Course 25 | Advanced Engineering Methods

Verification, Validation, and Uncertainty Quantification

Check whether models, simulations, and engineering results are credible through verification, validation, uncertainty, sensitivity, and evidence.

Advanced Engineering MethodsLesson hub

Course snapshot

Purpose
VVUQ teaches students how to judge whether a model or simulation result can be trusted for an engineering decision.
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Content status
Lesson hub

How to study this course

  1. State the model purpose
  2. Check implementation and solution quality
  3. Compare against data or simpler estimates
  4. Quantify uncertainty and sensitivity
  5. Document credibility and limits
01

How this course is designed

Verification before validation

You cannot judge a model against reality until you know the equations are solved correctly. The course keeps the ASME order: verify the mathematics first, then validate the physics, then quantify what remains uncertain.

Grounded in the ASME standards

The framework follows the ASME V&V standards, V&V 10 for solid mechanics, V&V 20 for fluids and heat transfer, and V&V 40 for credibility, so the vocabulary matches professional practice.

Every claim carries a number

Each module ends in a quantity: an order of accuracy, a grid convergence index, a validation uncertainty, a sensitivity index, or a margin, the evidence that turns a result into a defensible decision.

02

The 10 modules

01 | Module

The VVUQ Framework and Model Credibility

Verification, validation, and UQ defined, and the ASME credibility process.

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02 | Module

Code Verification and Order of Accuracy

The method of manufactured solutions and the observed order of accuracy.

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03 | Module

Solution Verification: Richardson Extrapolation and the GCI

Discretization error, Richardson extrapolation, and the grid convergence index.

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04 | Module

Validation Experiments and the Validation Hierarchy

Comparing simulation to data and building validation from units to systems.

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05 | Module

Validation Metrics and Validation Uncertainty

The ASME V&V 20 comparison error and validation uncertainty.

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06 | Module

Sources and Classification of Uncertainty

Aleatory versus epistemic uncertainty and what can be reduced.

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07 | Module

Uncertainty Propagation

Taylor-series propagation and Monte Carlo sampling.

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08 | Module

Sensitivity Analysis

Local sensitivity coefficients and variance-based Sobol indices.

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09 | Module

Model Calibration and Predictive Capability

Calibrating parameters to data and the uncertainty of a prediction.

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10 | Module

Credibility Assessment and Decision-Making

Risk-informed credibility, adequacy for use, and margins.

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