Introduction to Uncertainty Quantification Concepts

This document is a guide on Uncertainty Quantification (UQ) and its relevance in engineering education. It outlines the fundamental concepts of UQ, which involves generating and applying mathematical models to measure uncertainty in empirical or simulation results. The guide details three basic steps of UQ: characterizing uncertainties, propagating uncertainties, and interpreting results. It emphasizes the importance of identifying relevant uncertainties and estimating their impact on quantities of interest. Additionally, the guide discusses Sensitivity Analysis, which is closely related to UQ and focuses on identifying the uncertainties that significantly affect the outcomes. Various methods for conducting Sensitivity Analysis are presented, including local and global approaches. The document also provides examples of model and measurement uncertainties, along with references to relevant literature and standards in the field. Overall, the guide serves as a comprehensive resource for understanding and applying UQ in engineering contexts.