made based on the CEM results; and (3) the consequences resulting from erroneous CEM outputs.
3.17.1Intended useThis subsection describes the problem to be addressed by the CEM, including the system or process being represented and the role it plays in the overall capability being provided by the higher-level system that the CEM interfaces with.
3.17.2Quantities of interestThis subsection lists the System Response Quantities (SRQ) that are the computational outputs of the CEM, and Quantities of Interest (QOI) for the UQ analysis of the CEM.
3.17.3Model assumptions & limitationsThis subsection lists the physical, engineering and computational assumptions used to develop the CEM, and the limitations in model usage, precision and accuracy that flow from those simplifying assumptions.
3.17.3.1Physics assumptionsThis subsection describes the assumptions made to simplify the governing physics of the problem for the formulation of the CEM.
3.17.3.2Engineering assumptionsThis subsection describes the assumptions made to simplify the formulation of the CEM based on engineering judgement and/or historical precedence.
3.17.3.3Computational assumptionsThis subsection describes the assumptions made to simplify analytical and numerical computation of the CEM solutions.
3.17.4Model verification statusThis subsection describes the extent of Computational Code and Solution Verification that the CEM has undergone prior to the start of the UQ process.
3.17.5UQ scopeThis subsection describes the scope of the UQ effort based on the assessment of the modeling requirements, bounding assumptions & limitations, level of predictive capability, criteria for UQ Analysis acceptance by the government and the availability of relevant engineering data & resources.
3.18Uncertainty source identificationThis section describes the process used to identify all relevant sources of uncertainty in the CEM for the categories of Model Input, Numerical Solution and Model Form uncertainties. A list of all sources of uncertainties considered in the UQ analysis, and their final dispositions, shall be provided in this section, for each uncertainty category.
3.19Model input uncertainty characterizationThis section describes the methods of characterization used to numerically define the CEM input uncertainties carried through the UQ analysis. Descriptions of the source data, engineering judgement and/or inference from similar CEMs of other systems that were used to define the input uncertainty parameter characterizations shall be provided here. Values of the numerical characterization of all the relevant model input parameters shall be listed as deterministic, probabilistic or interval-valued estimates.
3.20Numerical solution uncertaintyThis section describes the process used to define the uncertainties in the numerical solution of the CEM.
3.20.1Model input to output uncertainty propagationThis subsection describes the process used to propagate the model input uncertainties through the CEM to obtain uncertainty estimates of the output System Response Quantities (SRQs) from the model. If pseudo-random number generators are used to generate sample sets, the description of the random number generator and seed numbers used for the UQ analysis shall be provided. Convergence metrics, or the results of convergence studies shall be listed for any sampling-based methods used.
3.20.1.1Sampling of aleatory input uncertaintiesThis subsection describes the process used to propagate the Aleatory input uncertainties through the CEM.
3.20.1.2Sampling of epistemic input uncertaintiesThis subsection describes the process used to propagate the Epistemic input uncertainties through the CEM.
3.20.1.3Sampling of combined aleatory and epistemic uncertaintiesThis subsection describes the process used to propagate the combined Aleatory and Epistemic input uncertainties through the CEM.
3.21Iterative errorThis subsection describes the process used to estimate the Iterative Error in the CEM, for models that use iterative methods to calculate solutions to the governing equations of the CEM, and/or for any surrogate models used to approximate the solutions from the full-fidelity CEM. Convergence metrics, or the results of convergence studies shall be listed for any iterative methods used.
3.22Discretization errorThis subsection describes the process used to estimate the Discretization Error in the CEM, for models that use discretized approximation methods to calculate solutions to the governing equations of the CEM, and/or for any surrogate models used to approximate the solutions from the full-fidelity CEM. Convergence metrics, or the results of convergence studies shall be listed for any discretization methods used.
3.23Total numerical solution uncertaintyThis subsection describes the process used to combine all sources of numerical error present in the CEM solutions, and how those errors are propagated through the SRQs from the model.
3.24Model form uncertaintyThis section describes the process used to quantify the Model Form Uncertainty in the CEM.
3.25Total uncertainty in predicted system responseThis section describes the process used to combine all sources of uncertainty present in the CEM solutions, and how that uncertainty is propagated through the model to the SRQs of interest.
3.26Model parameter updatesThis section describes the process used to update the parameters of the CEM when new data is available to refine the model. Justification for which parameter(s) are being updated, and which are not, shall be provided. If prior calibration or validation data sets were used to update the model parameter estimates, a description of the data sources and data sets shall be documented here.
3.27Sensitivity analysis resultsThis section describes the process used to conduct the Sensitivity Analysis performed on the CEM and its associated uncertainty parameters. Results of the Sensitivity Analysis will also be listed in this section. The results of interim sensitivity analyses that were used to refine the CEM formulation may be cataloged here, along with the sensitivity results from the final version of the CEM.
3.28Conclusions & recommendationsThis section describes the conclusions drawn from the UQ Analysis process defined in this document, summarizes the predictive capability of the CEM, assesses the suitability of the model to address the engineering problem(s) the model was developed for, and provides recommendations for future model use, validation or model improvement efforts.
3.29Appendices
3.29.1Appendix A referencesThis appendix identifies all of the references used in the development of this document.
3.29.2Appendix B acronymsThis appendix identifies all acronyms used in this document.
3.29.3Appendix C glossaryThis appendix contains definitions that aid in the understanding of this document.
3.29.4Appendix D distribution listThis appendix provides the distribution list for hardcopies or digital copies of the approved document.
3.30UQ Report template referencesDetails and guidance on the conduct of a UQ analysis for CEM can be found in:
3.30.1Oberkampf, W.M. and Roy, C.J"Verification, Validation and Uncertainty Quantification in Scientific Computing, Second Ed.," Cambridge University Press, New York, NY, 2025.
3.30.2ASME VVUQ 1Verification, Validation, and Uncertainty Quantification Terminology in Computational Modeling and Simulation, American Society of Mechanical Engineers, 2022.
3.30.3ASME VV 10Standard for Verification and Validation in Computational Solid Mechanics, American Society of Mechanical Engineers, 2019.
3.30.4ASME VVUQ 10.2The Role of Uncertainty Quantification in Verification and Validation of Computational Solid Mechanics Models, American Society of Mechanical Engineers, 2021.
3.30.5ASME VV 20Standard for Verification and Validation in Computational Fluid Dynamics and Heat Transfer, American Society of Mechanical Engineers, 2009.
3.30.6AIAA GuideGuide for the Verification and Validation of Computational Fluid Dynamics Simulations (AIAA G-077-1998(2002)), American Institute of Aeronautics & Astronautics.
References
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